Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Maria G, Reznikoff"'
Autor:
Maria G. Reznikoff, Felix Otto
Publikováno v:
Journal of Differential Equations. 237:372-420
We present sufficient conditions on an energy landscape in order for the associated gradient flow to exhibit slow motion or “dynamic metastability.” The first condition is a weak form of convexity transverse to the so-called slow manifold, N . Th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b5b43d2087e7883a27c75894da024dd
https://doi.org/10.1016/j.jde.2007.03.007
https://doi.org/10.1016/j.jde.2007.03.007
Autor:
Maria G. Reznikoff, Felix Otto
Publikováno v:
Journal of Functional Analysis. 243(1):121-157
We give a criterion for the logarithmic Sobolev inequality (LSI) on the product space X 1 × ⋯ × X N . We have in mind an N-site lattice, unbounded continuous spin variables, and Glauber dynamics. The interactions are described by the Hamiltonian
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::faac493a34f1ed7a730b9bb18e060222
Publikováno v:
Communications on Pure and Applied Mathematics. 60:393-438
We study the action minimization problem which is formally associated to phase transformation in the stochastically perturbed Allen-Cahn equation. The sharp-interface limit is related to (but di erent from) the sharp-interface limits of the related e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::67c9c37c1af761dddda79e7c0926ceca
https://doi.org/10.1002/cpa.20144
https://doi.org/10.1002/cpa.20144
Publikováno v:
Journal of Nonlinear Science. 15:223-253
We investigate thermally activated phenomena in micromagnetics using large deviation theory and concepts from stochastic resonance. We give a natural mathematical definition of finite-temperature astroids, finite-temperature hysteresis loops, etc. Ge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7a8f93ec6dfc70c57cd1171f8fc01a9d
https://doi.org/10.1007/s00332-005-0671-z
https://doi.org/10.1007/s00332-005-0671-z
Publikováno v:
Comptes Rendus Mathematique. 340:305-308
This work establishes and exploits a connection between the invariant measure of stochastic partial differential equations (SPDEs) and the law of bridge processes. Namely, it is shown that the invariant measure of ut = uxx + f( u)+ √ 2 eη (x, t),
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f56caa944629d74679cb4bdb7db44466
https://doi.org/10.1016/j.crma.2004.12.025
https://doi.org/10.1016/j.crma.2004.12.025
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
http://hdl.handle.net/2115/69510
Publikováno v:
Journal of Fluid Mechanics. 560:229
For the infinite-Prandtl-number limit of the Boussinesq equations, the enhancement of vertical heat transport in Rayleigh-Benard convection, the Nusselt number Nu, is bounded above in terms of the Rayleigh number Ra according to Nu≤0.644× Ra 1/3 [
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::563bffe19fdd1d267d5abba31d8d282d
https://doi.org/10.1017/s0022112006000097
https://doi.org/10.1017/s0022112006000097