Title: A variational inequality approach to Hele-Shaw flow with a moving boundary
Abstract:Synopsis This paper is concerned with the study of a mathematical model of the injection of fluid into a finite Hele–Shaw cell. The mathematical problem is one of solving Laplace's equation in an unkn...Synopsis This paper is concerned with the study of a mathematical model of the injection of fluid into a finite Hele–Shaw cell. The mathematical problem is one of solving Laplace's equation in an unknown region whose boundary changes with time. By a transformation of the dependent variable, an elliptic variational inequality formulation of the moving boundary problem is obtained. The variational inequality is shown to have a unique solution up to the time at which the cell is filled. Regularity results for the solution of the inequality are obtained by studying a penalty approximation of the inequality.Read More
Publication Year: 1981
Publication Date: 1981-01-01
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 118
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot