Existence of global solutions to the Cauchy problem for the inelastic Boltzmann equation with near-vacuum data
From MaRDI portal
Publication:5325383
DOI10.1512/iumj.2009.58.3506zbMath1168.76047arXiv0804.1606OpenAlexW2057657341MaRDI QIDQ5325383
Publication date: 10 August 2009
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0804.1606
Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)
Related Items (23)
Distributional and classical solutions to the Cauchy Boltzmann problem for soft potentials with Integrable angular cross section ⋮ On the inelastic Boltzmann equation for soft potentials with diffusion ⋮ Global classical solution to the inelastic Boltzmann equation with potential force ⋮ Long time asymptotics for homoenergetic solutions of the Boltzmann equation. Hyperbolic-dominated case ⋮ Boltzmann equation for granular media with thermal force in a weakly inhomogeneous setting ⋮ Global well-posedness of a binary-ternary Boltzmann equation ⋮ On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ Convolution inequalities for the Boltzmann collision operator ⋮ Global solution to the inelastic Boltzmann equation with hard potentials ⋮ On the Cauchy problem for the inelastic Boltzmann equation with external force ⋮ Kinetic modelling of colonies of myxobacteria ⋮ Two proofs of Haff's law for dissipative gases: the use of entropy and the weakly inelastic regime ⋮ \(L ^{1}\) and BV-type stability of the inelastic Boltzmann equation near vacuum ⋮ On the measure valued solution to the inelastic Boltzmann equation with soft potentials ⋮ Global existence and stability of mild solutions to the inelastic Boltzmann system for gas mixtures ⋮ Boltzmann model for viscoelastic particles: asymptotic behavior, pointwise lower bounds and regularity ⋮ Global existence of classical solutions to the inelastic Vlasov-Poisson-Boltzmann system ⋮ The existence and convergence of the Maxwell model for granular materials ⋮ Hydrodynamic limit of granular gases to pressureless Euler in dimension 1 ⋮ Uniform \(L^1\) stability of the inelastic Boltzmann equation with large external force for hard potentials ⋮ On the inelastic Enskog equation near vacuum ⋮ Uniform stability of the Boltzmann equation with an external force near vacuum ⋮ The inelastic Enskog equation with external force
This page was built for publication: Existence of global solutions to the Cauchy problem for the inelastic Boltzmann equation with near-vacuum data
