We describe a class of inhomogeneous two-dimensional porous medium flows, driven by a finite number of multipole sources; the free boundary dynamics can be ...
A class of two-phase porous medium flows in two dimensions involves the dy- namics of the boundary ∂Ω(t) in the (x, y) plane separating two disjoint, open.
Sam D. Howison, Igor Loutsenko, John R. Ockendon: A class of exactly solvable free-boundary inhomogeneous porous medium flows. Appl. Math. Lett.
Denote by f the solution to the free boundary problem. ( ft = f ∆f + r ... dimensional porous medium flow, Comm. Pure and Appl. Math. 38 (1985), 375 ...
This corresponds to horizontal lines, which are also solutions of the geodesic equations, and correspond to limits of dilations x -> cx, y -> cy as c -> oo.
A class of exactly solvable free-boundary inhomogeneous porous medium flows ... We describe a class of inhomogeneous two-dimensional porous medium flows ...
This review collates a wide variety of free boundary problems which are characterized by the uniform proximity of the free boundary to a prescribed surface.
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The Heat Equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to ...
A class of exactly solvable free-boundary inhomogeneous porous medium flows · Mathematics, Physics. Applied Mathematics Letters · 2007.
Jul 28, 2019 · In this paper we examine an inhomogeneous porous medium equation (PME) ... Regularity of the free boundary of a gas flow in an n-dimensional ...
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