[Turkmath:7719] Yeditepe Universitesi Matematik Bolumu Seminerleri: 17 Mayis 2011 / Yediitepe University , Department of Mathematics, Departmental Seminar on May 17, 2011

[Itır Mogultay]

Degerli Liste Uyeleri;

Yeditepe Universitesi Matematik Bolumu Seminerleri kapsaminda 17 Mayis Salı gunu  Kanada'daki "The Fields Institute"'dan  Arastirma Gorevlisi Dr. "Feride Tiglay" konusmaci olacaktir.  Konusma ile ilgili detayli bilgi asagidadir:

Gun: 17 Mayis, Sali, 2pm-3pm.
Yer: Yeditepe Universitesi Matematik Bolumu Seminer Odasi.
Konusmaci: Feride Tiglay (The Fields Institute, Kanada).


Title: Integrable evolution equations on spaces of tensor densities

Abstract: In a pioneering paper V. Arnold presented a general framework
within which it is possible to employ geometric and Lie theoretic
techniques to study the equations of motion of a rigid body in $R^3$ and
the equations of ideal hydrodynamics. I will describe how to extend this
formalism and introduce two integrable partial differential equations. One
of the equations turns out to be closely related to the inviscid Burgers
equation while the other has not been identified in any form before. These
two PDE possess all the hallmarks of integrability: the existence of a Lax
pair formulation, a bihamiltonian structure, the presence of an infinite
family of conserved quantities and the ability to write down explicitly
some of its solutions.  I will also talk about local well-posedness of the
corresponding Cauchy problem and some results on blow-up as well as global
existence of solutions. Time permitting, I will describe the “peakon”
solutions for these equations. (joint work with J. Lenells and G.
Misiolek)


Saygilarimla;
ITIR MOGULTAY.

___________________________________________________________________________

Dear Group Members;

On May 17 , 2011, our seminar speaker at the Department of Mathematics, Yeditepe University,  will be Dr. " Feride Tiglay" from " The Fields Institute"  in Canada. The title and the abstract of her talk are given below:

Date: May 17, 2pm-3pm
Place: Seminar room, Department of Mathematics, Yeditepe University
Speaker: Feride Tiglay (The Fields Institute, Canada)

Title: Integrable evolution equations on spaces of tensor densities

Abstract: In a pioneering paper V. Arnold presented a general framework
within which it is possible to employ geometric and Lie theoretic
techniques to study the equations of motion of a rigid body in $R^3$ and
the equations of ideal hydrodynamics. I will describe how to extend this
formalism and introduce two integrable partial differential equations. One
of the equations turns out to be closely related to the inviscid Burgers
equation while the other has not been identified in any form before. These
two PDE possess all the hallmarks of integrability: the existence of a Lax
pair formulation, a bihamiltonian structure, the presence of an infinite
family of conserved quantities and the ability to write down explicitly
some of its solutions.  I will also talk about local well-posedness of the
corresponding Cauchy problem and some results on blow-up as well as global
existence of solutions. Time permitting, I will describe the “peakon”
solutions for these equations. (joint work with J. Lenells and G.
Misiolek)


Sincerely;
ITIR MOGULTAY.




___________________________________________________

Itır Mogultay
Assistant Professor
Department of Mathematics
Yeditepe University, Turkey

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