Тип публикации: статья из журнала
Год издания: 2021
Идентификатор DOI: 10.33048/semi.2021.18.108
Ключевые слова: navier-stokes equations, de rham complex, open mapping theorem
Аннотация: We consider an initial problem for the Navier-Stokes type equations associated with the de Rham complex over R-n x[0, T], n >= 3, with a positive time T. We prove that the problem induces an open injective mappings on the scales of specially constructed function spaces of Bochner-Sobolev type. In particular, the corresponding stateПоказать полностьюment on the intersection of these classes gives an open mapping theorem for smooth solutions to the Navier-Stokes equations. We consider an initial problem for the Navier-Stokes type equations associated with the de Rham complex over (Formula Presented), with a positive time T. We prove that the problem induces an open injective mappings on the scales of specially constructed function spaces of Bochner-Sobolev type. In particular, the corresponding statement on the intersection of these classes gives an open mapping theorem for smooth solutions to the Navier-Stokes equations. © 2021 Shlapunov A.A., Tarkhanov N.
Журнал: SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA
Выпуск журнала: Vol. 18, Is. 2
Номера страниц: 1433-1466
Место издания: SOBOLEV INST MATHEMATICS
Издатель: 0