LOCAL THEORY IN CRITICAL SPACES FOR COMPRESSIBLE VISCOUS AND HEAT-CONDUCTIVE GASES
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Publication:2769486
DOI10.1081/PDE-100106132zbMath1007.35071OpenAlexW1969615700MaRDI QIDQ2769486
Publication date: 5 February 2002
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1081/pde-100106132
uniquenessa priori estimateslocal existenceBesov spacesharmonic analysislocal well-posednesscritical spacesBernstein inequalitiesdiscontinuous initial datahomogeneous Littlewood-Paley decompositionNewtonian viscous heat-conductive gas
Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
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Cites Work
- Unnamed Item
- Unnamed Item
- The initial value problem for the equations of motion of viscous and heat-conductive gases
- On the initial value problem of the motion of compressible viscous fluid, especially on the problem of uniqueness
- Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in \(\mathbb{R}^3\)
- Uniqueness theorems for the three dimensional Navier-Stokes system
- Discontinuous solutions of the Navier-Stokes equations for multidimensional flows of heat-conducting fluids
- Viscous vortex patches
- Global existence in critical spaces for compressible Navier-Stokes equations
- Flows of non-Lipschitzian vector fields and Navier-Stokes equations
- On the Navier-Stokes initial value problem. I
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
- Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
- Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
- Equations d'ondes quasilineaires et estimations de Strichartz
- Le problème de Cauchy pour les équations différentielles d'un fluide général
