On the global-in-time existence of a generalized solution to a free-boundary problem

DOI10.1134/S0001434620010277zbMath1444.35168OpenAlexW3009368041MaRDI QIDQ2191962

O. A. Gal'tseva, V. E. Sel'demirov, Anvarbek M. Meirmanov

Publication date: 26 June 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620010277

zbMATH Keywords

a priori estimatesdiffusion-convection equationfixed-point methodfree-boundary problems

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Free boundary problems for PDEs (35R35)

Related Items (3)

Global three-dimensional solvability the axisimmetric Stefan problem for quasilinear equation ⋮ Compactness theorems connected with problems with unknown boundary ⋮ Unnamed Item

Cites Work

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• On an initial-boundary value problem for the Stokes systems arising in the study of a problem with a free boundary
• A free boundary problem for a coupled system of elliptic, hyperbolic, and Stokes equations modeling tumor growth
• Free boundaries in rock mechanics

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