Journal article
Relative entropy method for the relaxation limit of hydrodynamic models
- Abstract:
-
We show how to obtain general nonlinear aggregation-diffusion models, including Keller-Segel type models with nonlinear diffusions, as relaxations from nonlocal compressible Euler-type hydrodynamic systems via the relative entropy method. We discuss the assumptions on the confinement and interaction potentials depending on the relative energy of the free energy functional allowing for this relaxation limit to hold. We deal with weak solutions for the nonlocal compressible Euler-type systems a...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Authors
Bibliographic Details
- Publisher:
- American Institute of Mathematical Sciences Publisher's website
- Journal:
- Networks and Heterogeneous Media Journal website
- Volume:
- 15
- Issue:
- 3
- Pages:
- 369-387
- Publication date:
- 2020-09-09
- Acceptance date:
- 2020-05-05
- DOI:
- EISSN:
-
1556-181X
- ISSN:
-
1556-1801
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
1103267
- Local pid:
- pubs:1103267
- Deposit date:
- 2020-05-06
Terms of use
- Copyright holder:
- American Institute of Mathematical Sciences
- Copyright date:
- 2020
- Rights statement:
- © American Institute of Mathematical Sciences
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from American Institute of Mathematical Sciences at https://doi.org/10.3934/nhm.2020023
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