Reaction terms avoiding aggregation in slow fluids

Elio Espejo; Takashi Suzuki

doi:10.1016/j.nonrwa.2014.07.001

Reaction terms avoiding aggregation in slow fluids

Elio Espejo, Takashi Suzuki

Research output: Journal Publication › Article › peer-review

82 Citations (Scopus)

Abstract

We propose a new mathematical model describing the fertilization process of corals and some other invertebrates. As a result we obtain a Keller-Segel system with reaction terms coupled with a Stokes equation. We prove in dimension two that independently of the size of |_{^ρ0| ^L1}, there exist global weak solutions. Finally we discuss some open problems arising from our research.

Original language	English
Pages (from-to)	110-126
Number of pages	17
Journal	Nonlinear Analysis: Real World Applications
Volume	21
Issue number	1
DOIs	https://doi.org/10.1016/j.nonrwa.2014.07.001
Publication status	Published - Feb 2015
Externally published	Yes

Keywords

Chemotaxis
Drift-diffusion model
Fluids
Keller-Segel
Reaction terms
Stokes equations

ASJC Scopus subject areas

General Engineering
Computational Mathematics
Analysis
Applied Mathematics
General Economics,Econometrics and Finance

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10.1016/j.nonrwa.2014.07.001

Cite this

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title = "Reaction terms avoiding aggregation in slow fluids",

abstract = "We propose a new mathematical model describing the fertilization process of corals and some other invertebrates. As a result we obtain a Keller-Segel system with reaction terms coupled with a Stokes equation. We prove in dimension two that independently of the size of |ρ0| L1, there exist global weak solutions. Finally we discuss some open problems arising from our research.",

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AB - We propose a new mathematical model describing the fertilization process of corals and some other invertebrates. As a result we obtain a Keller-Segel system with reaction terms coupled with a Stokes equation. We prove in dimension two that independently of the size of |ρ0| L1, there exist global weak solutions. Finally we discuss some open problems arising from our research.

KW - Chemotaxis

KW - Drift-diffusion model

KW - Fluids

KW - Keller-Segel

KW - Reaction terms

KW - Stokes equations

UR - https://www.scopus.com/pages/publications/84904646561

U2 - 10.1016/j.nonrwa.2014.07.001

DO - 10.1016/j.nonrwa.2014.07.001

M3 - Article

AN - SCOPUS:84904646561

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EP - 126

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 1

ER -

Reaction terms avoiding aggregation in slow fluids

Abstract

Keywords

ASJC Scopus subject areas

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