The Kac equation with a thermostatted force field
From MaRDI portal
Publication:857611
DOI10.1007/s10955-005-9020-8zbMath1134.82041OpenAlexW2099602884MaRDI QIDQ857611
Yosief Wondmagegne, Bernt Wennberg
Publication date: 19 December 2006
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10955-005-9020-8
Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Kinetic theory of gases in time-dependent statistical mechanics (82C40)
Related Items (13)
On the learning control effects in the cancer-immune system competition ⋮ Onset of nonlinearity in thermostatted active particles models for complex systems ⋮ Stochastic foundations of undulatory transport phenomena: generalized Poisson–Kac processes—part III extensions and applications to kinetic theory and transport ⋮ Editorial. Nonlinear dynamics in applied sciences systems: advances and perspectives ⋮ A thermostatted kinetic theory model for a hybrid multisource system with storage ⋮ Brownian approximation and Monte Carlo simulation of the non-cutoff Kac equation ⋮ Well-posedness and large time behaviour for the non-cutoff Kac equation with a Gaussian thermostat ⋮ High-order moments conservation in thermostatted kinetic models ⋮ How do mutative events modify moments evolution in thermostatted kinetic models? ⋮ A hybrid thermostatted kinetic framework for the modeling of a hybrid multisource system with storage ⋮ The time delays' effects on the qualitative behavior of an economic growth model ⋮ Space-velocity thermostatted kinetic theory model of tumor growth ⋮ Propagation of chaos for the thermostatted Kac master equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Metrics for probability distributions and the trend to equilibrium for solutions of the Boltzmann equation.
- Probability metrics and uniqueness of the solution to the Boltzmann equation for a Maxwell gas
- About the regularizing properties of the non-cut-off Kac equation
- Moment inequalities and high-energy tails for Boltzmann equations with inelastic interactions
- On the Boltzmann equation. I: Existence
- Stationary states for the Kac equation with a Gaussian thermostat
This page was built for publication: The Kac equation with a thermostatted force field
