Global existence and asymptotic behavior for a quasilinear reaction-diffusion system from climate modeling

DOI10.1016/0022-247X(91)90303-HzbMath0758.35044MaRDI QIDQ1178483

Paul G. Schmidt, Georg Hetzer

Publication date: 26 June 1992

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

zbMATH Keywords

stationary solutionsHölder estimatesSobolev estimatesquasilinear evolution equationsforced periodic oscillationsfractional order Sobolev spacemanifold without boundaryenergy balance climate modelexistence of a connected global attractorexistence of classical nonnegative solutionstheory of infinite-dimensional dissipative systemstwo-dimensional connected compact oriented Riemannian manifoldweakly coupled system of quasilinear autonomous strongly parabolic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Meteorology and atmospheric physics (86A10) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (1)

On a global climate model with non-monotone multivalued coalbedo

Cites Work

• Compactness results for time-dependent parabolic systems
• Infinite-dimensional dynamical systems in mechanics and physics
• Erratum: ``Dynamic theory of quasilinear parabolic systems. III: Global existence
• A global attractor and stationary solutions for a reaction-diffusion system arising from climate modeling
• Quasilinear Evolution Equations and Parabolic Systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Global existence and asymptotic behavior for a quasilinear reaction-diffusion system from climate modeling