Global wellposedness of the primitive equations with nonlinear equation of state in critical spaces

DOI10.1007/s00021-022-00672-9zbMath1490.35298OpenAlexW4220950367MaRDI QIDQ831431

Matthias Hieber, Tim Binz

Publication date: 23 March 2022

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-022-00672-9

zbMATH Keywords

critical spacesprimitive equationsnonlinear equation of state

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) One-parameter semigroups and linear evolution equations (47D06) Meteorology and atmospheric physics (86A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Linear and quasilinear evolution equations in the context of weighted \(L_p\)-spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Global strong \(L^{p}\) well-posedness of the 3D primitive equations with heat and salinity diffusion
• Addendum to the paper ``On quasilinear parabolic evolution equations in weighted \(L_p\)-spaces II
• A generalization of a theorem by Kato on Navier-Stokes equations
• Global well-posedness of the ocean primitive equations with nonlinear thermodynamics
• Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
• Global strong well-posedness of the three dimensional primitive equations in \({L^p}\)-spaces
• Moving Interfaces and Quasilinear Parabolic Evolution Equations
• The Theory of Large-Scale Ocean Circulation
• New formulations of the primitive equations of atmosphere and applications
• On the equations of the large-scale ocean
• Heat kernels and maximal l^p—l^qestimates for parabolic evolution equations
• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
• Strong time-periodic solutions to the 3D primitive equations subject to arbitrary large forces
• Analyticity of solutions to the primitive equations
• Mathematical Analysis of the Navier-Stokes Equations
• Bounded 𝐻^{∞}-calculus for the hydrostatic Stokes operator on 𝐿^{𝑝}-spaces and applications
• On the regularity of the primitive equations of the ocean

This page was built for publication: Global wellposedness of the primitive equations with nonlinear equation of state in critical spaces