Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Paul André Razafimandimby"'
Publikováno v:
Quantum and Stochastic Mathematical Physics ISBN: 9783031140303
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3a1fcaad751a7ee0e75d7beaa1faacbc
https://doi.org/10.1007/978-3-031-14031-0_12
https://doi.org/10.1007/978-3-031-14031-0_12
Publikováno v:
Journal of Evolution Equations. 21:3891-3961
In this paper we consider the 2D Ericksen–Leslie equations which describe the hydrodynamics of nematic liquid crystal with external body forces and anisotropic energy modeling the energy of applied external control such as magnetic or electric fiel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::693fba84688a6036f73e5c3e27673d63
https://doi.org/10.1007/s00028-021-00710-5
https://doi.org/10.1007/s00028-021-00710-5
Publikováno v:
Indiana University Mathematics Journal. 70:2177-2235
In this paper, we prove the existence of a unique maximal local strong solutions to a stochastic system for both 2D and 3D penalised nematic liquid crystals driven by multiplicative Gaussian noise. In the 2D case, we show that this solution is global
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7ebcbe9fbb11b2eae6d34770bf8aedd7
https://doi.org/10.1512/iumj.2021.70.8678
https://doi.org/10.1512/iumj.2021.70.8678
Publikováno v:
Stochastic Processes and their Applications. 130:4174-4205
In this article we are interested in the regularity properties of the probability measure induced by the solution process by a Levy process or a fractional Brownian motion driven Navier–Stokes equations on the two-dimensional torus T . We mainly in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f79f673a1141c2322cccd26c48e229c3
https://doi.org/10.1016/j.spa.2019.12.001
https://doi.org/10.1016/j.spa.2019.12.001
Publikováno v:
Journal of Mathematical Analysis and Applications. 474:1404-1440
In this paper we study a stochastic magnetohydrodynamics (MHD) system with fractional diffusion and resistivity ( − Δ ) α , α > 0 , in R d , d = 2 , 3 . Our main goal is to identify the conditions on α under which we can prove the existence of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4a87bbc7ea3c2311da8677818f5b946b
https://doi.org/10.1016/j.jmaa.2019.02.026
https://doi.org/10.1016/j.jmaa.2019.02.026
Publikováno v:
Journal of Computational and Applied Mathematics. 343:250-274
The present paper is devoted to the numerical approximation of an abstract stochastic nonlinear evolution equation in a separable Hilbert space {$\mathrm{H}$}. Examples of equations which fall into our framework include the GOY and Sabra shell models
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8678da59ae53a015d20ee4f7acbbef0
https://doi.org/10.1016/j.cam.2018.04.067
https://doi.org/10.1016/j.cam.2018.04.067
Autor:
Paul André Razafimandimby
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 197:1547-1583
In this paper, we study a grade-two fluid driven by multiplicative Gaussian noise. Under appropriate assumptions on the initial condition and the noise, we prove a large and moderate deviations principle in the space $$C([0,T]; {\mathbf {H}}^{m})$$ ,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3764cc7a57e0faf624af13ed3078c09f
https://doi.org/10.1007/s10231-018-0737-9
https://doi.org/10.1007/s10231-018-0737-9
Publikováno v:
Potential Analysis. 49:131-201
We establish the existence of weak martingale solutions to a class of second order parabolic stochastic partial differential equations. The equations are driven by multiplicative jump type noise, with a non-Lipschitz multiplicative functional. The dr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::21faf1d3b2c60dfa482450e08d9edcb5
https://doi.org/10.1007/s11118-017-9651-9
https://doi.org/10.1007/s11118-017-9651-9
Autor:
Paul André Razafimandimby
Publikováno v:
Journal of Differential Equations. 263:3027-3089
The author presented a lecture on the subject of this paper at the Workshop on Numerics for Stochastic Partial Differential Equations and their Applications held at the Johann Radon Institute for Computational and Applied Mathematics (RICAM), Linz, A
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::33e8c5408a3af8d270731251846c66f7
https://doi.org/10.1016/j.jde.2017.04.022
https://doi.org/10.1016/j.jde.2017.04.022
Publikováno v:
Discrete and Continuous Dynamical Systems - Series B. 21:1051-1077
The main goal of this paper is to generalize to Banach spaces the well-known results for diffusions on Hilbert spaces obtained in [Peszat, S. and Zabczyk, J. (1995). Strong Feller property and irreducibility for diffusions on Hilbert spaces. Ann. Pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::591020919624c28d1adc22d69d0564b0
https://doi.org/10.3934/dcdsb.2016.21.1051
https://doi.org/10.3934/dcdsb.2016.21.1051