Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a class of modified Wasserstein distances induced by concave mobility
  functions defined on bounded intervals   We study a new class of distances between Radon measures similar to those
studied in a recent paper of Dolbeault-Nazaret-Savar\'e [DNS]. These distances
(more correctly pseudo-distances because can assume the value $+\infty$) are
defined generalizing the dynamical formulation of the Wasserstein distance by
means of a concave mobility function. We are mainly interested in the physical
interesting case (not considered in [DNS]) of a concave mobility function
defined in a bounded interval. We state the basic properties of the space of
measures endowed with this pseudo-distance. Finally, we study in detail two
cases: the set of measures defined in $R^d$ with finite moments and the set of
measures defined in a bounded convex set. In the two cases we give sufficient
conditions for the convergence of sequences with respect to the distance and we
prove a property of boundedness.

25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin