On the fractional Fisher information with applications to a hyperbolic-parabolic system of chemotaxis

Rafael Granero-Belinchón

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arXiv · 1607.06362

On the fractional Fisher information with applications to a hyperbolic-parabolic system of chemotaxis

Rafael Granero-Belinchón

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Abstract

We introduce new lower bounds for the fractional Fisher information. Equipped with these bounds we study a hyperbolic-parabolic model of chemotaxis and prove the global existence of solutions in certain dissipation regimes.

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Rafael Granero-Belinchón. 2016-07-21. On the fractional Fisher information with applications to a hyperbolic-parabolic system of chemotaxis. https://arxiv.org/abs/1607.06362

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