Global solutions for a hyperbolic-parabolic system of chemotaxis

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URI: https://hdl.handle.net/10902/30376
ISSN: 0022-247X
ISSN: 1096-0813
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Autoría
Granero Belinchón, RafaelAutoridad Unican
Fecha
2017-05-01
Derechos
Attribution-NonCommercial-NoDerivatives 4.0 International
Publicado en
Journal of Mathematical Analysis and Applications, 2017, 449(1), 872-883
Editorial
Academic Press Inc.
Palabras clave
Hyperbolic–parabolic system
Global classical solutions
Chemotaxis
Resumen/Abstract
We study a hyperbolic–parabolic model of chemotaxis related to tumor angiogenesis in dimensions one and two. We consider diffusions given by the fractional Laplacian and, in particular, we prove the global existence of classical solutions in certain dissipation regimes.
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Attribution-NonCommercial-NoDerivatives 4.0 InternationalExcepto si se señala otra cosa, la licencia del ítem se describe como Attribution-NonCommercial-NoDerivatives 4.0 International