Free Boundary Problem in a Polymer Solution Model

A. G. Petrova, V. V. Pukhnachev

Результат исследования: Научные публикации в периодических изданияхстатьярецензирование

Аннотация

An initial boundary value problem with a free boundary for a third-order integro-differential equation for the unsteady flow of an aqueous polymer solution in a strip is studied. Questions concerning the solvability of the problem and the qualitative behavior of the solution in dependence on the initial data are investigated: time-local resolvability is established under natural conditions on the input data and conditions of global solvability are found for the problem of strip narrowing. Conditions for the bowing-up of the solution in finite time in the model problem of strip expansion are presented. The problem of small perturbations of the flow of a strip of viscous fluid with respect to a parameter proportional to the relaxation viscosity is also consider.

Язык оригиналаанглийский
Страницы (с-по)96-103
Число страниц8
ЖурналRussian Journal of Mathematical Physics
Том28
Номер выпуска1
DOI
СостояниеОпубликовано - янв 2021

Предметные области OECD FOS+WOS

  • 1.01 МАТЕМАТИКА
  • 1.03 ФИЗИЧЕСКИЕ НАУКИ И АСТРОНОМИЯ

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