Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Ouyang, Zhimeng"'
For slowly-varying initial data, solutions to the Ablowitz-Ladik system have been proven to converge to solutions of the cubic Schr\"odinger equation. In this paper we show that in the continuum limit, solutions to the Ablowitz-Ladik system with $H^1
Externí odkaz:
http://arxiv.org/abs/2404.02366
We prove the local-in-time well-posedness of the relativistic Vlasov-Maxwell-Landau system in a bounded domain $\Omega$ with the specular reflection condition. Our result covers the case when $\Omega$ is a non-convex domain, e.g., solid torus. To the
Externí odkaz:
http://arxiv.org/abs/2310.07192
Autor:
Ouyang, Zhimeng, Silvestre, Luis
We consider weak solutions of the inhomogeneous non-cutoff Boltzmann equation in a bounded domain with any of the usual physical boundary conditions: in-flow, bounce-back, specular-reflection and diffuse-reflection. When the mass, energy and entropy
Externí odkaz:
http://arxiv.org/abs/2305.02392
Autor:
Ouyang, Zhimeng, Wu, Lei
The rigorous justification of the hydrodynamic limits of kinetic equations in bounded domains has been actively investigated in recent years. In spite of the progress for the diffuse-reflection boundary case, the more challenging in-flow boundary cas
Externí odkaz:
http://arxiv.org/abs/2304.01129
Autor:
Ouyang, Zhimeng
The justification of hydrodynamic limits in non-convex domains has long been an open problem due to the singularity at the grazing set. In this paper, we investigate the unsteady neutron transport equation in a general bounded domain with the in-flow
Externí odkaz:
http://arxiv.org/abs/2303.15424
The relativistic Vlasov-Maxwell-Landau (r-VML) system and the relativistic Landau equation (r-LAN) are fundamental models that describe the dynamics of an electron gas. In this paper, we introduce a novel weighted energy method and establish the vali
Externí odkaz:
http://arxiv.org/abs/2207.00126
We show that solutions to the Ablowitz--Ladik system converge to solutions of the cubic nonlinear Schr\"odinger equation for merely $L^2$ initial data. Furthermore, we consider initial data for this lattice model that excites Fourier modes near both
Externí odkaz:
http://arxiv.org/abs/2206.02720
Autor:
Li, Li, Ouyang, Zhimeng
We consider an inverse problem for the nonlinear Boltzmann equation near the equilibrium. Our goal is to determine the collision kernel in the Boltzmann equation from the knowledge of the Albedo operator. Our approach relies on a linearization techni
Externí odkaz:
http://arxiv.org/abs/2205.06387
In this paper, we study the local-in-time validity of the Hilbert expansion for the relativistic Landau equation. We justify that solutions of the relativistic Landau equation converge to small classical solutions of the limiting relativistic Euler e
Externí odkaz:
http://arxiv.org/abs/2205.01483
Autor:
Ouyang, Zhimeng, Wu, Lei
We consider the non-relativistic quantum Boltzmann equation for fermions and bosons. Using the nonlinear energy method and mild formulation, we justify the global well-posedness when the density function is near the global Maxwellian and vacuum. This
Externí odkaz:
http://arxiv.org/abs/2102.00657