Existence and uniqueness of a solution of the problem with free boundary in the theory of filtration consolidation of soils with regard for the influence of technogenic factors

DOI10.1007/s10958-015-2355-zzbMath1330.35337OpenAlexW1998195329MaRDI QIDQ892107

P. N. Martinyuk

Publication date: 18 November 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2355-z

zbMATH Keywords

systemfree boundaryexistence and uniqueness of a solutionquasilinear equations of the parabolic type

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59)

Cites Work

• On the smoothness of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem
• Stability and continuous dependence of solutions of one-phase Stefan problems for semilinear parabolic equations
• Analysis of an elliptic-parabolic free boundary problem modelling the growth of non-necrotic tumor cord
• Classical solutions of the Stefan problem
• A free boundary problem for the nonlinear second order parabolic equations
• A free-boundary problem for a degenerate parabolic system
• Stefan problem with kinetic and classical conditions at the free boundary
• On a parabolic system with time derivative in the boundary conditions and related free boundary problems
• Global solvability of the Cauchy-Dirichlet problem for the class of nondiagonal parabolic systems with \(q\)-nonlinearity in the gradient, \(1< q< 2\)
• Stefan-type free boundary problems for heat equations
• Local classical solution of a free boundary problem for a coupled system
• Free boundary problems arising in tumor models
• Existence of classical solutions of the multidimensional Stefan problem on a finite interval
• Нелокальная задача Стефана для квазилинейного параболического уравнения
• On the Stefan problem
• Unsaturated incompressible flows in adsorbing porous media
• Global existence of classical solutions for a nonlocal one dimensional parabolic free boundary problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Existence and uniqueness of a solution of the problem with free boundary in the theory of filtration consolidation of soils with regard for the influence of technogenic factors