Global large solutions and incompressible limit for the compressible Navier-Stokes equations

DOI10.1007/s00021-019-0428-3zbMath1416.35181arXiv1806.03640OpenAlexW3098783701WikidataQ128097098 ScholiaQ128097098MaRDI QIDQ2633293

Xiaoping Zhai, Zhi Min Chen

Publication date: 8 May 2019

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.03640

zbMATH Keywords

Besov spacescompressible Navier-Stokes equationsglobal well-posednessincompressible limit

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (10)

Global well-posedness for the full compressible Navier-Stokes equations ⋮ Incompressible limit of a fluid-particle interaction model. ⋮ The Cauchy Problem for the \(\boldsymbol{N}\)-Dimensional Compressible Navier–Stokes Equations without Heat Conductivity ⋮ Large global solutions of the compressible Navier-Stokes equations in three dimensions ⋮ Global solutions to the 2D compressible Navier-Stokes equations with some large initial data ⋮ Low Mach number limit of the global solution to the compressible Navier-Stokes system for large data in the critical Besov space ⋮ Global large solutions and optimal time-decay estimates to the Korteweg system ⋮ Global large solutions to the two-dimensional compressible Navier-Stokes equations ⋮ Global wellposedness and large time behavior of solutions to the \(N\)-dimensional compressible Oldroyd-B model ⋮ Global large solutions and incompressible limit for the compressible Navier-Stokes system with capillarity

Cites Work

• Unnamed Item
• The incompressible limit in \(L^p\) type critical spaces
• Global solutions to 2-D inhomogeneous Navier-Stokes system with general velocity
• A Lagrangian approach for the compressible Navier-Stokes equations
• Dissipative measure-valued solutions to the compressible Navier-Stokes system
• Optimal time-decay estimates for the compressible Navier-Stokes equations in the critical \(L^{p}\) framework
• Global regularity for some classes of large solutions to the Navier-Stokes equations
• Decay estimates for isentropic compressible Navier-Stokes equations in bounded domain
• Existence of global strong solutions in critical spaces for barotropic viscous fluids
• A global existence result for the compressible Navier--Stokes equations in the critical \(L ^{p }\) framework
• Compressible flow in a half-space with Navier boundary conditions
• Incompressible limit for a viscous compressible fluid
• The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids
• Global stability of large solutions to the 3D Navier-Stokes equations
• Global existence in critical spaces for compressible Navier-Stokes equations
• From compressible to incompressible inhomogeneous flows in the case of large data
• Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
• Global stability of large solutions to the 3D compressible Navier-Stokes equations
• Global solution to the incompressible inhomogeneous Navier-Stokes equations with some large initial data
• On the Navier-Stokes initial value problem. I
• Compressible Navier-Stokes system: large solutions and incompressible limit
• On the ill-posedness of the compressible Navier-Stokes equations in the critical Besov spaces
• LOCAL THEORY IN CRITICAL SPACES FOR COMPRESSIBLE VISCOUS AND HEAT-CONDUCTIVE GASES
• Fourier Analysis and Nonlinear Partial Differential Equations
• Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
• Hypocoercivity
• Low Mach number limit of viscous compressible flows in the whole space
• Global Solutions to the Isentropic Compressible Navier--Stokes Equations with a Class of Large Initial Data
• Vanishing viscosity limit of the Navier-Stokes equations to the euler equations for compressible fluid flow
• Global Large Solutions to the Three Dimensional Compressible Navier--Stokes Equations
• Well-Posedness in Critical Spaces for Barotropic Viscous Fluids with Truly Not Constant Density
• Uniqueness of Weak Solutions of the Navier--Stokes Equations of Multidimensional, Compressible Flow
• Le problème de Cauchy pour les équations différentielles d'un fluide général
• On the existence of globally defined weak solutions to the Navier-Stokes equations

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