Existence and regularity theorems for a free boundary problem governing a simple climate model

DOI10.1080/00036819108840032zbMath0725.35110OpenAlexW2025063753WikidataQ58150940 ScholiaQ58150940MaRDI QIDQ5201696

Xiangsheng Xu

Publication date: 1991

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819108840032

zbMATH Keywords

interfaceenergy-balance climate models

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Free boundary problems for PDEs (35R35) Generalized solutions to partial differential equations (35Dxx)

Related Items (5)

Mathematical and numerical analysis of a nonlinear diffusive climate energy balance model ⋮ On the exact number of monotone solutions of a simplified Budyko climate model and their different stability ⋮ Stability results for discontinuous nonlinear elliptic and parabolic problems with a S-shaped bifurcation branch of stationary solutions ⋮ Lagrangian approach to the study of level sets. II: A quasilinear equation in climatology ⋮ Lagrangian approach to the study of level sets: Application to a free boundary problem in climatology

Cites Work

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• Regularity and asymptotic behavior of two immiscible fluids in a one- dimensional porous medium
• A free boundary problem arising from reproductive toxic mass spreading

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