Local well-posedness and blow up criterion for the Inviscid Boussinesq system in H\"{o}lder spaces
From MaRDI portal
Publication:4928009
DOI10.4208/jpde.v25.n3.3zbMath1274.35280arXiv1009.4098MaRDI QIDQ4928009
Xiaona Cui, Quan-sen Jiu, Changsheng Dou
Publication date: 20 June 2013
Full work available at URL: https://arxiv.org/abs/1009.4098
PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)
Related Items (21)
On the global regularity of the 2D Boussinesq equations with fractional dissipation ⋮ Global existence and uniqueness of solutions to the three-dimensional Boussinesq equations ⋮ Blow-up criterion for the density dependent inviscid Boussinesq equations ⋮ Well-posedness for density-dependent Boussinesq equations without dissipation terms in Besov spaces ⋮ Persistence of global well-posedness for the two dimensional Boussinesq system with non-homogeneous boundary ⋮ On the well-posedness of the inviscid Boussinesq equations in the Besov-Morrey spaces ⋮ Global regularity results for the 2D Boussinesq equations with partial dissipation ⋮ Regularity criterion for the 2D inviscid Boussinesq equations ⋮ Global existence for the 2D anisotropic Bénard equations with partial variable viscosity ⋮ On the well-posedness of the Boussinesq equation in the Triebel-Lizorkin-Lorentz spaces ⋮ Small global solutions to the damped two-dimensional Boussinesq equations ⋮ Remarks on the improved regularity criterion for the 2D Euler-Boussinesq equations with supercritical dissipation ⋮ The regularity criterion for weak solutions to the \(n\)-dimensional Boussinesq system ⋮ A global regularity result for the 2D Boussinesq equations with critical dissipation ⋮ Eventual regularity of the two-dimensional Boussinesq equations with supercritical dissipation ⋮ Long-time solvability in Besov spaces for the inviscid 3D-Boussinesq-Coriolis equations ⋮ Blow-up criterion of smooth solutions for the Boussinesq equations ⋮ Global well-posedness for a class of 2D Boussinesq systems with fractional dissipation ⋮ A note on global regularity results for 2D Boussinesq equations with fractional dissipation ⋮ Global regularity results for the 2D magnetic Bénard problem with fractional dissipation ⋮ The lifespan of solutions to the inviscid 3D Boussinesq system
This page was built for publication: Local well-posedness and blow up criterion for the Inviscid Boussinesq system in H\"{o}lder spaces
