Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anisotropic tempered diffusion equations   We introduce a functional framework which is specially suited to formulate
several classes of anisotropic evolution equations of tempered diffusion type.
Under an amenable set of hypothesis involving a very natural potential
function, these models can be shown to belong to the entropy solution framework
devised by 4, 5, therefore ensuring well-posedness. We connect the properties
of this potential with those of the associated cost function, thus providing a
link with optimal transport theory and a supply of new examples of relativistic
cost functions. Moreover, we characterize the anisotropic spreading properties
of these models and we determine the Rankine-Hugoniot conditions that rule the
temporal evolution of jump hypersurfaces under the given anisotropic flows.

20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
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
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
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The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc