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Local existence of classical solutions to the well-posed Hele-Shaw problem.

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Publication:1871551
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zbMath1037.35100MaRDI QIDQ1871551

C. R. Gonçalves, Anvarbek M. Meirmanov, Stanislav N. Antontsev

Publication date: 22 September 2003

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/50755


zbMATH Keywords

local existencefree boundary problemsHele-Shaw problemapproximation of solutions


Mathematics Subject Classification ID

Theoretical approximation in context of PDEs (35A35) Free boundary problems for PDEs (35R35) Other free boundary flows; Hele-Shaw flows (76D27)


Related Items (7)

The inverse boundary value problem: application in many-body perturbation theory ⋮ Regularity of the free boundary for the one phase Hele--Shaw problem ⋮ Real variable Hele-Shaw problem with kinetic undercooling ⋮ Hele-Shaw flow with a small obstacle ⋮ The vanishing surface tension limit for the Hele-Shaw problem ⋮ Homogenization of the Hele-Shaw problem in periodic spatiotemporal media ⋮ On Fourier multipliers in function spaces with partial Hölder condition and their application to the linearized Cahn-Hilliard equation with dynamic boundary conditions




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