Cauchy Problem for the BBGKY Hierarchy

2002 ◽  
pp. 55-90
Keyword(s):  
Cauchy Problem ◽  
Bbgky Hierarchy

The Cauchy problem for BBGKY hierarchy of quantum kinetic equations with coulomb potential

2009 ◽  
Author(s):  
M. Brokate ◽  
M. Yu. Rasulova ◽  
A. H. Siddiqi ◽  
M. Brokate ◽  
A. K. Gupta
Keyword(s):  
Cauchy Problem ◽  
Coulomb Potential ◽  
Kinetic Equations ◽  
Bbgky Hierarchy ◽  
The Cauchy Problem

scholarly journals The generalized kinetic equation for symmetric particle systems

2012 ◽  
Vol 110 (1) ◽  
pp. 140
Author(s):  
Halyna M. Hubal
Keyword(s):  
Cauchy Problem ◽  
Kinetic Equation ◽  
Pair Potential ◽  
Bbgky Hierarchy ◽  
Particle Systems ◽  
Symmetric System ◽  
The Cauchy Problem ◽  
Generalized Kinetic Equation ◽  
Many Particles

The generalized kinetic equation is obtained for symmetric system of many particles interacting via a pair potential. A representation of a solution of the Cauchy problem for the BBGKY hierarchy is used in the form of an expansion over particle groups whose evolution is governed by the cumulants (semi-invariants).

Cauchy Problem for Equations with Fractional Differentiation Bessel Operator in the Space of Temperate Distributions

2003 ◽  
Vol 8 (1) ◽  
pp. 61-75
Author(s):  
V. Litovchenko
Keyword(s):  
Functional Analysis ◽  
Cauchy Problem ◽  
Fundamental Solution ◽  
Initial Function ◽  
Well Posedness ◽  
Fractional Differentiation ◽  
Basic Tool ◽  
Conjugate Space ◽  
Analysis Technique ◽  
The Cauchy Problem

The well-posedness of the Cauchy problem, mentioned in title, is studied. The main result means that the solution of this problem is usual C∞ - function on the space argument, if the initial function is a real functional on the conjugate space to the space, containing the fundamental solution of the corresponding problem. The basic tool for the proof is the functional analysis technique.

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