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On the behavior of solutions of the nonstationary Stokes system near the vertex of a cone
Author(s) -
Kozlov Vladimir,
Rossmann Jürgen
Publication year - 2019
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201800305
Subject(s) - cone (formal languages) , mathematics , eigenvalues and eigenvectors , vertex (graph theory) , remainder , pencil (optics) , mathematical analysis , operator (biology) , dirichlet problem , combinatorics , physics , boundary value problem , optics , quantum mechanics , arithmetic , graph , algorithm , biochemistry , chemistry , repressor , transcription factor , gene
The paper deals with the Dirichlet problem for the nonstationary Stokes system in a threedimensional cone. The authors study the asymptotics of the solutions near the vertex of the cone. They show that the solutions are sums of singular functions and a regular remainder, where the singular functions depend on the eigenvalues of a certain operator pencil.