Global solutions of the compressible Euler equations with large initial data of spherical symmetry and positive far-field density
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Publication:2113551
DOI10.1007/s00205-021-01742-4OpenAlexW3031622865MaRDI QIDQ2113551
Publication date: 14 March 2022
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.13725
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Blow-up in context of PDEs (35B44) Symmetries, invariants, etc. in context of PDEs (35B06) Euler equations (35Q31)
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Cites Work
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- Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for the isentropic system of gas dynamics
- Some diffusive capillary models of Korteweg type
- Convergence of the viscosity method for isentropic gas dynamics
- Blow-up phenomena of solutions to the Euler equations for compressible fluid flow
- On compressible Navier-Stokes equations with density dependent viscosities in bounded domains
- On the existence of global weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluids
- Finite energy solutions to the isentropic Euler equations with geometric effects
- Convergence of approximate solutions to conservation laws
- La compacité par compensation pour les systèmes hyperboliques nonlinéaires de deux équations à une dimension d'espace. (Compensated compactness for 2\(\times 2\) hyperbolic systems of conservation laws)
- Global solutions of the equations of one-dimensional, compressible flow with large data and forces, and with differing end states
- Initial boundary value problem for the spherically symmetric motion of isentropic gas
- Kinetic formulation of the isentropic gas dynamics and \(p\)-systems
- On viscous shallow water equations (Saint-Venant model) and the quasi-geostrophic limit
- Vacuum states for compressible flow
- Kinetic formulation for systems of two conservation laws and elastodynamics
- Vanishing viscosity approach to the compressible Euler equations for transonic nozzle and spherically symmetric flows
- Global existence of weak solutions for compressible Navier-Stokes equations: thermodynamically unstable pressure and anisotropic viscous stress tensor
- A functional integral approach to shock wave solutions of Euler equations with spherical symmetry
- A functional integral approach to shock wave solutions of the Euler equations with spherical symmetry. II
- Shallow water equations: viscous solutions and inviscid limit
- Vanishing viscosity solutions of the compressible Euler equations with spherical symmetry and large initial data
- Vanishing viscosity solutions of nonlinear hyperbolic systems
- On a lemma of DiPerna and Chen
- Existence of global weak solutions for 3D degenerate compressible Navier-Stokes equations
- The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures
- On the Barotropic Compressible Navier–Stokes Equations
- Spherically Symmetric Isentropic Compressible Flows with Density-Dependent Viscosity Coefficients
- An alternative proof of Di Perna's theorem
- Zero dissipation limit to rarefaction waves for the one‐dimensional navier‐stokes equations of compressible isentropic gases
- Remarks on spherically symmetric solutions of the compressible Euler equations
- Remarks on DiPerna’s paper “Convergence of the viscosity method for isentropic gas dynamics”
- On the convergence rate of vanishing viscosity approximations
- Convergence of Viscosity Solutions for Isothermal Gas Dynamics
- On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems
- On the Convergence Rate of Vanishing Viscosity Approximations for Nonlinear Hyperbolic Systems
- Vanishing viscosity limit of the Navier-Stokes equations to the euler equations for compressible fluid flow
- Spherically symmetric solutions of the multidimensional, compressible, isentropic Euler equations
- Isothermal Navier--Stokes Equations and Radon Transform
- Navier–Stokes regularization of multidimensional Euler shocks
- Resolution of the spherical piston problem for compressible isentropic gas dynamics via a self-similar viscous limit
- The Existence and Limit Behavior of the One-Dimensional Shock Layer
- Hyperbolic Conservation Laws in Continuum Physics
- On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations
- On the existence of globally defined weak solutions to the Navier-Stokes equations
