Lagrangian approach to the study of level sets: Application to a free boundary problem in climatology

DOI10.1007/s00205-008-0164-yzbMath1254.76120OpenAlexW2103743632WikidataQ59227376 ScholiaQ59227376MaRDI QIDQ1041119

Sergey Shmarev, Jesús Ildefonso Díaz

Publication date: 30 November 2009

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-008-0164-y

zbMATH Keywords

semilinear parabolic equationLagrangian coordinatesBudyko energy balance model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (10)

The singular set of higher dimensional unstable obstacle type problems ⋮ A geological delayed response model for stratigraphic reconstructions ⋮ On the singularities of a free boundary through Fourier expansion ⋮ Local in time solvability of a nonstandard free boundary problem in stratigraphy: a Lagrangian approach ⋮ Interfaces in diffusion-absorption processes in nonhomogeneous media ⋮ Existence and multiplicity of segregated solutions to a cell-growth contact inhibition problem ⋮ Stability results for discontinuous nonlinear elliptic and parabolic problems with a S-shaped bifurcation branch of stationary solutions ⋮ Similarity solutions of an equation describing ice sheet dynamics ⋮ Lagrangian approach to the study of level sets. II: A quasilinear equation in climatology ⋮ Trajectory attractors of energy balance climate models with bio-feedback and latent energy flux

Cites Work

• Evolution equations and Lagrangian coordinates
• On the interfaces in a nonlocal quasilinear degenerate equation arising in population dynamics
• The regularity of solutions of reaction-diffusion equations via Lagrangian coordinates
• A nonlinear parabolic problem on a Riemannian manifold without boundary arising in climatology
• Interfaces in multidimensional diffusion equations with absorption terms
• An introduction to continuum mechanics
• Mathematical and numerical analysis of a nonlinear diffusive climate energy balance model
• Linear and quasilinear elliptic equations
• A coordinate transformation for the porous media equation that renders the free boundary stationary
• The interface between regions where u<0 andu > 0in the porous medium equation
• Evolution of a stable profile for a class of nonlinear diffusion equations. III. Slow diffusion on the line
• A note on uniqueness for parabolic problems with discontinuous nonlinearities
• Some existence, uniqueness and nonuniqueness theorems for solutions of parabolic equations with discontinuous nonlinearities
• Classical solutions to a multidimensional free boundary problem arising in combustion theory
• Existence and regularity theorems for a free boundary problem governing a simple climate model
• The semilinear heat equation with a Heaviside source term
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Lagrangian approach to the study of level sets: Application to a free boundary problem in climatology