Low Mach number limit of the global solution to the compressible Navier-Stokes system for large data in the critical Besov space
DOI10.1007/s00208-023-02621-xarXiv2210.08743OpenAlexW4368366779MaRDI QIDQ6130301
Publication date: 2 April 2024
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.08743
low Mach number limitcompressible Navier-Stokes systemconvergence to the incompressible Navier-Stokes equation
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Singular perturbations in context of PDEs (35B25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- The incompressible limit in \(L^p\) type critical spaces
- A Lagrangian approach for the compressible Navier-Stokes equations
- Optimal time-decay estimates for the compressible Navier-Stokes equations in the critical \(L^{p}\) framework
- Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities
- 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
- Theory of Besov spaces
- Convergence of the solutions of the compressible to the solutions of the incompressible Navier-Stokes equations
- The zero-Mach limit of compressible flows
- Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions
- Global existence in critical spaces for compressible Navier-Stokes equations
- From compressible to incompressible inhomogeneous flows in the case of large data
- Flows of non-Lipschitzian vector fields and Navier-Stokes equations
- Ill-posedness for the compressible Navier-Stokes equations under barotropic condition in limiting Besov spaces
- A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation
- Compressible Navier-Stokes system: large solutions and incompressible limit
- On the uniqueness in critical spaces for compressible Navier-Stokes equations
- Global large solutions and incompressible limit for the compressible Navier-Stokes equations
- 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
- The Low Mach Number Limit for a Barotropic Model of Radiative Flow
- Fourier Analysis and Nonlinear Partial Differential Equations
- Fujita–Kato solution for compressible Navier–Stokes equations with axisymmetric initial data and zero Mach number limit
- Low Mach number limit of viscous compressible flows in the whole space
- All-Time Existence of Classical Solutions for Slightly Compressible Flows
- Zero Mach number limit in critical spaces for compressible Navier–Stokes equations
- Zero Mach number limit for compressible flows with periodic boundary conditions
- Sur une inégalité de type Poincaré
- Low Mach number limit for viscous compressible flows
- Singular limits in thermodynamics of viscous fluids