Add to ORKGAbstract. This paper is concerned with the Cauchy problem on the Vlasov-Poisson-Boltzmann system for hard potentials in the whole space. When the initial data is a small perturbation of a global Maxwellian, a satisfactory global existence theory of classical solutions to this problem, together with the cor-responding temporal decay estimates on the global solutions, are established. Our analysis is based on time-decay properties of solutions and a new time-velocity weight function which is designed to control the large-velocity growt
The pointwise space-time behavior of the Green's function of the one-dimensional Vlasov-Maxwell-Bolt...
Based on a refined energy method, in this paper we prove the global existence and uniform-in-time st...
Abstract. We prove that the solution of the Vlasov-Fokker-Planck equation converges to the unique st...
AbstractThis paper is concerned with the Cauchy problem on the Vlasov–Poisson–Boltzmann system for h...
Abstract. In this paper, we study the Cauchy problem for the Boltzmann equation with an external for...
Based on the global existence theory of the Vlasov-Poisson-Boltzmann system around vacuum in the N-d...
In this paper we study the large-time behavior of classical solutions to the two-species Vlasov-Maxw...
When dilute charged particles are confined in a bounded domain, boundary effects are crucial in the ...
When dilute charged particles are confined in a bounded domain, boundary effects are crucial in the ...
An important physical model describing the dynamics of dilute weakly ionized plas-mas in the collisi...
Abstract. Since the work [13] by Guo [Invent. Math. 153 (2003), no. 3, 593–630], how to establish th...
AbstractWe construct global-in-time classical solutions to the Cauchy problem for the 2-species Vlas...
We clea.l with the long time of the Vlassov-Poisson-Boltzmann system. We present some results on the...
AbstractThe dynamics of dilute electrons and plasma can be modeled by Vlasov–Poisson–Boltzmann equat...
In this paper, we study the existence of stationary solutions to the Vlasov-Poisson-Boltzmann system...
The pointwise space-time behavior of the Green's function of the one-dimensional Vlasov-Maxwell-Bolt...
Based on a refined energy method, in this paper we prove the global existence and uniform-in-time st...
Abstract. We prove that the solution of the Vlasov-Fokker-Planck equation converges to the unique st...
AbstractThis paper is concerned with the Cauchy problem on the Vlasov–Poisson–Boltzmann system for h...
Abstract. In this paper, we study the Cauchy problem for the Boltzmann equation with an external for...
Based on the global existence theory of the Vlasov-Poisson-Boltzmann system around vacuum in the N-d...
In this paper we study the large-time behavior of classical solutions to the two-species Vlasov-Maxw...
When dilute charged particles are confined in a bounded domain, boundary effects are crucial in the ...
When dilute charged particles are confined in a bounded domain, boundary effects are crucial in the ...
An important physical model describing the dynamics of dilute weakly ionized plas-mas in the collisi...
Abstract. Since the work [13] by Guo [Invent. Math. 153 (2003), no. 3, 593–630], how to establish th...
AbstractWe construct global-in-time classical solutions to the Cauchy problem for the 2-species Vlas...
We clea.l with the long time of the Vlassov-Poisson-Boltzmann system. We present some results on the...
AbstractThe dynamics of dilute electrons and plasma can be modeled by Vlasov–Poisson–Boltzmann equat...
In this paper, we study the existence of stationary solutions to the Vlasov-Poisson-Boltzmann system...
The pointwise space-time behavior of the Green's function of the one-dimensional Vlasov-Maxwell-Bolt...
Based on a refined energy method, in this paper we prove the global existence and uniform-in-time st...
Abstract. We prove that the solution of the Vlasov-Fokker-Planck equation converges to the unique st...