Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gradient flows driven by a non-smooth repulsive interaction potential   This thesis analyze the Wasserstein gradient flow of a functional defined as
a double convolution of a non-smooth repulsive interaction potential. To be
more precise, the potential under investigation has a -|x| behavior close to
the origin. The already existent machinery of Wasserstein gradient flow is well
posed for lambda-convex potential. In this case this property is lost, but it
is proven that in the one dimensional case existence and uniqueness of the
solution is still achieved.

26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex