Boundary value problems for a quasilinear parabolic equation with an unknown coefficientстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 18 марта 2019 г.
Аннотация:The work is connected with mathematical modeling of physical-chemical processes in which inner characteristics of materials are subjected to changes. The present parabolic models consist of a boundary value problem for a quasulinear parabolic equation with an unknown coefficient at the derivative with respect to time and, moreover, involve an relationship for a time dependence of this coefficient. For such a system, conditions of unique solvability in a class of smooth functions are obtained. As examples of applications of the considered nonlinear boundary value problems, the models of destruction of heat-protective composite under the influence of high temperature heating are discussed.