INTRODUCTION TO THE MATHEMATICAL THEORY OF COMPRESSIBLE FLOW (original) (raw)

A Survey of the Compressible Navier-Stokes Equations

Chi-Kun Lin

Taiwanese Journal of Mathematics

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Vanishing viscosity limit of the Navier-Stokes equations to the euler equations for compressible fluid flow

Gui-Qiang G. Chen

Communications on Pure and Applied Mathematics, 2010

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The Cauchy Problem for the Euler Equations for Compressible Fluids

Gui-Qiang G. Chen

Handbook of Mathematical Fluid Dynamics, 2002

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AnL p -theory for then-dimensional, stationary, compressible Navier-Stokes equations, and the incompressible limit for compressible fluids. The equilibrium solutions

Hugo Da Veiga

Communications in Mathematical Physics, 1987

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Compressible Euler Equations¶with General Pressure Law

Gui-Qiang G. Chen

Archive for Rational Mechanics and Analysis, 2000

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Geometric Hydrodynamics of Compressible Fluids

Boris Khesin

arXiv: Symplectic Geometry, 2020

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Quelques problèmes mathématiques en thermodynamique des fluides visqueux et compressibles

Jan Březina

2008

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An Introduction to Compressible Flows with Applications

Norberto Mangiavacchi

SpringerBriefs in Mathematics, 2019

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Numerical investigations of the compressible Navier-Stokes system

ATSOU kevin, Jean-Jérôme Casanova

2021

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On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance

Yoshihiro Shibata

Journal of the Mathematical Society of Japan, 2003

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Mathematical properties of the Navier–Stokes dynamical system for incompressible Newtonian fluids

Alessandro Soranzo, Gino Tironi

Physica A: Statistical Mechanics and its Applications, 2013

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Recent topics on the compressible Euler equation(Mathematical Fluid Mechanics and Modeling)

Tetu Makino

数理解析研究所講究録, 1994

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Relative entropy for compressible Navier-Stokes equations with density dependent viscosities and applications

Jean Paul Vila

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A new representation of rotational flow fields satisfying Euler's equation of an ideal compressible fluid

tsutomu kambe

Fluid Dynamics Research, 2013

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Numerical analysis for compressible viscous isentropic stationary flows

J. Rappaz, Olivier Pironneau

1989

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A general algorithm for compressible and incompressible flow—Part II. tests on the explicit form

Norberto Marcelo Nigro

International Journal for Numerical Methods in Fluids, 1995

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Remarks on the inviscid limit for the compressible flows

Toan Nguyen

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Mathematical analysis of the motion of a rigid body in a compressible Navier–Stokes–Fourier fluid

Marius Tucsnak

Mathematische Nachrichten, 2019

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On the isentropic compressible Navier-Stokes equation

Alexis Vasseur

2005

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Convergence of the solutions of the compressible to the solutions of the incompressible Navier-Stokes equations

Jens Lorenz

Advances in Applied Mathematics, 1991

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The Incompressible Limit of the Non-Isentropic Euler Equations

Guy Metivier

Archive for Rational Mechanics and Analysis, 2001

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Rate-type models of dissipative compressible fluids

Claudio Giorgi

Meccanica

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On the Euler equations for nonhomogeneous fluids (II)

Hugo Da Veiga

Journal of Mathematical Analysis and Applications, 1980

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On the converging flow of generalized newtonian fluids

H. Ghoneim

Journal of Non-Newtonian Fluid Mechanics, 1984

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On the Poincaré problem for a compressible medium

Roger Gans

Journal of Fluid Mechanics, 1974

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On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities

Yonggeun Cho

manuscripta mathematica, 2006

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Formation of Singularities and Existence of Global Continuous Solutions for the Compressible Euler Equations

Gui-Qiang G. Chen

arXiv: Analysis of PDEs, 2019

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Supplement to “Self-similar solutions with elliptic symmetry for the compressible Euler and Navier–Stokes equations in ” [Commun. Nonlinear Sci. Numer. Simul. 17 (2012) 4524–4528]

Manwai Yuen

Communications in Nonlinear Science and Numerical Simulation, 2013

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Remarks on the rate of decay of solutions to linearized compressible Navier-Stokes equations

Yoshihiro Shibata

2015

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On the compressible Taylor–Couette problem

Avshalom Manela

Journal of Fluid Mechanics, 2007

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Blowup of solutions for the compressible Navier–Stokes equations with density-dependent viscosity coefficients

XIAODING SHI

Nonlinear Analysis: Theory, Methods & Applications, 2013

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On the dispersion relation for compressible Navier-Stokes Equations

saad benjelloun

arXiv: Analysis of PDEs, 2020

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