A free boundary problem arising from branching Brownian motion with selection
Publication
, Journal Article
Berestycki, J; Brunet, É; Nolen, J; Penington, S
Published in: Transactions of the American Mathematical Society
May 18, 2021
We study a free boundary problem for a parabolic partial differential equation in which the solution is coupled to the moving boundary through an integral constraint. The problem arises as the hydrodynamic limit of an interacting particle system involving branching Brownian motion with selection, the so-called model which is studied in the companion paper (see Julien Berestycki, Éric Brunet, James Nolen, and Sarah Penington [, 2020]). In this paper we prove existence and uniqueness of the solution to the free boundary problem, and we characterise the behaviour of the solution in the large time limit.
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Published In
Transactions of the American Mathematical Society
DOI
EISSN
1088-6850
ISSN
0002-9947
Publication Date
May 18, 2021
Volume
374
Issue
9
Start / End Page
6269 / 6329
Publisher
American Mathematical Society (AMS)
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
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Berestycki, J., Brunet, É., Nolen, J., & Penington, S. (2021). A free boundary problem arising from branching Brownian motion with selection. Transactions of the American Mathematical Society, 374(9), 6269–6329. https://doi.org/10.1090/tran/8370
Berestycki, Julien, Éric Brunet, James Nolen, and Sarah Penington. “A free boundary problem arising from branching Brownian motion with selection.” Transactions of the American Mathematical Society 374, no. 9 (May 18, 2021): 6269–6329. https://doi.org/10.1090/tran/8370.
Berestycki J, Brunet É, Nolen J, Penington S. A free boundary problem arising from branching Brownian motion with selection. Transactions of the American Mathematical Society. 2021 May 18;374(9):6269–329.
Berestycki, Julien, et al. “A free boundary problem arising from branching Brownian motion with selection.” Transactions of the American Mathematical Society, vol. 374, no. 9, American Mathematical Society (AMS), May 2021, pp. 6269–329. Crossref, doi:10.1090/tran/8370.
Berestycki J, Brunet É, Nolen J, Penington S. A free boundary problem arising from branching Brownian motion with selection. Transactions of the American Mathematical Society. American Mathematical Society (AMS); 2021 May 18;374(9):6269–6329.
Published In
Transactions of the American Mathematical Society
DOI
EISSN
1088-6850
ISSN
0002-9947
Publication Date
May 18, 2021
Volume
374
Issue
9
Start / End Page
6269 / 6329
Publisher
American Mathematical Society (AMS)
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics