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SIAMMA
2010
102views more  SIAMMA 2010»
13 years 6 months ago
Trace Theorems for a Class of Ramified Domains with Self-Similar Fractal Boundaries
This work deals with trace theorems for a class of ramified bidimensional domains with a self-similar fractal boundary . The fractal boundary is supplied with a probability measur...
Yves Achdou, Nicoletta Tchou
SIAMMA
2010
62views more  SIAMMA 2010»
13 years 6 months ago
The Interior Transmission Problem for Regions with Cavities
We consider the interior transmission problem in the case when the inhomogeneous medium has cavities, i.e. regions in which the index of refraction is the same as the host medium. ...
Fioralba Cakoni, David Colton, Houssem Haddar
SIAMMA
2010
105views more  SIAMMA 2010»
13 years 6 months ago
On the Convergence of the Ohta-Kawasaki Equation to Motion by Nonlocal Mullins-Sekerka Law
In this paper, we establish the convergence of the Ohta-Kawasaki equation to motion by nonlocal Mullins-Sekerka law on any smooth domain in space dimensions N 3. These equations a...
Nam Q. Le
SIAMMA
2010
43views more  SIAMMA 2010»
13 years 6 months ago
Nonlinear Stability of Semidiscrete Shocks for Two-Sided Schemes
The nonlinear stability of travelling Lax shocks in semidiscrete conservation laws involving general spatial forward-backward discretization schemes is considered. It is shown tha...
Margaret Beck, Hermen Jan Hupkes, Björn Sands...
SIAMMA
2010
87views more  SIAMMA 2010»
13 years 6 months ago
Asymptotic Shallow Water Models for Internal Waves in a Two-Fluid System with a Free Surface
Abstract. In this paper, we derive asymptotic models for the propagation of two and threedimensional gravity waves at the free surface and the interface between two layers of immis...
Vincent Duchêne
SIAMMA
2010
45views more  SIAMMA 2010»
13 years 6 months ago
Nonlinear Cross-Diffusion with Size Exclusion
The aim of this paper is to investigate the mathematical properties of a continuum model for diffusion of multiple species incorporating size exclusion effects. The system for two ...
Martin Burger, Marco Di Francesco, Jan-Frederik Pi...
SIAMMA
2010
47views more  SIAMMA 2010»
13 years 6 months ago
Wave Breaking in the Ostrovsky-Hunter Equation
Yue Liu, Dmitry Pelinovsky, Anton Sakovich