1. Главная
  2. Публикации
  3. Existence theorems for regular solutions to the Cauchy problem for the Navier-Stokes equations in R3 : препринт

Existence theorems for regular solutions to the Cauchy problem for the Navier-Stokes equations in R3 : препринт

Описание

Тип публикации: препринт

Год издания: 2021

Идентификатор DOI: 10.48550/arXiv.2009.10530

Аннотация: We consider the initial problem for the Navier-Stokes equations over R with a positive time over specially constructed scale of function spaces of Bochner-Sobolev type. We prove that the problem induces an open both injective and surjective mapping of each space of the scale. In particular, intersection of these classes gives a unПоказать полностьюiqueness and existence theorem for smooth solutions to the Navier-Stokes equations for smooth data with a prescribed asymptotic behaviour at the infinity with respect to the time and the space variables.

Ссылки на полный текст

Издание

Место издания: arXiv

Персоны

  • Shlapunov Alexander (Siberia federal university)
  • Tarkhanov Nikolai (S.L. Sobolev Institute of Mathematics SB RAS)

Вхождение в базы данных