✦ LIBER ✦

Convergence of Solutions of the Landau Equations in the Collisionless Limit

✍ Scribed by Mei-Qin Zhan

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 249 KB
Volume: 20
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(19970525)20:8<679::aid-mma876>3.0.co;2-v

No coin nor oath required. For personal study only.

✦ Synopsis

This paper addresses the question: when the frequency of collisions vanishes, will the solutions of the Landau system converge to the solutions of the Vlasov system? We give a positive answer to the question for solutions satisfying certain regularity conditions.

📜 SIMILAR VOLUMES

On the Validity of the degenerate Ginzbu

On the Validity of the degenerate Ginzburg—Landau equation

✍ A. Shepeleva 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 159 KB 👁 1 views

The Ginzburg-Landau equation which describes nonlinear modulation of the amplitude of the basic pattern does not give a good approximation when the Landau constant (which describes the influence of the nonlinearity) is small. In this paper a derivation of the so-called degenerate (or generalized) Gi

On the Limitations of the Diffusion Equa

On the Limitations of the Diffusion Equation

✍ Hussein, E. M. A. 📂 Article 📅 2008 🏛 Curtin University of Technology 🌐 English ⚖ 499 KB 👁 2 views

On the Multiplicity of Solutions of Semi

On the Multiplicity of Solutions of Semilinear Equations

✍ Philip Korman 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 145 KB 👁 1 views

Entire solutions of the KPP equation

✍ F. Hamel; N. Nadirashvili 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 200 KB 👁 2 views

This paper deals with the solutions defined for all time of the KPP equation where f is a KPP-type nonlinearity defined in [0, 1]: . This equation admits infinitely many traveling-wave-type solutions, increasing or decreasing in x. It also admits solutions that depend only on t. In this paper, we

CUBATURE SOLUTION OF THE POISSON EQUATIO

CUBATURE SOLUTION OF THE POISSON EQUATION

✍ ESCOBAR, FREDDY H. ;JONGKITTINARUKORN, KITTIPHONG ;CIVAN, FARUK 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 228 KB 👁 2 views

The solutions of the Poisson equation in regular and irregular shaped physical domains are obtained by the cubature method. The solutions of the three test problems involving regular shaped domains are compared with the analytical solutions and the control-volume, ®ve-point ®nite dierence, Galerkin

Numerical solution of the continuity equ

Numerical solution of the continuity equation

✍ Bert K. Larkin 📂 Article 📅 1966 🏛 American Institute of Chemical Engineers 🌐 English ⚖ 106 KB 👁 1 views