Maximizing Simulated Tropical Cyclone Intensity With Action Minimization

Autor: David A. Plotkin, Robert J. Webber, Morgan E O'Neill, Jonathan Weare, Dorian S. Abbot

Publikováno v: Journal of Advances in Modeling Earth Systems, Vol 11, Iss 4, Pp 863-891 (2019)

Abstract Direct computer simulation of intense tropical cyclones (TCs) in weather models is limited by computational expense. Intense TCs are rare and have small‐scale structures, making it difficult to produce large ensembles of storms at high res

Externí odkaz: https://doaj.org/article/4c906018a1454c919618ef26e8a67473

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Higher Multiplicity in the One-Dimensional Allen-Cahn Action Functional

Autor: Reznikoff, Maria G, Tonegawa, Yoshihiro

Publikováno v: Hokkaido University Preprint Series in Mathematics. 821:1-55

We prove the ¡-convergence of the Allen-Cahn action functional in the sharp-interface limit. In previous work, good lower bounds were developed under the assumption of single-multiplicity, but the bounds deteriorated in the case of higher-multiplici

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::f617dc5a008f62c3848139b9ac641404
http://hdl.handle.net/2115/69629

The sharp-interface limit of the action functional for Allen-Cahn in one space dimension

Autor: Kohn, Robert V., Maria G, Reznikoff, Tonegawa, Yoshihiro

Publikováno v: Hokkaido University Preprint Series in Mathematics. 705:1-38

We analyze the sharp-interface limit of the action minimization problem for the stochastically perturbed Allen-Cahn equation in one space dimension. The action is a deterministic functional which is linked to the behavior of the stochastic process in

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::ec88e4dd8c180c4e29ce3355ff841fb6
http://hdl.handle.net/2115/69510

Unchained polygons and the N-body problem

Autor: Jacques Féjoz, Alain Chenciner

Publikováno v: Regular and Chaotic Dynamics
Regular and Chaotic Dynamics, MAIK Nauka/Interperiodica, 2009, 14 (1), pp.64-115
Regular and Chaotic Dynamics, 2009, 14 (1), pp.64-115
Regular and Chaotic Dynamics, 2009, 14, pp.64-115. ⟨10.1134/S1560354709010079⟩

International audience; We study both theoretically and numerically the Lyapunov families which bifurcate in the vertical direction from a horizontal relative equilibrium in R3. As explained in [1], very symmetric relative equilibria thus give rise t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a65061a82e3a7686172fffc59c2519e7
https://hal.archives-ouvertes.fr/hal-00292885v3/file/unchainedPolygons.pdf