Add to ORKGAbstract: The present paper is dedicated for review of fundamental results obtained in recent years for Vlasov-Wigner equation. Existence and uniqueness theorems of various mixed problems and Cauchy one are formulated. Issue of correct boundary conditions statement for mentioned equation is considered.Note: Research direction:Mathematical problems and theory of numerical method
The derivation of effective equations for interacting many body systems has seen a lot of progress i...
International audienceSolutions to a singular one-dimensional Vlasov equation are obtained as the s...
Schwinger pair creation in a purely time-dependent electric field can be described through a quantum...
Abstract: In the present paper critical phenomena in the quantum system described by Wigne...
Abstract: In the present paper Wigner equation, Vlasov equation for selfconsistent field a...
Abstract: In the present paper algorithm of numerical solving of boundary-value problem fo...
International audienceGlobal existence and uniqueness of a classical solution of the two dimensional...
Abstract: In the present paper the new approach to solution of boudary-value problem for t...
We discuss the derivation of the quantum Liouville equation and the Wigner-Poisson system (or quantu...
We discuss the derivation of the quantum Liouville equation and the Wigner-Poisson system (or quantu...
Abstract: The numerical method of the Wigner quantum kinetic equation solution has been co...
We consider the Vlasov equation in any spatial dimension, which has long been known [ZI76, Mor80, Gi...
AbstractIn this paper, we investigate some uniqueness results for the Vlasov equation with elastic-d...
Halfway between the N body model and the usual hydrodynamic, one the Vlasov equation (supplemented b...
14 pags.The loss of time-translational invariance caused by a time-dependent external agent leads to...
The derivation of effective equations for interacting many body systems has seen a lot of progress i...
International audienceSolutions to a singular one-dimensional Vlasov equation are obtained as the s...
Schwinger pair creation in a purely time-dependent electric field can be described through a quantum...
Abstract: In the present paper critical phenomena in the quantum system described by Wigne...
Abstract: In the present paper Wigner equation, Vlasov equation for selfconsistent field a...
Abstract: In the present paper algorithm of numerical solving of boundary-value problem fo...
International audienceGlobal existence and uniqueness of a classical solution of the two dimensional...
Abstract: In the present paper the new approach to solution of boudary-value problem for t...
We discuss the derivation of the quantum Liouville equation and the Wigner-Poisson system (or quantu...
We discuss the derivation of the quantum Liouville equation and the Wigner-Poisson system (or quantu...
Abstract: The numerical method of the Wigner quantum kinetic equation solution has been co...
We consider the Vlasov equation in any spatial dimension, which has long been known [ZI76, Mor80, Gi...
AbstractIn this paper, we investigate some uniqueness results for the Vlasov equation with elastic-d...
Halfway between the N body model and the usual hydrodynamic, one the Vlasov equation (supplemented b...
14 pags.The loss of time-translational invariance caused by a time-dependent external agent leads to...
The derivation of effective equations for interacting many body systems has seen a lot of progress i...
International audienceSolutions to a singular one-dimensional Vlasov equation are obtained as the s...
Schwinger pair creation in a purely time-dependent electric field can be described through a quantum...