LARGE-TIME BEHAVIOR OF DISCRETE KINETIC EQUATIONS WITH NON-SYMMETRIC INTERACTIONS

DOI10.1142/S0218202502002239zbMath1033.35072OpenAlexW4235414942MaRDI QIDQ4798946

Anton Arnold, Moulay D. Tidriri, José Antonio Carrillo

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202502002239

zbMATH Keywords

Fokker-Planck equationWigner equationtime-independent inflow boundary data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Initial-boundary value problems for first-order hyperbolic systems (35L50) Applications of boundary value problems involving ordinary differential equations (34B60)

Related Items (3)

Large time convergence of the non-homogeneous Goldstein-Taylor equation ⋮ The structure of well-balanced schemes for Friedrichs systems with linear relaxation ⋮ On the exponential time-decay for the one-dimensional wave equation with variable coefficients

Cites Work

• A boundary value problem for discrete-velocity models
• An abstract treatment of some forward-backward problems of transport and scattering
• Existence and stability of stationary solutions to the discrete Boltzmann equation
• Asymptotic behaviour and selfsimilarity for the three dimensional Vlasov-Poisson-Fokker-Planck system
• A discrete-velocity, stationary Wigner equation
• Global weak solutions for the initial-boundary-value problems Vlasov-Poisson-Fokker-Planck System
• Periodic Generation and Propagation of Traveling Fronts in DC Voltage Biased Semiconductor Superlattices
• On the Quantum Correction For Thermodynamic Equilibrium

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