On the well-posedness of the Cauchy problem for the system of equations of chemotaxis
type: Item
instance of: scholarly article
title: On the well-posedness of the Cauchy problem for the system of equations of chemotaxis
zbMATH Open document ID: 1023.35048
author: V. A. Tupchiev
author: N. A. Fomina
published in: Computational Mathematics and Mathematical Physics
publication date: 2003-07-01T00:00:00Z
review text: This paper is devoted to the initial boundary value problem for the system of equations of chemotaxis. The existence and uniqueness of a classical solution to the problem are proved for the original problem with nonzero diffusivities. For the reduced problem with zero diffusivities, the existence of a functional solution is proved. The existence of a Sobolev solution to the former problem is proved by taking the limit value of one of the diffusivities.
Mathematics Subject Classification ID: 35K50
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35Q80
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 92C40
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 1940643
zbMATH Keywords: classical solution
zbMATH Keywords: problem with zero diffusivities
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1940643