Zobrazeno 1 - 10
of 101
pro vyhledávání: '"Robert L. Pego"'
Publikováno v:
Communications in Mathematical Sciences
Communications in Mathematical Sciences, International Press, 2020, 18, pp.55-89
Communications in Mathematical Sciences, 2020, 18, pp.55-89
Communications in Mathematical Sciences, International Press, 2020, 18, pp.55-89
Communications in Mathematical Sciences, 2020, 18, pp.55-89
International audience; We translate a coagulation-framentation model, describing the dynamics of animal group size distributions , into a model for the population distribution and associate the nonlinear evolution equation with a Markov jump process
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86e8de06553335058d5742e8802b43ea
https://doi.org/10.4310/cms.2020.v18.n1.a3
https://doi.org/10.4310/cms.2020.v18.n1.a3
Publikováno v:
Communications in Mathematical Sciences. 18:1815-1862
In this paper we study the asymptotic behavior of Brownian motion in both comb-shaped planar domains, and comb-shaped graphs. We show convergence to a limiting process when both the spacing between the teeth \emph{and} the width of the teeth vanish a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1dc672d6ac819c99beea2b45a5a35b09
https://doi.org/10.4310/cms.2020.v18.n7.a2
https://doi.org/10.4310/cms.2020.v18.n7.a2
Autor:
Won Eui Hong, Robert L. Pego
Publikováno v:
Journal of Mathematical Biology. 83
For classic Lotka–Volterra systems governing many interacting species, we establish an exclusion principle that rules out the existence of linearly asymptotically stable steady states in subcommunities of communities that admit a stable state which
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::420fbc84f29c7fbee3cbc6f6fdfed7ba
https://doi.org/10.1007/s00285-021-01638-7
https://doi.org/10.1007/s00285-021-01638-7
Autor:
Jian-Guo Liu, Robert L. Pego
Publikováno v:
Chinese Annals of Mathematics, Series B. 40:925-948
Despite important advances in the mathematical analysis of the Euler equations for water waves, especially over the last two decades, it is not yet known whether local singularities can develop from smooth data in well-posed initial value problems. F
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c8484bdf5e917c238639776f07837483
https://doi.org/10.1007/s11401-019-0167-z
https://doi.org/10.1007/s11401-019-0167-z
Publikováno v:
Nonlinearity. 32:4346-4376
We study local-time well-posedness and breakdown for solutions of regularized Saint-Venant equations (regularized classical shallow water equations) recently introduced by Clamond and Dutykh. The system is linearly non-dispersive, and smooth solution
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4856609e70c23482ec939fe71cde4cf7
https://doi.org/10.1088/1361-6544/ab2cf1
https://doi.org/10.1088/1361-6544/ab2cf1
Publikováno v:
Journal of Dynamics and Differential Equations
Journal of Dynamics and Differential Equations, In press, ⟨10.1007/s10884-022-10171-0⟩
Journal of Dynamics and Differential Equations, In press, ⟨10.1007/s10884-022-10171-0⟩
Inspired by a recent nondispersive conservative regularisation of the shallow water equations, a similar regularisation is proposed and studied here for the inviscid Burgers equation. The regularised equation is parametrised by a positive number $\el
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4a16e5e28957f8e83c0d642b92b4962b
https://hal.archives-ouvertes.fr/hal-02478872
https://hal.archives-ouvertes.fr/hal-02478872
Publikováno v:
Advances in Applied Probability. 50:504-542
The basis of this paper is the elementary observation that then-step descendant distribution of any Galton–Watson process satisfies a discrete Smoluchowski coagulation equation with multiple coalescence. Using this we obtain simple necessary and su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eb3487282e3b81d63e695434ea9685d8
https://doi.org/10.1017/apr.2018.23
https://doi.org/10.1017/apr.2018.23
Autor:
Robert L. Pego, Ryan Murray
Publikováno v:
Communications in Mathematical Sciences. 15:1685-1702
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::95776a52e75e88d6098a76eb3be9946c
https://doi.org/10.4310/cms.2017.v15.n6.a10
https://doi.org/10.4310/cms.2017.v15.n6.a10
Autor:
Robert L. Pego
Publikováno v:
Nonlinear Dynamics in Partial Differential Equations, S. Ei, S. Kawashima, M. Kimura and T. Mizumachi, eds. (Tokyo: Mathematical Society of Japan, 2015)
For three interesting kinetic models of clustering, we review results on dynamical phenomena related to the approach to self-similar form and their close connections to probability theory. For Smoluchowski's coagulation equation with additive rate ke
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc691b36e2db2446d3741ea44b182131
https://doi.org/10.2969/aspm/06410035
https://doi.org/10.2969/aspm/06410035
In a recent study of certain merging-splitting models of animal-group size (Degond et al., J. Nonl. Sci. 27 (2017) 379), it was shown that an initial size distribution with infinite first moment leads to convergence to zero in weak sense, correspondi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7e7e131936892a650e7eb795202b3cf8