Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spherical Hellinger-Kantorovich gradient flows   We study nonlinear degenerate parabolic equations of Fokker-Planck type which
can be viewed as gradient flows with respect to the recently introduced
spherical Hellinger-Kantorovich distance. The driving entropy is not assumed to
be geodesically convex. We prove solvability of the problem and the
entropy-entropy production inequality, which implies exponential convergence to
the equilibrium. As a corollary, we obtain some related results for the
Wasserstein gradient flows. We also deduce transportation inequalities in the
spirit of Talagrand, Otto and Villani for the spherical and conic
Hellinger-Kantorovich distances.

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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int