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

Maria Ines Rivera mrivera en dim.uchile.cl
Mar Abr 23 07:43:43 -04 2019


Estimados(as) Académicos y Alumnos(as),

Se les recuerda que hoy  martes 23 de abril a las 16:00 hrs, se 
realizará  el Seminario  EDP,  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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