[Seminario] INVITACIÓN SEMINARIO EDP MARTES 23 DE ABRIL A LAS 16:00 HRS.

Maria Ines Rivera mrivera en dim.uchile.cl
Lun Abr 15 20:07:07 -04 2019


Estimados(as) Académicos y Alumnos(as),

Se les invita para el próximo martes 23 de abril a las 16:00 hrs, al 
Seminario  EDP,  el cual tendrá lugar en la Sala de seminarios Felipe 
Álvarez, piso 5, DIM, U. de Chile.Beauchef 851, Torre Norte. ***


SEMINARIO EDP*

*EXPOSITOR*

*CHULKWANG KWAK *

*PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE *

*TITULO

**ALMOST DESCRIPTION OF DECAY FOR HAMILTONIAN ABCD SYSTEM CHULKWANG KWAK *

**

*ABSTRACT *

*The Boussinesq abcd system was originally derived by Bona, Chen and 
Saut [J. Nonlinear. Sci. (2002)] as first order 2-wave approximations of 
the incompressible and irrotational, two dimensional water wave 
equations in the shallow water wave regime. Among many particular 
regimes, the Hamiltonian generic regime is characterized by the setting 
b = d > 0 and a,c < 0. It is known that the system in this regime is 
globally well-posed for small data in the energy space H1 × H1 by Bona, 
Chen and Saut [Nonlinearity (2004)]. In this talk, we are going to 
discuss about the decay of small solutions to abcd system in three 
directions: First, for a sufficiently dispersive abcd systems 
(characterized only in terms of parameters a,b and c), all small 
solutions must decay to zero, locally strongly in the energy space, in 
proper subset of the light cone |x| ≤ |t|. Second, for every ray x = vt, 
|v| < 1 inside the light cone, small solutions to sufficiently 
dispersive system (smallness and dispersion are characterized by v) 
decay to zero, in proper subset along the ray. Last, small solutions 
decay to zero in exterior regions |x| **≫**|t| under suitable conditions 
of parameters (a, b, c). All results rule out, among other things, the 
existence of zero or nonzero speed or super-luminical small solitary 
waves in each regime where decay is present. *

*This is joint work with Claudio Muñoz. *



Martes 23 de abril a las16:00 hrs, Sala de seminarios Felipe 
Álvarez, piso 5, DIM, U. de Chile.Beauchef 851, Torre Norte.

Esperando contar con su presencia, les saluda,

Ma. Inés Rivera


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