Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kinetic solutions for nonlocal scalar conservation laws   This work is devoted to examine the uniqueness and existence of kinetic
solutions for a class of scalar conservation laws involving a nonlocal
super-critical diffusion operator. Our proof for uniqueness is based upon the
analysis on a microscopic contraction functional and the existence is enabled
by a parabolic approximation. As an illustration, we obtain the existence and
uniqueness of kinetic solutions for the generalized fractional Burgers-Fisher
type equations. Moreover, we demonstrate the kinetic solutions' Lipschitz
continuity in time, and continuous dependence on nonlinearities and L\'{e}vy
measures.

7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics