Boundedness in a fully parabolic chemotaxis-consumption system with nonlinear diffusion and sensitivity, and logistic source

Giuseppe Viglialoro
;Monica Marras
2018-01-01

Abstract

In this paper we study the zero-flux chemotaxis-system (Formula presented.) Ω being a convex smooth and bounded domain of ℝn, n≥1, and where m,k∈ℝ, μ > 0 and α 0. We prove that for nonnegative and sufficiently regular initial data u(x, 0) and v(x, 0), the corresponding initial-boundary value problem admits a unique globally bounded classical solution provided μ is large enough.
2018
Inglese
MATHEMATISCHE NACHRICHTEN
291
14-15
2318
2333
16
WOS:000446455400013
2-s2.0-85054328319
http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1522-2616
Esperti anonimi
internazionale
scientifica
Boundedness; Chemotaxis; Global existence; Logistic source; Nonlinear parabolic systems; Mathematics (all)
no
Viglialoro, Giuseppe; Marras, Monica
1.1 Articolo in rivista
info:eu-repo/semantics/article
1 Contributo su Rivista::1.1 Articolo in rivista
262
2
reserved
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