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pro vyhledávání: '"lemarie, A"'
Autor:
Lemarié, Valentin
We study the well-posedness of the primitive equations for the ocean and atmosphere on two particular domains : a bounded domain $\Omega_1 := (-1, 1)^3$ with periodic boundary conditions and the strip $\Omega_2 := \mathbb{R}^2 \times (-1, 1)$ with a
Externí odkaz:
http://arxiv.org/abs/2406.01104
Publikováno v:
Phys. Rev. B 110, 014210 (2024)
Due to their analytical tractability, random matrix ensembles serve as robust platforms for exploring exotic phenomena in systems that are computationally demanding. Building on a companion letter [arXiv:2312.17481], this paper investigates two rando
Externí odkaz:
http://arxiv.org/abs/2405.10975
We construct non-trivial steady solutions in $H^{-1}$ for the 2D Navier-Stokes equations on the torus. In particular, the solutions are not square integrable, so that we have to redefine the notion of solutions.
Externí odkaz:
http://arxiv.org/abs/2402.07534
Through a combination of rigorous analytical derivations and extensive numerical simulations, this work reports an exotic multifractal behavior, dubbed "logarithmic multifractality", in effectively infinite-dimensional systems undergoing the Anderson
Externí odkaz:
http://arxiv.org/abs/2312.17481
Autor:
Chakrabarti, Ankita, Laflorencie, Nicolas, Georgeot, Bertrand, Martins, Cyril, Lemarié, Gabriel
Interacting fermions in the presence of disorder pose one of the most challenging problems in condensed matter physics, primarily due to the absence of accurate numerical tools. Our investigation delves into the intricate interplay between interactio
Externí odkaz:
http://arxiv.org/abs/2312.09247
Publikováno v:
European Journal of Marketing, 2023, Vol. 58, Issue 7, pp. 1681-1690.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/EJM-06-2023-0454
Autor:
Lemarié, Valentin
Publikováno v:
Tunisian J. Math. 6 (2024) 503-542
We study on the whole space R d the compressible Euler system with damping coupled to the Poisson equation when the damping coefficient tends towards infinity. We first prove a result of global existence for the Euler-Poisson system in the case where
Externí odkaz:
http://arxiv.org/abs/2307.05981
Publikováno v:
Phys. Rev. E 108, 054127 (2023)
Long-range hoppings in quantum disordered systems are known to yield quantum multifractality, whose features can go beyond the characteristic properties associated with an Anderson transition. Indeed, critical dynamics of long-range quantum systems c
Externí odkaz:
http://arxiv.org/abs/2307.00999
Publikováno v:
Phys. Rev. Lett. 132, 046301 (2024)
We identify the key features of Kardar-Parisi-Zhang universality class in the fluctuations of the wave density logarithm, in a two-dimensional Anderson localized wave packet. In our numerical analysis, the fluctuations are found to exhibit an algebra
Externí odkaz:
http://arxiv.org/abs/2306.08272
We discuss the Navier-Stokes equations with forces in the mixed norm time-space parabolic Morrey spaces of Krylov.
Externí odkaz:
http://arxiv.org/abs/2306.01360