The Cauchy problem for the generalized Boltzmann equation with dissipative collisions.

DOI10.1016/S0893-9659(01)00069-6zbMath1143.82321OpenAlexW2033753591WikidataQ127173705 ScholiaQ127173705MaRDI QIDQ5950669

Elena De Angelis, C. P. Gruenfeld

Publication date: 2 January 2002

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(01)00069-6

zbMATH Keywords

Cauchy problemBoltzmann equationDissipative collisionsGeneralized Boltzmann models

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Nonlinear first-order PDEs (35F20) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (2)

A NONLINEAR EVOLUTION EQUATION IN AN ORDERED SPACE, ARISING FROM KINETIC THEORY ⋮ \(L^1\) stability estimate for a one-dimensional Boltzmann equation with inelastic collisions.

Cites Work

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• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• On the modified Enskog equation for elastic and inelastic collisions. Models with spin
• Nonlinear kinetic equations with dissipative collisions
• On some properties of kinetic and hydrodynamic equations for inelastic interactions.
• Modeling in applied sciences. A kinetic theory approach
• On the Boltzmann equation. II: The full initial value problem
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• The generalized Boltzmann equation solution and exponential trend to equilibrium

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