Regularity of weak solutions of the compressible isentropic navier-stokes equations
From MaRDI portal
Publication:4346999
DOI10.1080/03605309708821291zbMath0885.35089OpenAlexW1993932482MaRDI QIDQ4346999
Publication date: 1997
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605309708821291
Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items
Classical solution to 1D viscous polytropic perfect fluids with constant diffusion coefficients and vacuum, The Cauchy problem for the pressureless Euler/isentropic Navier-Stokes equations, Classical large solution for the viscous compressible fluids with initial vacuum in 1D, Local weak solution of the isentropic compressible Navier-Stokes equations in a half-space, Uniqueness of rarefaction waves in multidimensional compressible Euler system, Global well-posedness to the Cauchy problem of two-dimensional nonhomogeneous heat conducting Navier-Stokes equations, Existence results for viscous polytropic fluids with vacuum, Regularity of weak solutions of compressible isentropic self-gravitating fluid, The evolution compressible Navier-Stokes system on polygonal domains, Weak-strong uniqueness for the isentropic compressible Navier-Stokes system, Global well-posedness to the 2D Cauchy problem of nonhomogeneous heat conducting magnetohydrodynamic equations with large initial data and vacuum, Dissipative solutions and the incompressible inviscid limits of the compressible magnetohydrodynamic system in unbounded domains, Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier-Stokes system, Mathematical justification of a compressible bifluid system with different pressure laws: a continuous approach, A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations, Compressible Navier‐Stokes equations with ripped density, Blowup criterion for viscous baratropic flows with vacuum states, Global Stability and Nonvanishing Vacuum States of 3D Compressible Navier–Stokes Equations, Global Solutions to the Three-Dimensional Full Compressible Navier--Stokes Equations with Vacuum at Infinity in Some Classes of Large Data, Well-posedness for a class of compressible non-Newtonian fluids equations, Self-Similar Solutions of Leray’s Type for Compressible Navier-Stokes Equations in Two Dimension, Blowup criterion for viscous, compressible micropolar fluids with vacuum, Mathematical justification of a compressible bi-fluid system with different pressure laws: a semi-discrete approach and numerical illustrations, Global well-posedness of classical solutions to the compressible Navier-Stokes equations in a half-space, Extension of the Hoff solutions framework to cover Navier-Stokes equations for a compressible fluid with anisotropic viscous-stress tensor, Analysis of compressible bubbly flows. Part II: Derivation of a macroscopic model, Global strong solution to the three-dimensional density-dependent incompressible magnetohydrodynamic flows, Global well-posedness to the 3D Cauchy problem of compressible non-isothermal nematic liquid crystal flows with vacuum, Global solution to the incompressible flow of liquid crystals, Weak solutions of the compressible isentropic Navier-Stokes equations, Unique solvability of the initial boundary value problems for compressible viscous fluids., Asymptotic flocking dynamics of Cucker-Smale particles immersed in compressible fluids, Notes on Liouville type theorems for the stationary compressible Navier-Stokes equations, Global classical solutions to 1D full compressible Navier-Stokes equations with the Robin boundary condition on temperature, Global existence and uniqueness of strong solutions for the magnetohydrodynamic equations, Mathematical theory of compressible, viscous, and heat conducting fluids, Global existence of strong solutions of the Navier-Stokes equations for isentropic compressible fluids with density-dependent viscosity, Global strong solutions of Navier-Stokes equations for heat-conducting compressible fluids with vacuum at infinity, Existence of solutions for compressible fluid models of Korteweg type, Global existence of classical solutions to two‐dimensional Navier–Stokes equations with Cauchy data containing vacuum, Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum, A blow-up criterion of strong solutions to the 2D compressible Navier-Stokes equations, On scaling invariance and type-I singularities for the compressible Navier-Stokes equations, A blow-up criterion for classical solutions to the compressible Navier-Stokes equations, Global solution to the three-dimensional incompressible flow of liquid crystals, On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities, A multi-fluid compressible system as the limit of weak solutions of the isentropic compressible Navier-Stokes equations, A Beale-Kato-Majda criterion for three-dimensional compressible viscous heat-conductive flows, Weak-strong uniqueness property for the full Navier-Stokes-Fourier system, Global well-posedness to three-dimensional full compressible magnetohydrodynamic equations with vacuum, Blow up criteria for the compressible Navier–Stokes equations, Existence and uniqueness of weak solutions of the compressible spherically symmetric Navier-Stokes equations, On the blow up criterion for the 2-D compressible Navier-Stokes equations, On the equations of thermally radiative magnetohydrodynamics, Strong solutions of the Navier-Stokes equations for isentropic compressible fluids, Global well-posedness and exponential decay of 2D nonhomogeneous Navier-Stokes and magnetohydrodynamic equations with density-dependent viscosity and vacuum, Hausdorff dimension of concentration for isentropic compressible Navier-Stokes equations, Two-dimensional Euler equations in a time dependent domain, Global strong solution to the density-dependent incompressible flow of liquid crystals, Global solutions to the cauchy problem of the stokes approximation equations for two-dimensional compressible flows, Note on the derivation of multi-component flow systems, Local weak solution of the isentropic compressible Navier–Stokes equations
Cites Work
- Unnamed Item
- Unnamed Item
- Ordinary differential equations, transport theory and Sobolev spaces
- Navier-Stokes equations for compressible fluids: Global existence and qualitative properties of the solutions in the general case
- Solvability of the initial-boundary-value problem for the equations of motion of a viscous compressible fluid
- Global well-posedness of the Cauchy problem for the Navier-Stokes equations of nonisentropic flow with discontinuous initial data
- Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
- Construction of solutions for compressible, isentropic Navier-Stokes equations in one space dimension with nonsmooth initial data
- A few remarks on ordinary differential equations
