Zobrazeno 1 - 10
of 101 103
pro vyhledávání: '"Maxwell-equations"'
Autor:
Pu, Zhigang, Xu, Kun
In this paper, we present a gas-kinetic scheme using discrete velocity space to solve Maxwell equations. The kinetic model recovers Maxwell equations in the zero relaxation time limit. The scheme achieves second-order spatial and temporal accuracy in
Externí odkaz:
http://arxiv.org/abs/2412.16845
Autor:
Margenberg, Nils, Bause, Markus
This paper presents a mathematical foundation for physical models in nonlinear optics through the lens of evolutionary equations. It focuses on two key concepts: well-posedness and exponential stability of Maxwell equations, with models that include
Externí odkaz:
http://arxiv.org/abs/2412.05468
Autor:
Wang, Cong, Su, Jiabao
In this paper, we focus on (no)existence and asymptotic behavior of solutions for the double critical Maxwell equation involving with the Hardy, Hardy-Sobolev, Sobolev critical exponents. The existence and noexistence of solutions completely depend o
Externí odkaz:
http://arxiv.org/abs/2411.13894
Autor:
Leopold, Nikolai
We study the spinless Pauli-Fierz Hamiltonian in a semiclassical mean-field limit of many fermions. For appropriate initial conditions, we prove, in the trace norm topology of reduced density matrices, that the many-body quantum state converges to a
Externí odkaz:
http://arxiv.org/abs/2411.07085