ON CLASSICAL FORMULATION OF HELE‐SHAW MOVING BOUNDARY PROBLEM FOR POWER‐LAW FLUID
نویسندگان
چکیده
منابع مشابه
Viscosity solutions of Hele-Shaw moving boundary problem for power-law fluid∗
Existence and uniqueness of solutions for Hele-shaw moving boundary problem for power-law fluid is established in the framework of viscosity solutions.
متن کاملApplication of variational inequalities to the moving-boundary problem in a fluid model for biofilm growth ?
We consider a moving-boundary problem associated with a limiting case of the fluid model for biofilm growth proposed by J. Dockery and I. Klapper, SIAM J. Appl. Math. 62(3), 2001. Concepts of classical, weak, and variational solutions for this problem are introduced. Classical solutions with radial symmetry are constructed, and estimates for their growth are given. Using a weighted Baiocchi tra...
متن کاملFormulation of a Model Free-boundary Problem
The purpose of this work is to present an error analysis of the numerical approximation by a finite element method of a free-surface problem. The analysis has been done in an abstract model which has many of the features of a free-surface problem for a viscous liquid. We study in this paper how the numerical approximation of the free boundary affects the approximation of the other variables of ...
متن کاملOn Fluid mechanics formulation of Monge-Kantorovich Mass Transfer Problem
The Monge-Kantorovich mass transfer problem is equivalently formulated as an optimal control prblem for the mass transport equation. The equivalency of the two problems is establish using the Lax-Hopf formula and the optimal control theory arguments. Also, it is shown that the optimal solution to the equivalent control problem is given in a gradient form in terms of the potential solution to th...
متن کاملOn the moving boundary formulation for parabolic problems on unbounded domains
The aim of this paper is to propose an original numerical approach for parabolic problems whose governing equations are defined on unbounded domains. We are interested in studying the class of problems admitting invariance property to Lie group of scalings. Thanks to similarity analysis the parabolic problem can be transformed into an equivalent boundary value problem governed by an ordinary di...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Modelling and Analysis
سال: 2002
ISSN: 1392-6292,1648-3510
DOI: 10.3846/13926292.2002.9637188