A sufficient condition for a loss of smoothness of solutions for a system of equations of thin atmosphere model (Q1814321)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A sufficient condition for a loss of smoothness of solutions for a system of equations of thin atmosphere model |
scientific article; zbMATH DE number 10661
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A sufficient condition for a loss of smoothness of solutions for a system of equations of thin atmosphere model |
scientific article; zbMATH DE number 10661 |
Statements
A sufficient condition for a loss of smoothness of solutions for a system of equations of thin atmosphere model (English)
0 references
25 June 1992
0 references
A first-order partial differential equation is considered on a closed Riemannian manifold. An analytic condition is given under which a solution with smooth initial conditions loses its smoothness after a period of time which is estimated in the paper. The system has a meaning as a model in meteorology; in that context the breakdown of smoothness is interpreted as the formation of an atmospheric front.
0 references
first-order partial differential equation
0 references
Riemannian manifold
0 references
solution with smooth initial conditions
0 references
breakdown of smoothness
0 references
meteorology
0 references
0.7993105053901672
0 references
0.7976713180541992
0 references
0.6983925700187683
0 references
0.6945896148681641
0 references
