Kinetic and Related Models: latest papers Latest articles for selected journal Entropy-based mixed three-moment description of fermionic radiation transport in slab and spherical geometries Zbigniew Banach and Wieslaw Larecki Fri, 1 Dec 2017 20:00:00 GMT Strong smoothing for the non-cutoff homogeneous Boltzmann equation for Maxwellian molecules with Debye-Yukawa type interaction Jean-Marie Barbaroux, Dirk Hundertmark, Tobias Ried and Semjon Vugalter Fri, 1 Dec 2017 20:00:00 GMT Boundary layers for discrete kinetic models: Multicomponent mixtures, polyatomic molecules, bimolecular reactions, and quantum kinetic equations Niclas Bernhoff Fri, 1 Dec 2017 20:00:00 GMT Grossly determined solutions for a Boltzmann-like equation Thomas Carty Fri, 1 Dec 2017 20:00:00 GMT The two dimensional Vlasov-Poisson system with steady spatial asymptotics Zili Chen, Xiuting Li and Xianwen Zhang Fri, 1 Dec 2017 20:00:00 GMT Cucker-Smale model with normalized communication weights and time delay Young-Pil Choi and Jan Haskovec Fri, 1 Dec 2017 20:00:00 GMT Global strong solutions to the planar compressible magnetohydrodynamic equations with large initial data and vacuum 0$, and $C_1,C_2>0$. ]]> Jishan Fan, Shuxiang Huang and Fucai Li Fri, 1 Dec 2017 20:00:00 GMT The entropy method for reaction-diffusion systems without detailed balance: First order chemical reaction networks     We show by deriving an entropy-entropy dissipation estimate that for any weakly reversible network each solution trajectory converges exponentially fast to the unique positive equilibrium with computable rates. This convergence is shown to be true even in cases when the diffusion coefficients of all but one species are zero.
    For non-weakly reversible networks consisting of source, transmission and target components, it is shown that species belonging to a source or transmission component decay to zero exponentially fast while species belonging to a target component converge to the corresponding positive equilibria, which are determined by the dynamics of the target component and the mass injected from other components. The results of this work, in some sense, complete the picture of trend to equilibrium for first order chemical reaction networks. ]]>
Klemens Fellner, Wolfang Prager and Bao Q. Tang Fri, 1 Dec 2017 20:00:00 GMT Spectrum structure and optimal decay rate of the relativistic Vlasov-Poisson-Landau system Hai-Liang Li, Hongjun Yu and Mingying Zhong Fri, 1 Dec 2017 20:00:00 GMT First-order quarter- and mixed-moment realizability theory and Kershaw closures for a Fokker-Planck equation in two space dimensions Florian Schneider, Andreas Roth and Jochen Kall Fri, 1 Dec 2017 20:00:00 GMT Diffusive limit with geometric correction of unsteady neutron transport equation Lei Wu Fri, 1 Dec 2017 20:00:00 GMT Generalized Huygens' principle for a reduced gravity two and a half layer model in dimension three 1$. ]]> Zhigang Wu and Weike Wang Fri, 1 Dec 2017 20:00:00 GMT The stability of contact discontinuity for compressible planar magnetohydrodynamics Haiyan Yin Fri, 1 Dec 2017 20:00:00 GMT $L^\infty$ resolvent bounds for steady Boltzmann's equation Kevin Zumbrun Fri, 1 Dec 2017 20:00:00 GMT