Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An unbalanced Optimal Transport splitting scheme for general
  advection-reaction-diffusion problems   In this paper, we show that unbalanced optimal transport provides a
convenient framework to handle reaction and diffusion processes in a unified
metric framework. We use a constructive method, alternating minimizing
movements for the Wasserstein distance and for the Fisher-Rao distance, and
prove existence of weak solutions for general scalar
reaction-diffusion-advection equations. We extend the approach to systems of
multiple interacting species, and also consider an application to a very
degenerate diffusion problem involving a Gamma-limit. Moreover, some numerical
simulations are included.

37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin