Zobrazeno 1 - 10
of 11
pro vyhledávání: '"James-Michael Leahy"'
Publikováno v:
Journal of Statistical Physics. 179:1304-1342
We formulate a class of stochastic partial differential equations based on Kelvin’s circulation theorem for ideal fluids. In these models, the velocity field is randomly transported by white-noise vector fields, as well as by its own average over r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::372af97ca3c1c8eb05eae3c8fea159a6
https://doi.org/10.1007/s10955-020-02493-4
https://doi.org/10.1007/s10955-020-02493-4
Publikováno v:
Journal of Functional Analysis
The present paper aims to establish the local well-posedness of Euler's fluid equations on geometric rough paths. In particular, we consider the Euler equations for the incompressible flow of an ideal fluid whose Lagrangian transport velocity possess
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d04c470513b7e90b5a77d56e501d1ca0
http://arxiv.org/abs/2104.14933
http://arxiv.org/abs/2104.14933
Publikováno v:
Advances in Mathematics
In this paper, we introduce a new framework for parametrization schemes (PS) in GFD. Using the theory of controlled rough paths, we derive a class of rough geophysical fluid dynamics (RGFD) models as critical points of rough action functionals. These
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc85b27fb1331a46e3132e76b4956ac8
http://arxiv.org/abs/2004.07829
http://arxiv.org/abs/2004.07829
We introduce a rough perturbation of the Navier-Stokes system and justify its physical relevance from balance of momentum and conservation of circulation in the inviscid limit. We present a framework for a well-posedness analysis of the system. In pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f399a28412479a98e60ed62e38e49769
Autor:
James-Michael Leahy, R. Mikulevicius
Publikováno v:
Stochastics and Partial Differential Equations: Analysis and Computations. 4:535-591
We prove the existence of classical solutions to parabolic linear stochastic integro-differential equations with adapted coefficients using Feynman-Kac transformations, conditioning, and the interlacing of space-inverses of stochastic flows associate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d45809b67fb3990102a1e550771f7b5
https://doi.org/10.1007/s40072-016-0070-5
https://doi.org/10.1007/s40072-016-0070-5
We consider the Navier–Stokes system in two and three space dimensions perturbed by transport noise and subject to periodic boundary conditions. The noise arises from perturbing the advecting velocity field by space–time-dependent noise that is s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b78bd5344fe418b3c2640eb8c72bdd3
https://pub.uni-bielefeld.de/record/2933261
https://pub.uni-bielefeld.de/record/2933261
Autor:
James-Michael Leahy, R. Mikulevicius
We derive moment estimates and a strong limit theorem for space inverses of stochastic flows generated by jump SDEs with adapted coefficients in weighted H\"older norms using the Sobolev embedding theorem and the change of variable formula. As an app
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ba874b51f53da9aaa8436e14a0cb5de5
http://arxiv.org/abs/1411.6277
http://arxiv.org/abs/1411.6277
Autor:
James-Michael Leahy, R. Mikulevicius
We prove the existence and uniqueness of solutions of degenerate linear stochastic evolution equations driven by jump processes in a Hilbert scale using the variational framework of stochastic evolution equations and the method of vanishing viscosity
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::614eae6ea26cbecfa9ef7532e39b1f20
http://arxiv.org/abs/1406.4541
http://arxiv.org/abs/1406.4541
We study the rate of convergence of an explicit and an implicit–explicit finite difference scheme for linear stochastic integro-differential equations of parabolic type arising in non-linear filtering of jump–diffusion processes. We show that the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a679f32394b599819fdf9f3e0272afe
Publikováno v:
Journal of Chemical Education. 83:1531
Two polymer–plastics experiments were developed for upper-level chemistry laboratories. In the first experiment, students prepare plasticized biopolymer films from aqueous solution and measure the dependence of mechanical properties on chemical com
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5795b317fd16c1a7e94aa7723b439b22
https://doi.org/10.1021/ed083p1531
https://doi.org/10.1021/ed083p1531