Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 13 July 2020Accepted: 24 May 2021Published online: 16 September 2021Keywordsfluid dynamics, climate modeling, variational inequality, numerical analysis, conservation lawAMS Subject Headings35K86, 65K15, 76A20, 76D27, 76M12Publication DataISSN (print): 0036-1399ISSN (onli...

a) Under the hypotheses above, problems (P1) and (P2) have at least one solution Ω, which is a bounded set. b) If F is moreover locally Lipschitz, then every solution Ω of (P2) is a bounded set with finite perimeter. c) If in addition F is locally bi-Lipschitz in at least one variable, then every solution Ω of (P1) is a bounded set with finite perimeter. The existence result for (P1) and (P2) u...

This paper deals with a theoretical mathematical analysis of one-dimensional solidification problem, in which kinetic undercooling is incorporated into the This temperature condition at the interface. A model problem with nonlinear kinetic law is considered. We prove a local result intimate for the uniqueness of solution of the corresponding free boundary problem.

Abstract. Chronic wounds represent a major public health problem affecting 6.5 million people in the United States. Ischemia represents a serious complicating factor in wound healing. In this paper we analyze a recently developed mathematical model of ischemic dermal wounds. The model consists of a coupled system of partial differential equations in the partially healed region, with the wound b...