Abstract. Since the work [13] by Guo [Invent. Math. 153 (2003), no. 3, 593–630], how to establish the global existence of perturbative classical solutions around a global Maxwellian to the Vlasov-Maxwell-Boltzmann system with the whole range of soft potentials has been an open problem. This is mainly due to the complex structure of the system, in particular, the degenerate dissipation at large velocity, the velocity-growth of the nonlinear term induced by the Lorentz force, and the regularity-loss of the electromagnetic fields. This paper aims to resolve this problem in the whole space provided that initial perturbation has sufficient regularity and velocity-integrability
We prove the existence and uniqueness of global solutions to the Boltzmann equation with non-cutoff ...
The purpose of this paper is twofold. In the first part, we provide a new proof of the global existe...
We prove the existence and uniqueness of global solutions to the Boltzmann equation with non-cutoff ...
AbstractThis paper is concerned with the Cauchy problem on the Vlasov–Poisson–Boltzmann system for h...
Abstract. This paper is concerned with the Cauchy problem on the Vlasov-Poisson-Boltzmann system for...
In this paper we study the large-time behavior of classical solutions to the two-species Vlasov-Maxw...
Abstract. In this paper we discuss the dissipative property of near-equilibrium classical solutions ...
The Boltzmann equation with external force describes the time evolution of rarefied gas in an extern...
Two fundamental models in plasma physics are given by the Vlasov-Maxwell-Boltzmann system and the co...
Abstract. The motion of a fully ionized plasma of electrons and ions is gen-erally governed by the V...
AbstractThe dynamics of dilute electrons and plasma can be modeled by Vlasov–Poisson–Boltzmann equat...
AbstractWe construct global-in-time classical solutions to the Cauchy problem for the 2-species Vlas...
We prove the existence and uniqueness of global solutions to the Boltzmann equation with non-cutoff ...
The purpose of this paper is twofold. In the first part, we provide a new proof of the global existe...
We prove the existence and uniqueness of global solutions to the Boltzmann equation with non-cutoff ...
We prove the existence and uniqueness of global solutions to the Boltzmann equation with non-cutoff ...
The purpose of this paper is twofold. In the first part, we provide a new proof of the global existe...
We prove the existence and uniqueness of global solutions to the Boltzmann equation with non-cutoff ...
AbstractThis paper is concerned with the Cauchy problem on the Vlasov–Poisson–Boltzmann system for h...
Abstract. This paper is concerned with the Cauchy problem on the Vlasov-Poisson-Boltzmann system for...
In this paper we study the large-time behavior of classical solutions to the two-species Vlasov-Maxw...
Abstract. In this paper we discuss the dissipative property of near-equilibrium classical solutions ...
The Boltzmann equation with external force describes the time evolution of rarefied gas in an extern...
Two fundamental models in plasma physics are given by the Vlasov-Maxwell-Boltzmann system and the co...
Abstract. The motion of a fully ionized plasma of electrons and ions is gen-erally governed by the V...
AbstractThe dynamics of dilute electrons and plasma can be modeled by Vlasov–Poisson–Boltzmann equat...
AbstractWe construct global-in-time classical solutions to the Cauchy problem for the 2-species Vlas...
We prove the existence and uniqueness of global solutions to the Boltzmann equation with non-cutoff ...
The purpose of this paper is twofold. In the first part, we provide a new proof of the global existe...
We prove the existence and uniqueness of global solutions to the Boltzmann equation with non-cutoff ...
We prove the existence and uniqueness of global solutions to the Boltzmann equation with non-cutoff ...
The purpose of this paper is twofold. In the first part, we provide a new proof of the global existe...
We prove the existence and uniqueness of global solutions to the Boltzmann equation with non-cutoff ...