The discrete Boltzmann equation with multiple collisions: Global existence and stability for the initial value problem

DOI10.1063/1.528866zbMath0706.76084OpenAlexW2002862294MaRDI QIDQ3487036

Shuichi Kawashima, Nicola Bellomo

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528866

zbMATH Keywords

asymptotic behaviorinitial value problemstability criteriaevolution equationsglobal existencediscrete Boltzmann equationmultiple collisions

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Statistical mechanics of gases (82D05)

Related Items (12)

The Incompressible NavierStokes for the Nonlinear Discrete Velocity Models ⋮ Stationary 'V' states for preferred motions of many particles ⋮ Modelling and nonlinear shock waves for binary gas mixtures by the discrete Boltzmann equation with multiple collisions ⋮ Thermal creep problems by the discrete Boltzmann equation ⋮ Survey of initial value problem for the discrete Boltzmann equation ⋮ 9Vi and 15Vi discrete Boltzmann models with and without multiple collisions ⋮ Large time behavior of the Broadwell model of a discrete velocity gas with specularly reflective boundary conditions ⋮ A new contribution to nonlinear stability of a discrete velocity model ⋮ A note on a discrete Boltzmann equation with multiple collisions ⋮ A DIFFUSIVE LIMIT FOR NONLINEAR DISCRETE VELOCITY MODELS ⋮ The time evolution of random fields in stochastic continuum mechanics ⋮ Numerical scheme for treatment of Uehling-Uhlenbeck equation for two-particle interactions in relativistic plasma

Cites Work

• Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation
• Large-time behavior of solutions of the discrete Boltzmann equation
• Large-time behavior of discrete velocity Boltzmann equations
• Discrete Velocity Models of the Boltzmann Equation: A Survey on the Mathematical ASPECTS of the Theory

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