Obstacle problem for a stochastic conservation law and Lewy Stampacchia inequality

Autor: Imran H. Biswas, Yassine Tahraoui, Guy Vallet

Publikováno v: Journal of Mathematical Analysis and Applications. 527:127356

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f41708356eec0f6f21002b3ffa5d0541
https://doi.org/10.1016/j.jmaa.2023.127356

Well-posedness for nonlinear SPDEs with strongly continuous perturbation

Autor: Aleksandra Zimmermann, Guy Vallet

Publikováno v: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Cambridge University Press (CUP), 2021, 151 (1), pp.265-295. ⟨10.1017/prm.2020.13⟩

We consider the well-posedness of a stochastic evolution problem in a bounded Lipschitz domain D ⊂ ℝd with homogeneous Dirichlet boundary conditions and an initial condition in L2(D). The main technical difficulties in proving the result of exist

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5d4243246321acaea75acfc851843348
https://doi.org/10.1017/prm.2020.13

The Cauchy problem for fractional conservation laws driven by Lévy noise

Autor: Neeraj Bhauryal, Guy Vallet, Ujjwal Koley

Publikováno v: Stochastic Processes and their Applications
Stochastic Processes and their Applications, Elsevier, 2020, 130 (9), pp.5310-5365. ⟨10.1016/j.spa.2020.03.009⟩

In this article, we explore some of the main mathematical problems connected to multidimensional fractional conservation laws driven by Levy processes. Making use of an adapted entropy formulation, a result of existence and uniqueness of a solution i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::88f95ff6717276c766d59e23a3e18cee
https://hal.archives-ouvertes.fr/hal-03125104

A global existence and uniqueness result for a stochastic Allen-Cahn equation with constraint

Autor: Frédéric Lebon, Caroline Bauzet, Elena Bonetti, Giovanna Bonfanti, Guy Vallet

Publikováno v: Mathematical Methods in the Applied Sciences. 40:5241-5261

This paper addresses the analysis of a time noise‐driven Allen-Cahn equation modelling the evolution of damage in continuum media in the presence of stochastic dynamics. The nonlinear character of the equation is mainly due to a multivoque maximal

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::479e75ffbca040dc9d51c650bec45b95
https://doi.org/10.1002/mma.4383

Search for transient variations of the fine structure constant and dark matter using fiber-linked optical atomic clocks

Autor: Roman Schwarz, Olivier Lopez, R. M. Godun, J E Calvert, Dan Xu, L De Sarlo, C. Baerentsen, R. Le Targat, Ian R. Hill, Thomas Legero, Jérôme Lodewyck, Nicolas Quintin, Erik Benkler, Guy Vallet, Benjamin Roberts, S. Dörscher, Helen S. Margolis, P. Delva, Alissa Silva, Uwe Sterr, Christine C. Guo, Ch. Lisdat, C. F. A. Baynham, Ekkehard Peik, A. Al-Masoudi, Nils Huntemann, Peter Wolf, Sébastien Bize, H. Alvarez-Martinez, Christian Sanner, Aurélien Hees, T. Waterholter, William B. Bowden, Philip Tuckey, Sebastian Koke, F. Ozimek, R. Lange, Gesine Grosche, Anne Amy-Klein, V. Cambier, Etienne Cantin, F. Meynadier, Chr. Tamm, Maxime Favier, Paul-Eric Pottie, Florian Frank, S. Bilicki, A. Kuhl, J. Kronjäger, Richard Hobson, Burghard Lipphardt, Marco Schioppo, E. A. Curtis, Patrick Gill

Publikováno v: New Journal of Physics
New Journal of Physics, Institute of Physics: Open Access Journals, 2020, 22 (9), pp.093010. ⟨10.1088/1367-2630/abaace⟩
HAL

We search for transient variations of the fine structure constant using data from a European network of fiber-linked optical atomic clocks. By searching for coherent variations in the recorded clock frequency comparisons across the network, we signif

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f3a01e57b76b15f775464c101c2db556
https://hal.archives-ouvertes.fr/hal-02193937