[PDF][PDF] Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data

K Pfaffelmoser - Journal of Differential Equations, 1992 - core.ac.uk
The distribution at time 0 is given by cp. We will study only classical solutions of (VP), ie,
solutions for which the characteristic system of (1.1) has unique classical solutions. In this case …

Comparison of the classical and the global solutions of the Ideal Resonance Problem

B Garfinkel - Celestial mechanics, 1972 - Springer
… and compare the general behavior and the accuracy of the two solutions in w167 6-9, and
calculate the resonant amplification in {} 10. The theoretical background for the reading of this …

Global classical solutions of the Boltzmann equation without angular cut-off

P Gressman, R Strain - Journal of the American Mathematical Society, 2011 - ams.org
… and uniqueness of the spatially … the existence of global classical solutions with close-toequilibrium
initial data. Ten years later, Illner-Shinbrot [55] found unique global mild solutions with …

Global classical solutions of the Boltzmann equation with long-range interactions

PT Gressman, RM Strain - … of the National Academy of …, 2010 - National Acad Sciences
… proof of global existence of unique strong solutions to the Boltzmann equation [1] for the full
… (12) in 1974 who proved the existence of global classical solutions with close to equilibrium …

Global classical solutions to the compressible Euler–Maxwell equations

J Xu - SIAM journal on mathematical analysis, 2011 - SIAM
the global well-posedness in critical spaces and the limit to zero of some physical parameters
in the … we first construct uniform (global) classical solutions (around constant equilibrium) to …

Global classical solutions for partially dissipative hyperbolic system of balance laws

J Xu, S Kawashima - Archive for Rational Mechanics and Analysis, 2014 - Springer
… , however, the local existence of the classical solutions of this paper does not follow from
the works of … In this section, we prove the local existence of classical solutions to the symmetric …

[PDF][PDF] Global classical solutions close to equilibrium to the Vlasov-Euler-Fokker-Planck system

JA Carrillo, R Duan, A Moussa - Kinet. Relat. Models, 2011 - mat.uab.cat
… analysis were discussed in [7] when the velocity diffusion is considered… The goal of this
paper is to prove the global existence of classical solutions to the Cauchy problem of the VEFP …

[HTML][HTML] Global classical solutions to quadratic systems with mass control in arbitrary dimensions

K Fellner, J Morgan, BQ Tang - Annales de l'Institut Henri Poincaré C …, 2020 - Elsevier
… In this paper, we study the global existence of classical solutions to a class of semilinear
reaction-diffusion systems. Let Ω ⊂ R n , n ≥ 1 , be a bounded domain, and u i : Q T : = Ω × ( 0 , …

Global classical solutions and large-time behavior of the two-phase fluid model

YP Choi - SIAM Journal on Mathematical Analysis, 2016 - SIAM
… When the initial data are … the unique existence of the global Hs-solutions in a perturbation
framework. We also provide the large-time behavior of classical solutions showing the

[PDF][PDF] On the global classical solutions of nonlinear wave equations

Y Ebihara - Funkcial. Ekvac, 1975 - fe.math.kobe-u.ac.jp
solutions and the idea of “potential well”. In this paper we shall prove the global existence
of classical solutions of theThe main method of reasoning in the paper is the estimation of …