Fast and slow convergence to equilibrium for Maxwellian molecules via wild sums
From MaRDI portal
Publication:1397938
DOI10.1023/A:1023623503092zbMath1079.82012MaRDI QIDQ1397938
Eric Anders Carlen, Xuguang Lu
Publication date: 6 August 2003
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Applications of functional analysis in statistical physics (46N55)
Related Items
Central limit theorem for the solution of the Kac equation, Rate of convergence to equilibrium for the spatially homogeneous Boltzmann equation with hard potentials, On strong convergence to equilibrium for the Boltzmann equation with soft potentials, Some new results for McKean's graphs with applications to Kac's equation, Mathematical treatment of the homogeneous Boltzmann equation for Maxwellian molecules in the presence of singular kernels, On backward solutions of the spatially homogeneous Boltzmann equation for Maxwelian molecules, Proof of a McKean conjecture on the rate of convergence of Boltzmann-equation solutions, On the rate of explosion for infinite energy solutions of the spatially homogeneous Boltzmann equation, Exponential decay for soft potentials near Maxwellian, The role of the central limit theorem in discovering sharp rates of convergence to equilibrium for the solution of the Kac equation, On the relation between rates of relaxation and convergence of wild sums for solutions of the Kac equation, Reaching the best possible rate of convergence to equilibrium for solutions of Kac's equation via central limit theorem, On measure solutions of the Boltzmann equation. II: Rate of convergence to equilibrium