Blow-up dynamic of solution to the semilinear Moore-Gibson-Thompson equation with memory terms

Autor: Sen Ming, Xiongmei Fan, Cui Ren, Yeqin Su

Publikováno v: AIMS Mathematics, Vol 8, Iss 2, Pp 4630-4644 (2023)

This article is mainly concerned with the formation of singularity for a solution to the Cauchy problem of the semilinear Moore-Gibson-Thompson equation with general initial values and different types of nonlinear memory terms $ N_{\gamma, \, q}(u) $

Externí odkaz: https://doaj.org/article/638cc618d49b4a1d8622c58c58dfe3c1

Exponential growth of solution for a couple of semi-linear pseudo-parabolic equations with memory and source terms

Autor: Amar OUAOUA, Wissem BOUGHAMSA

Publikováno v: Journal of Innovative Applied Mathematics and Computational Sciences, Vol 2, Iss 1 (2022)

This work is concerned with coupled semi-linear pseudo-parabolic equations with memory terms in both equations, associated with the homogeneous Dirichlet boundary condition. We show that the solution grows exponentially under specific conditions rega

Externí odkaz: https://doaj.org/article/03e446e7c7b54ee6a8dbb014c8b6c28f

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Two-dimensional Lorentz process for magnetotransport: Boltzmann-Grad limit

Autor: Nota, Alessia, Saffirio, Chiara, Simonella, Sergio

Publikováno v: Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2022, 58 (2), pp.1228-1243
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institut Henri Poincaré (IHP), In press

We study a system of charged, noninteracting classical particles moving in a Poisson distribution of hard-disk scatterers in two dimensions, under the effect of a magnetic field perpendicular to the plane. We prove that, in the low-density (Boltzmann

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f19dc06bf5ad3bdce09c6386b92c8bc7
https://hal.science/hal-02965043v2/file/NSS_BoltMagnetic.pdf

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