On a coupled Stefan-like problem in thermo-visco-plastic rheology
type: Item
instance of: scholarly article
title: On a coupled Stefan-like problem in thermo-visco-plastic rheology
zbMATH Open document ID: 0897.76006
DOI: 10.1016/S0377-0427(97)00111-8
author: J. Ning
published in: Journal of Computational and Applied Mathematics
publication date: 1998-10-19T00:00:00Z
review text: The paper deals with coupled Stefan-like problems arising in thermo-viscoplastic rheology. The physical model is derived by using conservation principles. The author gives the existence of weak solutions by means of the regularization of nonlinear degenerate terms and uses a nondifferentiable functional arising in variational formulation of the problem. The model investigated represents geodynamic processes in the Earth and describes critical situations in regions, where high-level radioactive waste disposal systems will be situated. A sequence of regularized solutions is obtained by Galerkin approximations and monotonicity arguments.
Mathematics Subject Classification ID: 76A99
Mathematics Subject Classification ID: 86A60
Mathematics Subject Classification ID: 80A22
Mathematics Subject Classification ID: 74C10
zbMATH DE Number: 1084121
zbMATH Keywords: conservation principles
zbMATH Keywords: existence of weak solutions
zbMATH Keywords: regularization
zbMATH Keywords: nonlinear degenerate terms
zbMATH Keywords: nondifferentiable functional
zbMATH Keywords: variational formulation
zbMATH Keywords: geodynamic processes
zbMATH Keywords: high-level radioactive waste disposal systems
zbMATH Keywords: Galerkin approximations
zbMATH Keywords: monotonicity
MaRDI profile type: Publication
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full work available at URL: s0377-0427(97)00111-8
OpenAlex ID: W2008742050
description: scientific article; zbMATH DE number 1084121