The Cauchy problem for Boltzmann bi-linear systems: the mixing of monatomic and polyatomic gases
DOI10.1007/s10955-023-03221-4arXiv2304.06005WikidataQ129799238 ScholiaQ129799238MaRDI QIDQ6189796
Irene Martínez Gamba, Ricardo J. Alonso, Milana Čolić
Publication date: 5 February 2024
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.06005
system of Boltzmann equationscompact manifold averagingmulti-component gas mixturesstatistical moment estimates for bi-linear integral forms
Stability in context of PDEs (35B35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20) PDEs with measure (35R06)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Boltzmann equation for a multi-species mixture close to global equilibrium
- On measure solutions of the Boltzmann equation. I: Moment production and stability estimates
- Stability of global equilibrium for the multi-species Boltzmann equation in \(L^\infty\) settings
- Polytropic gas modelling at kinetic and macroscopic levels
- Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation
- Moment inequalities for the Boltzmann equation and applications to spatially homogneous problems
- Entropy dissipation and moment production for the Boltzmann equation
- On the spatially homogeneous Boltzmann equation
- Some applications of the method of moments for the homogeneous Boltzmann and Kac equations
- On a model of Borgnakke-Larsen type leading to nonlinear energy laws at temperatures for polyatomic perfect gases
- Propagation of stretched exponential moments for the Kac equation and Boltzmann equation with Maxwell molecules
- On the Chapman-Enskog asymptotics for a mixture of monoatomic and polyatomic rarefied gases
- A kinetic model allowing to obtain the energy law of polytropic gases in the presence of chemical reactions
- Diffusion asymptotics of a kinetic model for gaseous mixtures
- Kinetic approach to chemical reactions and inelastic transitions in a rarefied gas
- Compactness property of the linearized Boltzmann operator for a diatomic single gas model
- A general framework for the kinetic modelling of polyatomic gases
- On existence and uniqueness to homogeneous Boltzmann flows of monatomic gas mixtures
- Stability of the spectral gap for the Boltzmann multi-species operator linearized around non-equilibrium Maxwell distributions
- The Maxwell-Stefan diffusion limit for a kinetic model of mixtures with general cross sections
- Moment inequalities and high-energy tails for Boltzmann equations with inelastic interactions
- Compactness property of the linearized Boltzmann operator for a polyatomic gas undergoing resonant collisions
- Linearized Boltzmann collision operator. I: Polyatomic molecules modeled by a discrete internal energy variable and multicomponent mixtures
- Non-Equilibrium Reacting Gas Flows
- On Mittag-Leffler Moments for the Boltzmann Equation for Hard Potentials Without Cutoff
- One-Dimensional Dissipative Boltzmann Equation: Measure Solutions, Cooling Rate, and Self-Similar Profile
- On the wave turbulence theory for stratified flows in the ocean
- Free Cooling and High-Energy Tails of Granular Gases with Variable Restitution Coefficient
- Hypocoercivity for a Linearized Multispecies Boltzmann System
- On the Cauchy problem for Boltzmann equation modeling a polyatomic gas
- Linearized Boltzmann collision operator. II: Polyatomic molecules modeled by a continuous internal energy variable
- Global bounded solutions to the Boltzmann equation for a polyatomic gas
