EUDML | Dynamical instability of symmetric vortices.

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Displaying similar documents to “Dynamical instability of symmetric vortices.”

On the Ginzburg-Landau and related equations

Yu N. Ovchinnikov, Israel Michael Sigal (1997-1998)

Séminaire Équations aux dérivées partielles

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We describe qualitative behaviour of solutions of the Gross-Pitaevskii equation in 2D in terms of motion of vortices and radiation. To this end we introduce the notion of the intervortex energy. We develop a rather general adiabatic theory of motion of well separated vortices and present the method of effective action which gives a fairly straightforward justification of this theory. Finally we mention briefly two special situations where we are able to obtain rather detailed picture...

Asymmetric bound states of differential equations in nonlinear optics

A. Ambrosetti, D. Arcoya, J. L. Gámez (1998)

Rendiconti del Seminario Matematico della Università di Padova

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Ginzburg-Landau vortices : the static model

Tristan Rivière (1999-2000)

Séminaire Bourbaki

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The existence of Ginzburg-Landau solutions on the plane by a direct variational method

Yisong Yang (1994)

Annales de l'I.H.P. Analyse non linéaire

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A nonlinear Schrödinger equation with magnetic field effect: solitary waves with internal rotation

Stubbe, Joachim, Vázquez, Luis (1989)

Portugaliae mathematica

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Topological solutions in the self-dual Chern-Simons theory : existence and approximation

Joel Spruck, Yisong Yang (1995)

Annales de l'I.H.P. Analyse non linéaire

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On the minimizers of the Ginzburg-Landau energy for high kappa : the axially symmetric case

Amandine Aftalion (1999)

Annales de l'I.H.P. Analyse non linéaire

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