STEFAN PROBLEM WITH CONVECTION

Authors
YI FH SHIH TM
Citation
Fh. Yi et Tm. Shih, STEFAN PROBLEM WITH CONVECTION, Applied mathematics and computation, 95(2-3), 1998, pp. 139-154
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics and computation → ACNP
ISSN journal
00963003
Volume
95
Issue
2-3
Year of publication
1998
Pages
139 - 154
Database
ISI
SICI code
0096-3003(1998)95:2-3<139:SPWC>2.0.ZU;2-0
Abstract
This paper deals with the equation partial derivative(1)H(u) + del[(v) over right arrow H(u) - del u] = f in D'(Omega(T)), where Omega is a bounded domain in R-n (n greater than or equal to 2) with partial deri vative Omega is an element of C-2, and Omega(T) = Omega x (0, T). H is a maximal monotonic graph and (v) over right arrow: Omega(T) --> R-n is a known smooth vector function. We prove the existence of weak solu tion, uniqueness and obtain an error estimate for the approximating pr ocess. (C) 1998 Elsevier Science Inc. All rights reserved.