Keywords: 35A01; 35D30; 35Q35; 35Q40; 76N10; Global weak solutions; Compressible quantum Navier-Stokes equations; Vacuum; Degenerate viscosity;
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Keywords: Shallow water equations; Riemann problem; Shock wave; Source term; Topography; Ripa system; 35L65; 76N10; 76L05;
Keywords: 76N10; 74H40; Compressible Oldroyd-B model; Global well-posedness; Decay rates;
Keywords: 35Q35; 35B65; 76N10; Compressible nematic liquid crystal flows; Blowup criterion; Spherically symmetric flows;
Keywords: 35J47; 35J57; 35J66; 35M10; 76N10; Steady Euler-Poisson system; Axisymmetric; Swirl; Subsonic; Helmholtz decomposition; Elliptic system; Singular elliptic equation; Transport equation;
Keywords: 35B40; 35Q35; 35Q92; 76N10; 92C17; Chemotaxis; Shallow water system; Global existence; Decay rates;
Keywords: 35B35; 35B40; 76N10; 335R35; Non-isentropic flow; Navier-Stokes-Poisson equations; Physical vacuum; Nonlinear asymptotic stability;
Keywords: 35Q35; 35Q80; 76N10; Global well-posedness; Partial viscosity; Three-dimensional thin periodic domain;
Keywords: Steady flow; homentropic; irrotation; subsonic flow; subsonic-sonic limit; 35Q31; 35L65; 76N10; 76G25; 35D30;
Keywords: 35Q30; 76N10;
Keywords: Gevrey class regularity; incompressible Euler equation; weighted Sobolev space; 35M33; 35Q31; 76N10;
Keywords: 35L65; 35Q30; 76N10; Compressible Navier-Stokes equations; Density dependent viscosity; Temperature dependent heat conductivity; Stress-free; Thermally insulated;
Keywords: 35Q31; 35J25; 76G25; 76N10; Subsonic flows; Steady Euler equations; Existence; Uniqueness; Free interface;
Keywords: 76N10; 35Q30; Steady compressible Navier-Stokes-Fourier system; Multicomponent diffusion flux; Entropy inequality;
Keywords: 35Q35; 35B40; 76N10; Compressible Navier-Stokes equations; Temperature dependent viscosity coefficients; Global symmetric solutions; Nishida-Smoller type result; Exponential stability;
Keywords: 35B35; 35B20; 35B40; 35B65; 35R35; 35M12; 35M10; 35J66; 76L05; 76N10; Stability; Multidimensional; M-D; Transonic shocks; Steady; Supersonic; Wedge; Nonlinear approach; Iteration scheme; A priori estimates; Boundary value problems; Weighted norms; Instabi
Keywords: 35Q35; 35B65; 76N10; Compressible Navier-Stokes equations; Low Mach limit; Nonlinear diffusion wave; Well-prepared data; Ill-prepared data;
Keywords: 76N10; 35Q30; 35Q35; Non-isothermal model; Compressible nematic liquid crystals; Global existence; Smooth solutions; Decay rates;
Keywords: 35A01; 35Q30; 76N10; Compressible Navier-Stokes equations; Global existence; Large time behavior; Stability; Discontinuous;
Keywords: 35L65; 35Q31; 35R09; 76N10; Weakly nonlinear gas dynamics; Entropy solution; Periodic initial datum; Global existence;
Keywords: 35Q30; 35B99; 35D10; 76N10; Compressible; Regularity; Weak solution;
Keywords: Large time behavior; profile system; energy method; partial space-periodic domain; Fourier series35Q30; 76N10
Keywords: 76Txx; 35Q35; 35Q61; 76N10; 65N12; 65M60; Ferrofluids; Incompressible flows; Microstructure; Magnetization; Two-phase flow;
Keywords: 35Q30; 76N10; 82D60Kinetic polymer models; FENE chain; Compressible Navier–Stokes–Fokker–Planck system; Variable density; Nonhomogeneous dilute polymer
Keywords: primary; 35B35; secondary; 35B40; 35Q35; 76N10; Compressible Navier-Stokes equations; Rarefaction wave; Stationary solution; Stability; Large initial perturbation;
Keywords: 35Q35; 35A09; 35B30; 76N10; 76X05; Euler-Poission; Physical vacuum; Well-posedness; Two and three dimensions;
Keywords: 35Q30; 76D05; 76N10; 35B35; 76D03Incompressible heat-conducting fluid; Rayleigh–Benard equations; Stability of two-dimensional solution; Global strong solutions
Keywords: 35R35; 35Q35; 76N10; 35J70Continuous subsonic–sonic flow; Free boundary; Degeneracy; Singularity
Keywords: 76N10; 35Q30; 35R35; Free boundary problem; Nematic liquid crystals; Compressible hydrodynamic flow; Weak solutions; Smooth solutions;
Keywords: 35Q30; 76N10; 35D30; 35B40Zero Mach number; Augmented system; Navier–Stokes; Global weak solutions; Ghost effect; Mixture; Two-velocity hydrodynamics
Keywords: 35L60; 76N10; 83C05Compressible fluid; Schwarzschild metric; Shock wave; Hyperbolic; Conservation law; Random choice method
A numerical scheme for approximating interior jump discontinuity solution of a compressible Stokes system
Keywords: 35Q30; 76N10; 76F50; Stationary compressible flows; Interior discontinuity; Regularity;
Vertex circulation and regularity of compressible Stokes flows: Numerical simulations
Keywords: 35Q30; 76N10; 76F50; Compressible viscous flows; Vertex circulation; Singularity; Regularity;
Exact solutions for the Cauchy problem to the 3D spherically symmetric incompressible Navier-Stokes equations
Keywords: Navier-Stokes equations; asymptotic behavior; Riccati equation; 35Q30; 35Q35; 35D35; 76N10; 76N15;
Blowup for regular solutions and C1 solutions of Euler equations in RN with a free boundary
Keywords: 35Q31; 35B44; 35B40; 76N10; Compressible Euler equations; Initial value problems; Blowup; Free boundary problems; Regular solutions; Vacuum; Classical solutions;
Decay rates of solutions to a P1-approximation model arising from radiation hydrodynamics
Keywords: 76N15; 76N10; 74H40; Radiation hydrodynamics; P1-approximation; Global existence; Decay rates;
Weighted Lq-estimates for stationary Stokes system with partially BMO coefficients
Keywords: 35R05; 76N10; 76D07; Stokes system; Reifenberg flat domains; Measurable coefficients; Small mean oscillations; Muckenhoupt weights;
A parallel implementation of an implicit discontinuous Galerkin finite element scheme for fluid flow problems
Keywords: Discontinuous Galerkin finite element method; Implicit scheme; Compressible Navier-Stokes equations; Parallel computing; Overlapping Schwarz method; Shock capturing; Java RMI; 76N10; 65N30; 65Y05; 35Q35;
Well-posedness for the Navier-Stokes equations with data in homogeneous Sobolev-Lorentz spaces
Keywords: primary; 35Q30; secondary; 76D05; 76N10; Navier-Stokes equations; Existence and uniqueness of local and global mild solutions; Homogeneous Sobolev-Lorentz spaces;
Global strong solution for 3D viscous incompressible heat conducting Navier-Stokes flows with non-negative density
Keywords: 35Q35; 35B65; 76N10; Incompressible heat conducting flows; Global strong solution; Vacuum;
Emergent dynamics of Cucker-Smale flocking particles in a random environment
Keywords: 74A25; 76N10; 92D25; Cucker-Smale-Fokker-Planck equation; Degenerate diffusion; Flocking; Mean-field limit;
Global smooth solutions in R3 to short wave-long wave interactions in magnetohydrodynamics
Keywords: 35Q35; 76A02; 76N10; Compressible MHD system; Nonlinear Schrödinger equations; Time decay rate;
Global well-posedness of classical solutions to a fluid-particle interaction model in R3
Keywords: 35Q30; 76N10; 46E35; Compressible fluid-particle interaction model; Global classical solution; Large-time behavior; Decay rates;
Blowup criterion for the compressible fluid-particle interaction model in 3d with vacuum
Keywords: Blowup criterion; compressible fluid-particle interaction model; vacuum35Q30; 76N10; 46E35
Large time behavior for the system of a viscous liquid–gas two-phase flow model in R3R3
Keywords: 76T10; 76N10; 35L65Liquid–gas two-phase flow; Global existence; Large time behavior
Jump dynamics due to jump datum of compressible viscous Navier–Stokes flows in a bounded plane domain
Keywords: 35Q30; 76N10; 76F50Compressible viscous flows; Jump discontinuity; Piecewise regularity
Existence of spherically symmetric solutions for a reduced gravity two-and-a-half layer system
Keywords: 76T99; 76N10; Two-and-a-half layer system; Weak solution; Global existence; Vacuum;
On hyperbolic-dissipative systems of composite type
Keywords: 35M20; 35Q30; 76N10; 76N15Navier–Stokes equations; Euler equations; Hyperbolic; Dissipative; Global stability
On the behavior of boundary layers of one-dimensional isentropic planar MHD equations with vanishing shear viscosity limit
Keywords: 35M10; 35Q60; 76N10; 76N17; 76N20Compressible MHD; Vanishing shear viscosity limit; Boundary layer
Global existence of classical solutions for isentropic compressible Navier-Stokes equations with small initial density
Keywords: 76N10; 35M10; Compressible N-S equations; Small initial density; Global classical solutions;