DOI: 10.15672/hujms.1133453 ISSN:

A parabolic-elliptic chemo-repulsion system in 2D domains with nonlinear production

Alex ANCOMA-HUARACHİ, Exequiel MALLEA-ZEPEDA
  • Geometry and Topology
  • Statistics and Probability
  • Algebra and Number Theory
  • Analysis
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In this paper we analyze a parabolic-elliptic chemo-repulsion system, with superlinear production term in two-dimensional domains. Under the injection/extract chemical substance on a subdomain $\omega\subset\Omega$, we prove the existence and uniqueness of global-in-time strong solutions at finite time.

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