arXiv Open Access 2025

On a mixed problem for the nonstationary Stokes system in an angle

Jürgen Rossmann

Lihat Sumber

Abstrak

The autor considers an initial-boundary value problem for the nonstationary Stokes system in an angle, where Dirichlet and Neumann conditions are prescribed on the diferent sides of the angle. The major part of the paper deals with the parameter-depending problem which arises after the application of the Laplace transform. The author obtains existence, uniqueness and regularity results for this problem in a class of weighted Sobolev spaces. Using the properties of the Laplace transform, he proves the existence and uniqueness of strong solutions of the time-dependent problem.

Topik & Kata Kunci

math.AP

Penulis (1)

Jürgen Rossmann

Format Sitasi

APA MLA BibTeX

Rossmann, J. (2025). On a mixed problem for the nonstationary Stokes system in an angle. https://arxiv.org/abs/2503.18720

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓