TIME-DEPENDENT RESCALINGS AND LYAPUNOV FUNCTIONALS FOR THE VLASOV–POISSON AND EULER–POISSON SYSTEMS, AND FOR RELATED MODELS OF KINETIC EQUATIONS, FLUID DYNAMICS AND QUANTUM PHYSICS

DOI10.1142/S021820250100091XzbMath1012.82024arXivmath/9910041OpenAlexW2009237557MaRDI QIDQ4798868

Jean Dolbeault, Gerhard Rein

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9910041

zbMATH Keywords

Lyapunov functionalskinetic equationsVlasov-Poisson systemEuler-Poisson systemintermediate asymptoticsrescaling transformations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Transform methods (e.g., integral transforms) applied to PDEs (35A22) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of plasmas (82D10) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (5)

Time decay for solutions to one-dimensional two component plasma equations ⋮ Asymptotic growth and decay of two-dimensional symmetric plasmas ⋮ Decay in time for a one-dimensional two-component plasma ⋮ Global semiclassical limit from Hartree to Vlasov equation for concentrated initial data ⋮ Stability and Asymptotic Analysis of a Fluid-Particle Interaction Model

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