Global Sobolev persistence for the fractional Boussinesq equations with zero diffusivity

zbMath1460.35290arXiv1910.11307MaRDI QIDQ5855971

Weinan Wang, Igor Kukavica

Publication date: 23 March 2021

Full work available at URL: https://arxiv.org/abs/1910.11307

zbMATH Keywords

global existenceBoussinesq systemfractional dissipationKato-Ponce inequalitySobolev persistence

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)

Related Items (7)

Asymptotic properties of the Boussinesq equations with Dirichlet boundary conditions ⋮ Temperature patches for a generalised 2D Boussinesq system with singular velocity ⋮ Long time behavior of solutions to the 2D Boussinesq equations with zero diffusivity ⋮ On the global stability of large solutions for the Boussinesq equations with Navier boundary conditions ⋮ Global well-posedness of the \(n\)-dimensional hyper-dissipative Boussinesq system without thermal diffusivity ⋮ Norm inflation for the Boussinesq system ⋮ On the global regularity for a 3D Boussinesq model without thermal diffusion

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