Journal
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
Volume 63, Issue 10, Pages 1351-1361Publisher
JOHN WILEY & SONS INC
DOI: 10.1002/cpa.20337
Keywords
-
Categories
Funding
- National Science Foundation
- Office of Naval Research
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0901802] Funding Source: National Science Foundation
Ask authors/readers for more resources
The determination of the large-scale boundaries between moist and dry regions is an important problem in contemporary meteorology. These phenomena have been addressed recently in a simplified tropical climate model through a novel hyperbolic free boundary formulation yielding three families (drying, slow moistening, and fast moistening) of precipitation fronts. The last two wave types violate Lax's shock inequalities yet are robustly realized. This formal hyperbolic free boundary problem is given here a rigorous mathematical basis by establishing the existence and uniqueness of suitable weak solutions arising in the zero relaxation limit. A new L(2)-contraction estimate is also established at positive relaxation values. (C) 2010 Wiley Periodicals, Inc.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available