On the large-time behavior of solutions to the Cauchy problem for a \(2\)-dimensional discrete kinetic equation

DOI10.1007/s10958-014-2074-xzbMath1312.82017OpenAlexW1990382415MaRDI QIDQ2258278

E. V. Radkevich

Publication date: 3 March 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-014-2074-x

zbMATH Keywords

Cauchy problemkinetic Boltzmann equationdiscrete equation of kinetics

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (10)

New exact solutions for the time fractional Broadwell system ⋮ Generation of chaotic dynamics and local equilibrium for the Carleman equation ⋮ New exact solutions for the two-dimensional Broadwell system ⋮ A self-similar solution for the two-dimensional Broadwell system via the Bateman equation ⋮ The Bloch principle for \(L_2(R)\) stabilization of solutions to the Cauchy problem for the Carleman equation ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Local equilibrium of the Carleman equation ⋮ Unnamed Item

Cites Work

• Unnamed Item
• On nonexistence of dissipative estimates for discrete kinetic equations
• The existence of global solutions to the Cauchy problem for discrete kinetic equations
• The existence of global solutions to the Cauchy problem for discrete kinetic equations. II
• On the regularization mechanism for the periodic Korteweg-de Vries equation
• Mathematical aspects of the Maxwell problem
• Hyperbolic conservation laws with stiff relaxation terms and entropy
• Study of rarefied shear flow by the discrete velocity method
• ON DISCRETE MODELS OF THE KINETIC BOLTZMANN EQUATION

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