Viscous vortex patches
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Publication:1385314
DOI10.1016/S0021-7824(97)89964-3zbMath0903.76020MaRDI QIDQ1385314
Publication date: 26 April 1998
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
vanishing viscosityinviscid limittransport-diffusion equationinitial data with stratified vorticityLipschitzian norm of velocitysmooth vortex patchesviscosity-independent estimates
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)
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Cites Work
- Remarques sur l'instabilité du problème des poches de tourbillon. (Remarks on the instability of the vortex patch problem)
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- Well-posedness of the Euler and Navier-Stokes equations in the Lebesgue spaces \(L^ p_ s({\mathbb{R}}^ 2)\)
- Propagation de la régularité locale de solutions d'équations hyperboliques non linéaires. (Propagation of local smoothness for solutions of nonlinear hyperbolic equations)
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
- A remark on the inviscid limit for two-dimensional incompressible fluids
- Inviscid limit for vortex patches
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