Conservation of Geometric Structures for Non-Homogeneous Inviscid Incompressible Fluids

DOI10.1080/03605302.2012.698343zbMath1256.35070arXiv1305.1128OpenAlexW2022159300MaRDI QIDQ5200547

Francesco Fanelli

Publication date: 6 November 2012

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.1128

zbMATH Keywords

variable densitylifespanincompressible Euler systemstriated and conormal regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Related Items (10)

On the striated regularity for the 2D anisotropic Boussinesq system ⋮ Unnamed Item ⋮ The vortex patch issue for the generalized Boussinesq system ⋮ On the Yudovich's type solutions for the 2D Boussinesq system with thermal diffusivity ⋮ A blow-up criterion for the inhomogeneous incompressible Euler equations ⋮ Propagation of regularity of level sets for a class of active transport equations ⋮ Energy conservation in 2-D density-dependent Euler equations with regularity assumptions on the vorticity ⋮ A well-posedness result for viscous compressible fluids with only bounded density ⋮ The regular vortex patch problem for stratified Euler equations with critical fractional dissipation ⋮ Rigidity aspects of singular patches in stratified flows

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