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Indiana University Mathematics Journal, ISSN 0022-2518, 1/2016, Volume 65, Issue 4, pp. 1183 - 1250
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 12/2019, Volume 400, p. 132138
We are concerned with the inviscid limit of the Navier–Stokes equations to the Euler equations for compressible fluids in . Motivated by the Kolmogorov... 
Navier–Stokes equations | Compressible Kolmogorov-type hypotheses | Euler equations | Inviscid limit | Existence | Compressible turbulence
Journal Article
PHYSICA D-NONLINEAR PHENOMENA, ISSN 0167-2789, 12/2019, Volume 400
We are concerned with the inviscid limit of the Navier-Stokes equations to the Euler equations for compressible fluids in R-3. Motivated by the Kolmogorov... 
MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | PHYSICS, FLUIDS & PLASMAS | Inviscid limit | Euler equations | PHYSICS, MATHEMATICAL | FLOW | Compressible Kolmogorov-type hypotheses | ENERGY-DISSIPATION | WEAK SOLUTIONS | EULER | Existence | Navier-Stokes equations | Compressible turbulence
Journal Article
by Xing Ji and Liang Pan and Wei Shyy and Kun Xu
Journal of Computational Physics, ISSN 0021-9991, 11/2018, Volume 372, p. 446
In this paper, a fourth-order compact gas-kinetic scheme (GKS) is developed for the compressible Euler and Navier–Stokes equations under the framework of... 
Reconstruction | Slopes | Computational fluid dynamics | Computer simulation | Fluid flow | Eulers equations | Navier Stokes equations | Time dependence | Gas flow | Gas evolution | Mathematical models | Kinetics | Compressible flow | Riemann solver | Navier-Stokes equations | Distribution functions
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 02/2020, Volume 268, Issue 5, pp. 1974 - 2011
We consider a simplified compressible Navier-Stokes equations with cylindrical symmetry when viscosity coefficient and heat conductivity coefficient depend on... 
Temperature-dependent heat conductivity | Global strong solutions | Temperature-dependent viscosity | Vanishing shear viscosity limit | Compressible Navier-Stokes equations | FLUIDS | EXISTENCE | VACUUM | VANISHING SHEAR VISCOSITY | BOUNDARY-VALUE-PROBLEMS | LAYERS | DENSITY | MATHEMATICS | CLASSICAL-SOLUTIONS | FLOWS | GLOBAL SMOOTH SOLUTIONS
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2020, Volume 482, Issue 1, p. 123506
In this paper, we consider the vacuum free boundary problem of the compressible Navier-Stokes system in two dimension. Under the Lagrangian variables, we... 
Free boundary | Compressible Navier-Stokes | A priori estimates | MATHEMATICS | VACUUM | MATHEMATICS, APPLIED | NONLINEAR ASYMPTOTIC STABILITY | LANE-EMDEN SOLUTIONS | EULER EQUATIONS
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 07/2019, Volume 184, pp. 83 - 94
In this paper, we study the low Mach number limit for the full compressible Navier–Stokes equations with Cattaneo’s heat transfer law. It is rigorously... 
Cattaneo’s heat transfer law | Full compressible Navier–Stokes equations | Low Mach number limit | Compressibility | Fluid dynamics | Mathematical analysis | Fluid flow | Heat transfer | Heat flux | Navier-Stokes equations | Mach number
Journal Article
by Luo, Z and Zhou, Y
Journal of Mathematical Physics, ISSN 0022-2488, 09/2019, Volume 60, Issue 9, p. 91508
In this paper, we consider the three-dimensional Cauchy problem of compressible Navier-Stokes equations with degenerate viscosities depending on density. With... 
VACUUM | CAUCHY-PROBLEM | COMPRESSIBLE FLOWS | PHYSICS, MATHEMATICAL | GLOBAL WELL-POSEDNESS | SHALLOW-WATER EQUATIONS | Compressibility | Fluid dynamics | Mathematical analysis | Fluid flow | Navier Stokes equations | Navier-Stokes equations | Cauchy problem
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 08/2018, Volume 376-377, pp. 180 - 194
In this paper, we prove the global well-posedness of the classical solution to the 2D Cauchy problem of the compressible Navier–Stokes equations with... 
Compressible Navier–Stokes equations | Large data | Vacuum | Global well-posedness | Cauchy problem
Journal Article
by Jiu, QS and Wang, Y and Xin, ZP
PHYSICA D-NONLINEAR PHENOMENA, ISSN 0167-2789, 08/2018, Volume 376, pp. 180 - 194
In this paper, we prove the global well-posedness of the classical solution to the 2D Cauchy problem of the compressible Navier-Stokes equations with... 
EXISTENCE | Large data | MATHEMATICS, APPLIED | INEQUALITIES | PHYSICS, MULTIDISCIPLINARY | Global well-posedness | CAUCHY-PROBLEM | WELL-POSEDNESS | PHYSICS, MATHEMATICAL | DENSITY-DEPENDENT VISCOSITY | Cauchy problem | Vacuum | VACUUM STATES | COEFFICIENTS | BLOW-UP | FLOWS | WEAK SOLUTIONS | Compressible Navier-Stokes equations
Journal Article
NONLINEARITY, ISSN 0951-7715, 11/2019, Volume 32, Issue 11, pp. 4206 - 4231
The energy equalities of compressible Navier-Stokes equations with general pressure law and degenerate viscosities are studied. By using a unified approach, we... 
Onsager's conjecture | inhomogeneous incompressible Navier-Stokes equations | MATHEMATICS, APPLIED | CONSERVATION | compressible Navier-Stokes equations | energy equalities | VISCOSITY | ANOMALOUS DISSIPATION | PHYSICS, MATHEMATICAL | GLOBAL WEAK SOLUTIONS | EULER EQUATIONS | ONSAGERS CONJECTURE
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 01/2017, Volume 328, pp. 301 - 343
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2016, Volume 2016, Issue 1, pp. 1 - 16
This paper is concerned with the regularity of the global solutions in to the compressible isentropic Navier-Stokes equations with the cylinder symmetry in .... 
density-dependent viscosity | cylinder symmetry | regularity | compressible Navier-Stokes equations | EXISTENCE | VACUUM | MATHEMATICS, APPLIED | BOUNDARY-LAYERS | BEHAVIOR | MATHEMATICS | COEFFICIENT | FLOWS | GLOBAL WEAK SOLUTIONS | Compressibility | Mathematical analysis | Inequalities | Texts | Regularity | Cylinders | Navier-Stokes equations | Symmetry
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 12/2019, Volume 267, Issue 12, pp. 7047 - 7063
In this paper, we consider the initial-boundary value problem to the compressible Navier-Stokes equations for ideal gases without heat conduction in the half... 
Finite time blow up | Classical solutions | Compressible Navier-Stokes equations | MATHEMATICS | SMOOTH SOLUTIONS | MOTION | CLASSICAL-SOLUTIONS
Journal Article
Computers and Fluids, ISSN 0045-7930, 07/2017, Volume 152, Issue C, pp. 217 - 230
Journal Article
Communications in Mathematical Sciences, ISSN 1539-6746, 2015, Volume 13, Issue 2, pp. 401 - 425
Journal Article
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, ISSN 0294-1449, 09/2019
Journal Article
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