Data assimilation to the primitive equations with \(L^p\)-\(L^q\)-based maximal regularity approach

DOI10.1007/s00021-023-00843-2arXiv2208.12528MaRDI QIDQ6144337

Ken Furukawa

Publication date: 29 January 2024

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

Full work available at URL: https://arxiv.org/abs/2208.12528

zbMATH Keywords

Besov spaceasymptotic analysisapproximate solutiongeophysical flow modelperiodic layer domain

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Geophysical flows (76U60)

Cites Work

• Unnamed Item
• Unnamed Item
• Global strong \(L^{p}\) well-posedness of the 3D primitive equations with heat and salinity diffusion
• Maximal regularity and global existence of solutions to a quasilinear thermoelastic plate system
• Addendum to the paper ``On quasilinear parabolic evolution equations in weighted \(L_p\)-spaces II
• Continuous data assimilation for the 3D primitive equations of the ocean
• Anisotropic estimates and strong solutions of the primitive equations.
• Maximal regularity for evolution equations in weighted \(L_p\)-spaces
• Continuous data assimilation using general interpolant observables
• 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
• Continuous data assimilation for the three-dimensional Navier–Stokes-α model
• One-Parameter Semigroups for Linear Evolution Equations
• Analyticity of solutions to the primitive equations
• On the regularity of the primitive equations of the ocean

This page was built for publication: Data assimilation to the primitive equations with \(L^p\)-\(L^q\)-based maximal regularity approach