Blow‐up phenomena in chemotaxis systems with a source term | Zendy

Marras Monica | Zendy; VernierPiro Stella | Zendy; Viglialoro Giuseppe | Zendy

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Blow‐up phenomena in chemotaxis systems with a source term

Author(s) -

Marras Monica,

VernierPiro Stella,

Viglialoro Giuseppe

Publication year - 2016

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.3728

Subject(s) - mathematics , term (time) , bounded function , domain (mathematical analysis) , boundary (topology) , type (biology) , mathematical analysis , chemotaxis , parabolic partial differential equation , boundary value problem , partial differential equation , physics , receptor , quantum mechanics , biology , ecology , biochemistry , chemistry

This paper deals with a parabolic–parabolic Keller–Segel‐type system in a bounded domain ofR N , { N = 2;3}, under different boundary conditions, with time‐dependent coefficients and a positive source term. The solutions may blow up in finite time t ∗ ; and under appropriate assumptions on data, explicit lower bounds for blow‐up time are obtained when blow up occurs. Copyright © 2015 John Wiley & Sons, Ltd.

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