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Global existence and blow up of solutions of quasilinear chemotaxis system
Author(s) -
Bhuvaneswari Venkatasubramaniam,
Shangerganesh Lingeshwaran,
Balachandran Krishnan
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3313
Subject(s) - mathematics , chemotaxis , eigenvalues and eigenvectors , dirichlet boundary condition , mathematical analysis , dirichlet distribution , boundary value problem , boundary (topology) , physics , chemistry , biochemistry , receptor , quantum mechanics
In this paper, we study the global existence of solution for the quasilinear chemotaxis system with Dirichlet boundary conditions, and further we show that the blow up properties of the solution depend only on the first eigenvalue. Copyright © 2014 John Wiley & Sons, Ltd.