Lagrangian approach to the study of level sets. II: A quasilinear equation in climatology

DOI10.1016/J.JMAA.2008.09.046zbMath1179.35170OpenAlexW1963782817WikidataQ59227372 ScholiaQ59227372MaRDI QIDQ1012202

Sergey Shmarev, Jesús Ildefonso Díaz

Publication date: 14 April 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.09.046

zbMATH Keywords

Lagrangian coordinatesparabolic \(p\)-Laplacianclimatic energy balance models

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Meteorology and atmospheric physics (86A10) Free boundary problems for PDEs (35R35) Quasilinear parabolic equations (35K59)

Related Items (2)

Existence and multiplicity of segregated solutions to a cell-growth contact inhibition problem ⋮ Trajectory attractors of energy balance climate models with bio-feedback and latent energy flux

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lagrangian approach to the study of level sets: Application to a free boundary problem in climatology
• Compact sets in the space \(L^ p(0,T;B)\)
• \(C^{\infty}\)-regularity of the interface of the evolution \(p\)-Laplacian equation
• A nonlinear parabolic problem on a Riemannian manifold without boundary arising in climatology
• Linear and quasilinear elliptic equations
• Regularity of the free boundary for the porous medium equation
• Existence and regularity theorems for a free boundary problem governing a simple climate model
• The semilinear heat equation with a Heaviside source term

This page was built for publication: Lagrangian approach to the study of level sets. II: A quasilinear equation in climatology