[Turkmath:7627] Yeditepe Universitesi Matematik Bolumu Seminerleri: 22 Nisan 2011 /Yediitepe University , Department of Mathematics, Departmental Seminar onApril 22, 2011

Itır Mogultay itir.mogultay at yeditepe.edu.tr
13 Nis 2011 Çar 12:14:51 EEST


Degerli Liste Uyeleri;

Yeditepe Universitesi Matematik Bolumu Seminerleri kapsaminda 22 Nisan Cuma gunu  Isik Universitesi Matematik Bolumu Ogretim Uyesi Prof. Dr. "Saadet Erbay" konusmaci olacaktir.  Konusma ile ilgili detayli bilgi asagidadir:

Gun: 22 Nisan, Sali, 2pm-3pm.
Yer: Yeditepe Universitesi Matematik Bolumu Seminer Odasi.
Konusmaci: Prof. Dr. Saadet Erbay (Isik Universitesi).

Başlık: On the Existence and Stability of Solitary Wave Solutions of Nonlinear Dispersive Equations

Ozet: The stability of solitary wave solutions of nonlinear dispersive equations has been the subject of intense research in the past decades. Variational methods, based on energy and momentum functionals, are used not only for proving the existence of solitary wave solutions but also for determining the non-linear stability of those solutions. The idea for proving the stability of waves is based on measuring some distance between the solitary wave profile and the solution of the Cauchy problem for nonlinear dispersive wave equations. In the first part of the talk, I will give a brief introduction to the subject terminology with emphasis on applications to nonlinear dispersive wave equations. The second part of the talk is devoted to our results on the existence and stability of solitary wave solutions for the long wave- short wave interaction equations. In the last part of the talk, I will give an overview of several ongoing projects on a class of non-local wave equations.

Saygilarimla;
ITIR MOGULTAY.

___________________________________________________________________________

Dear Group Members;

On April 22, 2011, our seminar speaker at the Department of Mathematics, Yeditepe University,  will be  Prof. Dr. " Saadet Erbay" from the Department of Mathematics, Isik University. The title and the abstract of her talk are given below:

Date: April 22, 2pm-3pm
Place: Seminar room, Department of Mathematics, Yeditepe University
Speaker: Prof. Dr. Saadet Erbay (Isik University)

Title: On the Existence and Stability of Solitary Wave Solutions of Nonlinear Dispersive Equations

Abstract: The stability of solitary wave solutions of nonlinear dispersive equations has been the subject of intense research in the past decades. Variational methods, based on energy and momentum functionals, are used not only for proving the existence of solitary wave solutions but also for determining the non-linear stability of those solutions. The idea for proving the stability of waves is based on measuring some distance between the solitary wave profile and the solution of the Cauchy problem for nonlinear dispersive wave equations. In the first part of the talk, I will give a brief introduction to the subject terminology with emphasis on applications to nonlinear dispersive wave equations. The second part of the talk is devoted to our results on the existence and stability of solitary wave solutions for the long wave- short wave interaction equations. In the last part of the talk, I will give an overview of several ongoing projects on a class of non-local wave equations.


Sincerely;
ITIR MOGULTAY.

___________________________________________________

Itır Mogultay
Assistant Professor
Department of Mathematics
Yeditepe University, Turkey

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