On global solutions to a nonlinear Alfvén wave equation

XS. Feng; F. Wei

Annales Polonici Mathematici (1995)

  • Volume: 62, Issue: 2, page 155-172
  • ISSN: 0066-2216

Abstract

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We establish the global existence and uniqueness of smooth solutions to a nonlinear Alfvén wave equation arising in a finite-beta plasma. In addition, the spatial asymptotic behavior of the solution is discussed.

How to cite

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XS. Feng, and F. Wei. "On global solutions to a nonlinear Alfvén wave equation." Annales Polonici Mathematici 62.2 (1995): 155-172. <http://eudml.org/doc/262630>.

@article{XS1995,
abstract = {We establish the global existence and uniqueness of smooth solutions to a nonlinear Alfvén wave equation arising in a finite-beta plasma. In addition, the spatial asymptotic behavior of the solution is discussed.},
author = {XS. Feng, F. Wei},
journal = {Annales Polonici Mathematici},
keywords = {nonlinear Alfvén wave; existence and uniqueness of global solution; spatial asymptotic behavior; finite-beta plasma; Cauchy problem; Hilbert transform; global a priori estimates; existence; uniqueness; asymptotic behaviour},
language = {eng},
number = {2},
pages = {155-172},
title = {On global solutions to a nonlinear Alfvén wave equation},
url = {http://eudml.org/doc/262630},
volume = {62},
year = {1995},
}

TY - JOUR
AU - XS. Feng
AU - F. Wei
TI - On global solutions to a nonlinear Alfvén wave equation
JO - Annales Polonici Mathematici
PY - 1995
VL - 62
IS - 2
SP - 155
EP - 172
AB - We establish the global existence and uniqueness of smooth solutions to a nonlinear Alfvén wave equation arising in a finite-beta plasma. In addition, the spatial asymptotic behavior of the solution is discussed.
LA - eng
KW - nonlinear Alfvén wave; existence and uniqueness of global solution; spatial asymptotic behavior; finite-beta plasma; Cauchy problem; Hilbert transform; global a priori estimates; existence; uniqueness; asymptotic behaviour
UR - http://eudml.org/doc/262630
ER -

References

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  10. [10] J. L. Lions et E. Magenes, Problèmes aux limites non homogènes et applications, Tome I, Dunod, Paris, 1968. Zbl0165.10801
  11. [11] E. Mjølhus and J. Wyller, Nonlinear Alfvén waves in a finite-beta plasma, J. Plasma Physics 40 (1988), 299-318. 
  12. [12] W. A. Strauss, On continuity of functions with values in various Banach spaces, Pacific J. Math. 19 (1966), 543-551. Zbl0185.20103
  13. [13] M. Tsutsumi, Weighted Sobolev spaces, and rapidly descreasing solutions of some nonlinear dispersive wave equations, J. Differential Equations 42 (1981), 260-281. Zbl0488.35071
  14. [14] M. Tsutsumi and I. Fukuda, On solutions of the derivative nonlinear Schrödinger equation, existence and uniqueness theorem, Funkcial. Ekvac. 23 (1980), 259-277. 
  15. [15] M. Tsutsumi and I. Fukuda, On solutions of the derivative nonlinear Schrödinger equation, Funkcial. Ekvac. 24 (1981), 85-94. 

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