Borovchenkova M. On evolution equations of systems of particles with dissipative interaction

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0415U000973

Thesis Registration Form

0415U000973.pdf

Applicant for

Specialization

  • 01.01.03 - Математична фізика

07-04-2015

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

In the thesis the hierarchies, that describe the evolution of observables and states of granular gases, are constructed and their equivalence is proven. The existence theorem of a solution of the Cauchy problem of the non-Markovian Enskog kinetic equation is proven and scaling properties of this solution are investigated. The non-Markovian Enskog kinetic equation for a one-dimensional hard sphere system with the inelastic collision is constructed and its properties are described in scaling limits.

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Files

aref.pdf

dis.pdf

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