A priori estimates for free boundary problem of 3D incompressible inviscid rotating Boussinesq equations

DOI10.1007/s00033-023-01974-2zbMath1514.35351MaRDI QIDQ6102497

Unnamed Author, Cheng Chun Hao

Publication date: 8 May 2023

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

a priori estimatesfree boundary problemrotating Boussinesq equationsrotating MHD

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) A priori estimates in context of PDEs (35B45) Magnetohydrodynamics and electrohydrodynamics (76W05) Meteorology and atmospheric physics (86A10) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) PDEs in connection with geophysics (35Q86) Geophysical flows (76U60)

Cites Work

• Unnamed Item
• Unnamed Item
• Well-posedness for the motion of an incompressible liquid with free surface boundary
• On the global well-posedness for Boussinesq system
• Existence and uniqueness results for the Boussinesq system with data in Lorentz spaces
• Global well-posedness for the primitive equations with less regular initial data
• Oberbeck-Boussinesq approximation for the motion of two incompressible fluids
• Local existence and blow-up criterion of the 2-D compressible Boussinesq equations without dissipation terms
• Global regularity of solutions of 2D Boussinesq equations with fractional diffusion
• Well-posedness in Sobolev spaces of the full water wave problem in 2D
• Asymptotics and lower bound for the lifespan of solutions to the primitive equations
• Maximal \(L^p-L^q\) regularity for two-phase fluid motion in the linearized Oberbeck-Boussinesq approximation
• A priori estimates for free boundary problem of incompressible inviscid magnetohydrodynamic flows
• Global regularity results of the 2D Boussinesq equations with fractional Laplacian dissipation
• On the Global Existence for the Axisymmetric Euler-Boussinesq System in Critical Besov Spaces
• Global solutions for the incompressible rotating stably stratified fluids
• A PRIORI ESTIMATES FOR THE MOTION OF A SELF-GRAVITATING INCOMPRESSIBLE LIQUID WITH FREE SURFACE BOUNDARY
• Well-posedness of the free-surface incompressible Euler equations with or without surface tension
• Well-posedness in Sobolev spaces of the full water wave problem in 3-D
• Local existence and blow-up criterion for the Boussinesq equations
• A Priori Estimates for the Compressible Euler Equations for a Liquid with Free Surface Boundary and the Incompressible Limit
• Well‐posedness for the linearized motion of an incompressible liquid with free surface boundary
• ON THE REGULARITY OF THREE-DIMENSIONAL ROTATING EULER–BOUSSINESQ EQUATIONS