Parametric exponential energy decay for dissipative electron-ion plasma waves

Karachalios, NI; Stavrakakis, NM; Xanthopoulos, P

dc.contributor.author	Karachalios, NI	en
dc.contributor.author	Stavrakakis, NM	en
dc.contributor.author	Xanthopoulos, P	en
dc.date.accessioned	2014-03-01T01:22:54Z
dc.date.available	2014-03-01T01:22:54Z
dc.date.issued	2005	en
dc.identifier.issn	0044-2275	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16713
dc.subject	Dissipation	en
dc.subject	ECRH plasma heating	en
dc.subject	Electron-ion plasma waves	en
dc.subject	Energy decay	en
dc.subject	Global existence	en
dc.subject	Klein-Gordon - Schrödinger system	en
dc.subject	Uniqueness	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	ZAKHAROV SYSTEM	en
dc.subject.other	SCHRODINGER	en
dc.subject.other	ATTRACTORS	en
dc.subject.other	EQUATIONS	en
dc.subject.other	CAUCHY	en
dc.title	Parametric exponential energy decay for dissipative electron-ion plasma waves	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00033-004-2095-2	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00033-004-2095-2	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	We consider the following evolution system of Klein-Gordon-Schrodinger type i psi(t) + kappa psi(xx) + i alpha psi = phi psi, x is an element of Omega, t > 0, phi(tt) - phi(xx) + phi + lambda phi(t) = -Re psi(x), x is an element of Omega, t > 0, satisfying the following initial and boundary conditions psi(x, 0) = psi(0)(x), phi(x, 0) = phi(0)(x), phi(t) (x, 0) = phi(1)(x), x is an element of Omega y(x, t) = phi(x, t) = 0, x is an element of partial derivative Omega, t > 0, with kappa, alpha, lambda positive constants and Omega a bounded subset of R. This system describes the nonlinear interaction between high frequency electron waves and low frequency ion plasma waves in a homogeneous magnetic field, adapted to model the UHH plasma heating scheme. The system focuses on the vital role of collisions, by considering the non-homogeneous polarization drift for the low frequency coupling. In Part I we set up the system, starting from first principles. In Part II we work out global existence and uniqueness of solutions and establish the necessary conditions for the system to manifest energy decay. In Part III the results are physically interpreted, providing a threshold of the effectiveness of UHH, in terms of the plasma variables.	en
heal.publisher	BIRKHAUSER VERLAG AG	en
heal.journalName	Zeitschrift fur Angewandte Mathematik und Physik	en
dc.identifier.doi	10.1007/s00033-004-2095-2	en
dc.identifier.isi	ISI:000228332700004	en
dc.identifier.volume	56	en
dc.identifier.issue	2	en
dc.identifier.spage	218	en
dc.identifier.epage	238	en