Upper Maxwellian bounds for the Boltzmann equation with pseudo-Maxwell molecules
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Publication:502997
DOI10.3934/krm.2017023zbMath1353.76075OpenAlexW2565712356MaRDI QIDQ502997
Alexander V. Bobylev, Irene Martínez Gamba
Publication date: 11 January 2017
Published in: Kinetic and Related Models (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/krm.2017023
Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Generalized solutions to partial differential equations (35D99)
Related Items (8)
On the Cauchy problem for Boltzmann equation modeling a polyatomic gas ⋮ Boundedness of the Stationary Solution to the Boltzmann Equation with Spatial Smearing, Diffusive Boundary Conditions, and Lions' Collision Kernel ⋮ Propagation of stretched exponential moments for the Kac equation and Boltzmann equation with Maxwell molecules ⋮ Spectral computation of low probability tails for the homogeneous Boltzmann equation ⋮ On exponential moments of the homogeneous Boltzmann equation for hard potentials without cutoff ⋮ On existence and uniqueness to homogeneous Boltzmann flows of monatomic gas mixtures ⋮ Decay estimates for large velocities in the Boltzmann equation without cutoff ⋮ Radially symmetric models of the Landau kinetic equation and high energy tails
Cites Work
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- Propagation of \(L^1\) and \(L^\infty \) Maxwellian weighted bounds for derivatives of solutions to the homogeneous elastic Boltzmann equation
- Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation
- \(L^{\infty}\) estimates for the space-homogeneous Boltzmann equation
- Moment inequalities for the Boltzmann equation and applications to spatially homogneous problems
- Stability and exponential convergence for Boltzmann equation
- Stability and exponential convergence in Lp for the spatially homogeneous Boltzmann equation
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