Existence of normalized solutions for the Chern-Simons-Schr?dinger system with critical exponential growth

Generalized solutions to the model of compressible viscous fluids coupled with the Poisson equation

Stability of the Couette flow for the two dimensional Chemotaxis-Navier-Stokes system

Non-uniqueness of weak solutions to 2D generalized Navier-Stokes equations

Energy conservation for the weak solutions to the 3D compressible nematic liquid crystal flow

Asymptotic Behavior of Solutions for the Fractional Critical Heat Equation in Rn

Rayleigh-Taylor instability of 3D inhomogeneous incompressible Euler equations with damping in a horizontal slab

The Stability of Boussinesq equations with partial dissipation around the hydrostatic balance

Structural stability and optimal convergence rates of subsonic Euler flows with large vorticity in infinitely long nozzles

Global stability of supersonic Euler flows in quasi-one-dimensional convergent nozzles

Normalized Solutions for Two Classes of Kirchhoff Problems with Exponential Critical Growth

A nonlocal Kirchhoff diffusion problem with singular potential and logarithmic nonlinearity

Global existence and decay estimate of solution to rate type viscoelastic fluids

Transonic shock solutions of the steady Euler flow in quasi-one-dimensional convergent nozzles?

Global Well-Posedness of Compressible Magneto-micropolar Fluid Equations

Global small solutions of MHD boundary layer equations in Gevrey function space

The Global Solution and Blowup of a Spatiotemporal EIT Problem with a Dynamical Boundary Condition

Asymptotic stability of explicit infinite energy blowup solutions of the 3D incompressible Navier-Stokes equations

Transonic Shock Solutions of the Steady Euler Flow in Quasi-One-Dimensional Convergent Nozzles

Stability of the Couette Flow for the Two Dimensional Chemotaxis-Navier–Stokes System

Nonlinear elliptic-parabolic problem involving p-Dirichlet-to-Neumann operator with critical exponent

Existence results for fractional Kirchhoff problems with magnetic field and supercritical growth

Optimal partial regularity for very weak solutions to a class of nonlinear elliptic systems

Global Small Solutions of Mhd Boundary Layer Equations in Gevrey Function Space

Asymptotic Stability for a Viscoelastic Equation with the Time-Varying Delay

Blow-up and energy decay for a class of wave equations with nonlocal Kirchhoff-type diffusion and weak damping

A Correlational Strategy for?the?Prediction of?High-Dimensional Stock Data by?Neural Networks and?Technical Indicators

A CLASS OF GLOBAL LARGE SOLUTIONS TO THE OLDROYD-B-TYPE MODEL WITH FRACTIONAL DISSIPATION

THE GLOBAL GENERALIZED SOLUTION OF THE CHEMOTAXIS-NAVIER-STOKES SYSTEM WITH LOGISTIC SOURCE

THE GLOBAL GENERALIZED SOLUTION OF THE CHEMOTAXIS-NAVIER-STOKES SYSTEM WITH LOGISTIC SOURCE

BLOWUP DYNAMICS FOR EQUIVARIANT CRITICAL LANDAU-LIFSHITZ FLOW

Global well-posedness for the 2D micropolar Benard convection system with mixed partial viscosity

Global existence and decay estimates of solutions to the MHD-Boussinesq system with stratification effects

Global low-energy weak solutions of the compressible magneto-micropolar fluids in the half-space

Large time decay rates of the two-dimensional magneto-micropolar fluids with zero angular viscosity

GLOBAL SMALL SOLUTIONS OF MHD BOUNDARY LAYER EQUATIONS IN GEVREY FUNCTION SPACE

The Diffusive Limit of the Bipolar Vlasov-Poisson-Boltzmann Equations

The Rayleigh-Taylor instability of incompressible Euler equations in a horizontal slab domain

THE TIME DECAY RATES OF THE CLASSICAL SOLUTION TO THE POISSON-NERNST-PLANCK-FOURIER EQUATIONS IN R-3

Stability and large-time behavior of the inviscid Boussinesq system for the micropolar fluid with damping

Global well-posedness for the 2D micropolar Benard fluid system with mixed partial dissipation, angular viscosity and without thermal diffusivity

Inertial energy dissipation for weak solution of electrorheological fluids

On behavior of solutions to a Petrovsky equation with damping and variable-exponent sources

Gromov-Hausdorff stability of global attractors for 3D Brinkman-Forchheimer equations

Global regularity for 2D Boussinesq equations with partial viscosity in the half plane

Dynamical boundary problem for Dirichlet-to-Neumann operator with critical Sobolev exponent and Hardy potential

Optimal decay rates of the solution for generalized Poisson-Nernst-Planck-Navier-Stokes equations in R-3

Pullback exponential attractors for a class of non-Newtonian micropolar fluids

Solution semiflow to the compressible Euler equations with damping

Time periodic strong solutions to the Keller-Segel system coupled to Navier-Stokes equation

Decay estimates of solutions to the compressible micropolar fluids system in R-3

Regularity of Weak Solutions to a Class of Nonlinear Problem

Existence and Properties of Solutions for a Class of Fractional Differential Equations

Global well-posedness for the 3D damped micropolar Benard system with zero thermal conductivity

Inverse Boundary Value Problem for the Magnetohydrodynamics Equations

Local existence and uniqueness of weak solutions to fractional pseudo-parabolic equation with singular potential

Regularity and energy conservation for compressible isentropic magnetohydrodynamic equations

Global existence and blowup of solutions to semilinear fractional reaction-diffusion equation with singular potential

Existence of global steady subsonic Euler flows with collision through 2D infinitely long nozzles

Global and exponential attractors for a class of non-Newtonian micropolar fluids

Mathematical modeling and qualitative analysis of viscoelastic conductive fluids

The Decay Estimates for Magnetohydrodynamic Equations with Coulomb Force

Regularity of weak solutions to a class of nonlinear problem with non-standard growth conditions

PARTIAL REGULARITY FOR STATIONARY NAVIER-STOKES SYSTEMS BY THE METHOD OF A-HARMONIC APPROXIMATION

Weak-strong uniqueness for the Navier-Stokes-Poisson equations

The initial value problem for the compressible magnetohydrodynamic equations without heat conductivity

The initial value problem for the compressible Navier-Stokes equations without heat conductivity

The Asymptotic Stability of the Solution to the Full Hall-MHD System in R3

Decay estimates of solutions to the bipolar compressible Euler-Poisson system in R-3

Global existence and asymptotic behavior for the 3D compressible magneto-micropolar fluids in a bounded domain

Global well-posedness and existence of uniform attractor for magnetohydrodynamic equations

Global solution and global orbit to reaction-diffusion equation for fractional Dirichlet-to-Neumann operator with subcritical exponent

ON THE INTEGRAL EQUATION WITH THE AXIS-SYMMETRIC KERNEL

EXISTENCE OF MILD SOLUTIONS AND REGULARITY CRITERIA OF WEAK SOLUTIONS TO THE VISCOELASTIC NAVIER-STOKES EQUATION WITH DAMPING

A Global Existence Result for Korteweg System in the Critical L-P Framework

RETRACTION: Global strong solution to the three-dimensional stochastic incompressible magnetohydrodynamic equations (Retraction of Vol 365, Pg 1219, 2016)

A class of global large solutions to the magnetohydrodynamic equations with fractional dissipation

ON THE HEAT FLOW OF EQUATION OF H-SURFACE

On weak solution to the steady compressible flow of nematic liquid crystals

Global existence and decay estimate of solutions to magneto-micropolar fluid equations

On Integrability Up to the Boundary of the Weak Solutions to a Non-Newtonian Fluid

PARTIAL REGULARITY OF STATIONARY NAVIER-STOKES SYSTEMS UNDER NATURAL GROWTH CONDITION

A NECESSARY CONDITION FOR CERTAIN INTEGRAL EQUATIONS WITH NEGATIVE EXPONENTS

OPTIMAL DECAY RATES OF THE COMPRESSIBLE MAGNETO-MICROPOLAR FLUIDS SYSTEM IN R-3

Regularity for the weak solutions to certain parabolic systems under certain growth condition

Partial regularity up to the boundary for solutions of subquadratic elliptic systems

Decay estimate of solutions to the coupled chemotaxis–fluid equations in R3

Lipschitz metric for conservative solutions of the modified two-component Camassa-Holm system

On the motion of the 3D compressible micropolar fluids with time periodic external forces

Global low-energy weak solution and large-time behavior for the compressible flow of liquid crystals

Asymptotic stability of stationary solutions for Hall magnetohydrodynamic equations

Uniqueness of conservative solutions to the modified two-component Camassa-Holm system via characteristics

Heat flow for Dirichlet-to-Neumann operator with critical growth

Existence and uniqueness of mild solutions to the magneto-hydro-dynamic equations

ASYMPTOTIC BEHAVIOR OF THE COMPRESSIBLE NON-ISENTROPIC NAVIER-STOKES-MAXWELL SYSTEM IN R-3

Global well-posedness of an initial-boundary value problem for viscous non-resistive MHD systems

Global existence and time decay estimate of solutions to the Keller–Segel system

Partial regularity of a certain class of non-Newtonian fluids

BLOW-UP CRITERION OF CLASSICAL SOLUTIONS FOR THE INCOMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOWS

Partial regularity for subquadratic homogeneity elliptic system with VMO-coefficients

Decay estimates of solutions to the bipolar non-isentropic compressible Euler-Maxwell system

STABILITY OF STATIONARY SOLUTIONS TO THE COMPRESSIBLE BIPOLAR EULER POISSON EQUATIONS

Time decay rates for the compressible viscoelastic flows

Asymptotic stability of stationary solutions to the compressible bipolar Navier–Stokes–Poisson equations

The asymptotic behavior of globally smooth solutions to the compressible magnetohydrodynamic equations with Coulomb force

ASYMPTOTIC STABILITY OF STATIONARY SOLUTIONS FOR MAGNETOHYDRODYNAMIC EQUATIONS

Large-time behaviour of solutions to a class of non-Newtonian compressible fluids

Weak solution to the steady compressible flow of nematic liquid crystals

Strong solutions and instability for the fitness gradient system in evolutionary games between two populations

Existence of three solutions for quasilinear elliptic equations: an Orlicz-Sobolev space setting

Partial regularity in the interior for discontinuous inhomogeneous elliptic system with VMO-coefficients

Generic regularity and Lipschitz metric for the Hunter-Saxton type equations

Well-posedness on a new hydrodynamic model of the fluid with the dilute charged particles

TIME PERIODIC SOLUTIONS TO THE COMPRESSIBLE NAVIER-STOKES-POISSON SYSTEM WITH DAMPING

INTEGRABILITY AND ASYMPTOTIC BEHAVIORS OF POSITIVE SOLUTIONS FOR SOME INTEGRAL EQUATIONS

LONG-TIME BEHAVIOR OF SOLUTIONS TO THE NON-ISENTROPIC EULER-POISSON SYSTEM IN R-3

Local 4/5-law and energy dissipation anomaly in turbulence of incompressible MHD Equations

The effect of bend positions on premixed methane–air explosion overpressures in ducts

Existence and stability of stationary solutions to the compressible Navier-Stokes-Poisson equations

Regularity of weak solutions of compressible isentropic self-gravitating fluid

MULTIPLICITY RESULTS FOR A NONLINEAR ELLIPTIC PROBLEM INVOLVING THE FRACTIONAL LAPLACIAN

Flame acceleration in pipes containing bends of different angles

Global strong solution to the three-dimensional stochastic incompressible magnetohydrodynamic equations

Partial regularity for subquadratic parabolic systems under controllable growth conditions

HIGHER INTEGRABILITY OF WEAK SOLUTION OF A NONLINEAR PROBLEM ARISING IN THE ELECTRORHEOLOGICAL FLUIDS

Time periodic solution to the compressible Euler equations with damping in a periodic domain

Global existence and large time behavior of the asymmetric fluids

TIME PERIODIC SOLUTIONS TO THE THREE DIMENSIONAL EQUATIONS OF COMPRESSIBLE MAGNETOHYDRODYNAMIC FLOWS

LARGE-TIME BEHAVIOR OF THE FULL COMPRESSIBLE EULER-POISSON SYSTEM WITHOUT THE TEMPERATURE DAMPING

WEAK TIME-PERIODIC SOLUTIONS TO THE COMPRESSIBLE NAVIER-STOKES EQUATIONS

TIME PERIODIC SOLUTIONS TO NAVIER-STOKES-KORTEWEG SYSTEM WITH FRICTION

On hyperbolic-dissipative systems of composite type

A generalized Poisson-Nernst-Planck-Navier-Stokes model on the fluid with the crowded charged particles: Derivation and its well-posedness

TIME PERIODIC SOLUTIONS TO THE 3D COMPRESSIBLE FLUID MODELS OF KORTEWEG TYPE

DECAY ESTIMATES OF SOLUTIONS TO THE COMPRESSIBLE NAVIER STOKES MAXWELL SYSTEM IN R-3

ENERGY DISSIPATION FOR WEAK SOLUTIONS OF INCOMPRESSIBLE LIQUID CRYSTAL FLOWS

Modeling the long-term antibody response of a hepatitis E vaccine

Global and blowup solutions of semilinear heat equation involving the square root of the Laplacian

Large time behavior of the compressible magnetohydrodynamic equations with Coulomb force

Radial symmetry and asymptotic behaviors of positive solutions for certain nonlinear integral equations

Periodic solutions to the compressible magnetohydrodynamic equations in a periodic domain

ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE COMPRESSIBLE BIPOLAR EULER-MAXWELL SYSTEM IN R-3

Stability of steady states of the navier-stokes-poisson equations with non-flat doping profile

Global existence and convergence rates for the smooth solutions to the compressible magnetohydrodynamic equations in the half space

Decay estimates of solutions to the compressible Euler-Maxwell system in R-3

LPS'S CRITERION FOR INCOMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOWS

Zero Surface Tension Limit of Viscous Surface Waves

ASYMPTOTIC BEHAVIOR OF NAVIER-STOKES-KORTEWEG WITH FRICTION IN R-3

Optimal partial regularity of second order parabolic systems under controllable growth condition

Regularity criteria for the three-dimensional magnetohydrodynamic equations

Optimal decay rates of the compressible fluid models of Korteweg type

The non-existence results for a class of integral equation

Decay estimates of the coupled chemotaxis-fluid equations in R-3

Large-time behavior of solutions to the compressible non-isentropic Euler-Maxwell system in R-3

GLOBAL EXISTENCE AND CONVERGENCE RATES OF SMOOTH SOLUTIONS FOR THE 3-D COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITHOUT HEAT CONDUCTIVITY

DECAY ESTIMATES OF THE NON-ISENTROPIC COMPRESSIBLE FLUID MODELS OF KORTEWEG TYPE IN R-3

Solution Theory of Ginzburg-Landau Theory on BCS-BEC Crossover

Global existence and large time behavior for the system of compressible adiabatic flow through porous media in R-3

Orlicz-Sobolev versus Holder local minimizer and multiplicity results for quasilinear elliptic equations

Decay of the non-isentropic Navier-Stokes-Poisson equations

Global solution and large-time behavior of the 3D compressible Euler equations with damping

Global solutions to the one-dimensional compressible navier-stokes-poisson equations with large data

ENERGY DISSIPATION FOR WEAK SOLUTIONS OF INCOMPRESSIBLE MHD EQUATIONS

NONTRIVIAL SOLUTIONS FOR N-LAPLACIAN EQUATIONS WITH SUB-EXPONENTIAL GROWTH

Variable Exponent Sobolev Spaces for Semilinear Elliptic Systems

NONTRIVIAL SOLUTIONS FOR SEMILINEAR DIRICHLET FORMS VIA MORSE THEORY

Optimal partial regularity of second-order parabolic systems under natural growth condition

Time periodic solutions of the compressible magnetohydrodynamic equations

Global existence and asymptotic behavior of smooth solutions to a coupled hyperbolic-parabolic system

Zero Dissipation Limit with Two Interacting Shocks of the 1D Non-Isentropic Navier-Stokes Equations

Regularity Result for Quasilinear Elliptic Systems with Super Quadratic Natural Growth Condition

Zero dissipation limit to a Riemann solution consisting of two shock waves for the 1D compressible isentropic Navier-Stokes equations

OPTIMAL PARTIAL REGULARITY RESULTS FOR NONLINEAR ELLIPTIC SYSTEMS IN CARNOT GROUPS

Blow-up of solutions for a time-space fractional evolution system

The initial value problem for the equation of motion of irrotational inviscid and heat conductive fluids

LARGE TIME BEHAVIOR OF SOLUTIONS TO THE ISENTROPIC COMPRESSIBLE FLUID MODELS OF KORTEWEG TYPE IN R-3

EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTIONS FOR A SEMI-LINEAR HEAT EQUATION WITH FRACTIONAL LAPLACIAN

DECAY ESTIMATES FOR ISENTROPIC COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS IN BOUNDED DOMAIN

Global existence and optimal decay rate for the strong solutions in H-2 to the 3-D compressible Navier-Stokes equations without heat conductivity

LARGE TIME BEHAVIOR OF SOLUTIONS TO THE NON-ISENTROPIC COMPRESSIBLE NAVIER-STOKES-POISSON SYSTEM IN R-3

Global existence and optimal L-2 decay rate for the strong solutions to the compressible fluid models of Korteweg type

On superlinear p(x) -Laplacian problems without Ambrosetti and Rabinowitz condition

Existence and multiplicity of solutions for a class of quasilinear elliptic equations: An Orlicz-Sobolev space setting

Blow-up of Viscous Compressible Reactive Self-gravitating Gas

Global existence for the non-isentropic compressible Navier-Stokes-Poisson system in three and higher dimensions

Optimal partial regularity for nonlinear sub-elliptic systems

Blow-up of smooth solutions to the compressible fluid models of Korteweg type

Large time behavior of solutions for compressible Euler equations with damping in R-3

A global existence result for the compressible Navier-Stokes-Poisson equations in three and higher dimensions

Boundary regularity result for quasilinear elliptic systems

Boundary regularity for elliptic systems with supquadratic growth condition

Asymptotic behaviour of solutions to the Navier-Stokes equations of a two-dimensional compressible flow

Global existence and optimal decay rate for the strong solutions in H-2 to the compressible Navier-Stokes equations

ON THE HEAT FLOW EQUATION OF SURFACES OF CONSTANT MEAN CURVATURE IN HIGHER DIMENSIONS

Global existence of weak solutions for the Navier-Stokes equations with capillarity on the half-line

Optimal decay rates for the compressible fluid models of Korteweg type

A note on global existence of weak solutions to the compressible magnetohydrodynamic equations with Coulomb force

CLASSIFICATION OF SOLUTIONS FOR A CLASS OF SINGULAR INTEGRAL SYSTEM

Global existence of the finite energy weak solutions to a nematic liquid crystals model

Zero relaxation limit to centered rarefaction waves for Jin-Xin relaxation system

Strong solutions to the incompressible magnetohydrodynamic equations

On the heat flow of equation of surfaces of constant mean curvatures

Global existence and asymptotic analysis of weak solutions to the equations of Ferrohydrodynamics

OPTIMAL INTERIOR PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS WITH DINI CONTINUOUS COEFFICIENTS

Shape optimization in two-dimensional viscous compressible fluids

STRONG SOLUTIONS OF THE COUPLED NAVIER-STOKES-POISSON EQUATIONS FOR ISENTROPIC COMPRESSIBLE FLUIDS

OPTIMAL INTERIOR PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS

Global existence and convergence rates of smooth solutions for the compressible magnetohydrodynamic equations

STRONG SOLUTIONS FOR THE INCOMPRESSIBLE FLUID MODELS OF KORTEWEG TYPE

Global analysis for strong solutions to the equations of a ferrofluid flow model

On radially symmetric solutions of the compressible isentropic self-gravitating fluid

BLOW-UP OF SMOOTH SOLUTIONS TO THE NAVIER-STOKES EQUATIONS OF COMPRESSIBLE VISCOUS HEAT-CONDUCTING FLUIDS

Existence and asymptotic behavior of global smooth solution for p-System with damping and boundary effect

Optimal Interior Partial Regularity for Nonlinear Elliptic Systems for the Case 1 < m < 2 under Natural Growth Condition

Global existence and large-time behavior of weak solutions to the compressible magnetohydrodynamic equations with Coulomb force

On the domain dependence of solutions to the Navier-Stokes equations of a two-dimensional compressible flow

Global weak solution to the flow of liquid crystals system

Local existence of the strong solutions for the full Navier-Stokes-Poisson equations

Global existence of the radially symmetric strong solution to Navier-Stokes-Poisson equations for isentropic compressible fluids

Asymptotic compactness of global trajectories generated by the Navier-Stokes-Poisson equations of a compressible fluid

Complete bounded trajectories and attractors for compressible barotropic self-gravitating fluid

The Method of A-Harmonic Approximation and Boundary Regularity for Nonlinear Elliptic Systems under the Natural Growth Condition

PARTIAL REGULARITY FOR WEAK SOLUTIONS OF STATIONARY NAVIER-STOKES SYSTEMS

Propagation of density-oscillations in solutions to the compressible Navier-Stokes-Poissonsystem

Global existence of strong solutions of Navier-Stokes-Poisson equations for one-dimensional isentropic compressible fluids

The method of A-harmonic approximation and optimal interior partial regularity for nonlinear elliptic systems under the controllable growth condition

Energy identity of the heat flow of H-systems at finite singular time

Optimal interior partial regularity for nonlinear elliptic systems under the natural growth condition: The method of A-harmonic approximation

On the existence of solutions to the Navier-Stokes-Poisson equations of a two-dimensional compressible flow

The method of p-harmonic approximation and optimal interior partial regularity for energy minimizing p-harmonic maps under the controllable growth condition

The existence and asymptotic behavior of the evolution P-laplacian equations with strongly nonlinear sources

Non-Newton filtration equation with nonconstant medium void and critical Sobolev exponent

Non-Newton filtration equation with special medium void

The concentration-compactness principle and the asymptotic behavior for some degenerate parabolic equation

The reaction-diffusion equation with Lewis function and critical Sobolev exponent

The existence of multiple solutions of p-Laplacian elliptic equation

Concentration phenomena in the semilinear parabolic equation

Global solution and blowup of semilinear heat equation with critical Sobolev exponent

Global and blowup solutions of quasilinear parabolic equation with critical Sobolev exponent and lower energy initial value

C-1,C-alpha-partial regularity for nonlinear elliptic systems