The vortex patch issue for the generalized Boussinesq system
From MaRDI portal
Publication:6123291
DOI10.4064/ap230729-22-1OpenAlexW4391813005MaRDI QIDQ6123291
Unnamed Author, Oussama Melkemi
Publication date: 4 March 2024
Published in: Annales Polonici Mathematici (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/ap230729-22-1
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Critical exponents in context of PDEs (35B33) Magnetohydrodynamics and electrohydrodynamics (76W05) Axially symmetric solutions to PDEs (35B07)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Vortex patch problem for stratified Euler equations
- The regular vortex patch problem for stratified Euler equations with critical fractional dissipation
- On the global well-posedness of the two-dimensional Boussinesq system with a zero diffusivity
- On the global well-posedness of the Euler-Boussinesq system with fractional dissipation
- Global well-posedness issues for the inviscid Boussinesq system with Yudovich's type data
- Viscous vortex patches
- Global regularity for vortex patches
- Existence and uniqueness of the solution of a Boussinesq system with nonlinear dissipation
- On the persistence of Hölder regular patches of density for the inhomogeneous Navier-Stokes equations
- Rigidity aspects of singular patches in stratified flows
- On the striated regularity for the 2D anisotropic Boussinesq system
- On the Yudovich's type solutions for the 2D Boussinesq system with thermal diffusivity
- On the inviscid Boussinesq system with rough initial data
- A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation
- Global regularity for the 2D Boussinesq equations with partial viscosity terms
- Hölder regularity of the viscous vortex patches. (Régularité höldérienne des poches de tourbillon visqueuses).
- Global well-posedness for the two-dimensional nonlinear Boussinesq equations with vertical dissipation
- Global persistence of geometrical structures for the Boussinesq equation with no diffusion
- GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO
- Fourier Analysis and Nonlinear Partial Differential Equations
- Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation
- 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
- Global well‐posedness of 2D nonlinear Boussinesq equations with mixed partial viscosity and thermal diffusivity
- Conservation of Geometric Structures for Non-Homogeneous Inviscid Incompressible Fluids
- Global existence and uniqueness for a nonlinear Boussinesq system in dimension two
This page was built for publication: The vortex patch issue for the generalized Boussinesq system