Hele-Shaw type problems with dynamical boundary conditions
نویسندگان
چکیده
منابع مشابه
A moving boundary problem for periodic Stokesian Hele–Shaw flows
This paper is concerned with the motion of an incompressible, viscous fluid in a Hele–Shaw cell. The free surface is moving under the influence of gravity and the fluid is modelled using a modified Darcy law for Stokesian fluids. We combine results from the theory of quasilinear elliptic equations, analytic semigroups and Fourier multipliers to prove existence of a unique classical solution to ...
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This work is motivated by the paper [LP]. In this paper, the authors consider the scaling limits of three discrete aggregation models with multiple sources the internal DLA (diffusion-limited aggregation), the rotor-router, and the divisible sandpile model. They show that for all three models, the scaling limit is the same, and it is a solution of the Hele-Shaw injection problem with multiple s...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2006.10.093