Generation of chaotic dynamics and local equilibrium for the Carleman equation

DOI10.1007/s10958-017-3449-6zbMath1373.37099OpenAlexW2609213600MaRDI QIDQ2405023

E. V. Radkevich, O. A. Vasil'eva

Publication date: 21 September 2017

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

Full work available at URL: https://doi.org/10.1007/s10958-017-3449-6

zbMATH Keywords

Cauchy problemCarleman equation

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Initial value problems for systems of nonlinear first-order PDEs (35F55)

Cites Work

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• The Bloch principle for \(L_2(R)\) stabilization of solutions to the Cauchy problem for the Carleman equation
• On the large-time behavior of solutions to the Cauchy problem for a \(2\)-dimensional discrete kinetic equation
• Local equilibrium of the Carleman equation
• On Asymptotic Stability of Solitary Waves in Schrödinger Equation Coupled to Nonlinear Oscillator
• Study of rarefied shear flow by the discrete velocity method