Zobrazeno 1 - 10
of 95 897
pro vyhledávání: '"KINETIC-EQUATION"'
Publikováno v:
Physica B: Condensed Matter, Volume 673, 15, January 2024, 415497
General analytic expressions for the total absorption coefficient of strong electromagnetic waves caused by confined electrons in Infinite semi-parabolic plus Semi-inverse Squared Quantum Wells (ISPSISQW) are obtained by using the quantum kinetic equ
Externí odkaz:
http://arxiv.org/abs/2412.18245
Publikováno v:
J. Phys. Soc. Jpn. 92, 064401 (2023)
Based on the quantum kinetic equation for electrons, we theoretically study the quantum multi-photon non-linear absorption of a strong electromagnetic wave (EMW) in two-dimensional graphene. Two cases of the electron scattering mechanism are consider
Externí odkaz:
http://arxiv.org/abs/2412.15638
This work addresses an optimal control problem constrained by a degenerate kinetic equation of parabolic-hyperbolic type. Using a hypocoercivity framework we establish the well-posedness of the problem and demonstrate that the optimal solutions exhib
Externí odkaz:
http://arxiv.org/abs/2412.10747
We consider the nonlinear Voltage-Conductance kinetic equation arising in neuroscience. We establish the existence of solutions in a weighted $L^\infty$ framework in a weak interaction regime. We also prove the linear asymptotic exponential stability
Externí odkaz:
http://arxiv.org/abs/2408.02471
Inspired by ideas stemming from the analysis of the Boltzmann equation, in this paper we expand well-posedness theory of the spatially inhomogeneous 4-wave kinetic equation, and also analyze an infinite hierarchy of PDE associated with this nonlinear
Externí odkaz:
http://arxiv.org/abs/2405.03984
Autor:
Zhang, Haoxuan1,2 (AUTHOR), Liu, Jintong3 (AUTHOR), Zhang, Congfa3 (AUTHOR), Li, Hongfu4 (AUTHOR) lihongfu@ustb.edu.cn, Yue, Guangquan1,2 (AUTHOR), Sun, Baozhong2 (AUTHOR) lihongfu@ustb.edu.cn, He, Boyan5 (AUTHOR)
Publikováno v:
Materials (1996-1944). Nov2024, Vol. 17 Issue 22, p5592. 12p.
Autor:
Escobedo, Miguel, Menegaki, Angeliki
We consider the singular Rayleigh-Jeans equilibrium of the $4$-waves kinetic turbulence equation for the three dimensional Schr\"{o}dinger equation. We first show the formation in finite time of a Dirac measure at zero frequency in the solution of th
Externí odkaz:
http://arxiv.org/abs/2406.05280
Publikováno v:
Известия Саратовского университета. Новая серия Серия: Физика, Vol 24, Iss 3, Pp 198-208 (2024)
Background and Objectives: Progress in the development of pulsed radiation sources with high energy density makes it possible to study the nonlinear response of condensed matter to the disturbing influence of high-intensity electromagnetic fields. To
Externí odkaz:
https://doaj.org/article/c81e338cf95748239179c73ff83d7800
Autor:
Michele Dolce, Ricardo Grande
Publikováno v:
Mathematics in Engineering, Vol 6, Iss 4, Pp 536-558 (2024)
In this paper, we consider the long-term behavior of some special solutions to the Wave Kinetic Equation. This equation provides a mesoscopic description of wave systems interacting nonlinearly via the cubic NLS equation. Escobedo and Velázquez show
Externí odkaz:
https://doaj.org/article/54b21e75881d4289836d01e948413a2b
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