Global well-posedness for the thermodynamically refined passively transported nonlinear moisture dynamics with phase changes

DOI10.1007/s00332-023-09915-zzbMath1528.35119arXiv2206.13471OpenAlexW4379520173MaRDI QIDQ6174596

Edriss S. Titi, Sabine Hittmeir, Rupert Klein, Jinkai Li

Publication date: 14 July 2023

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.13471

zbMATH Keywords

primitive equationsmoisture model for warm clouds with phase transitionwell-posedness for nonlinear moisture dynamics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) 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) Second-order parabolic equations (35K10) Viscous-inviscid interaction (76D09) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Unilateral problems for nonlinear PDEs of mixed type and variational inequalities with nonlinear partial differential operators of mixed type (35M86)

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