JNS
2010
2010
Initiation of Cracks in Griffith's Theory: An Argument of Continuity in Favor of Global Minimization
13 years 7 months ago
The initiation of a crack in a sound body is a real issue in the setting of Griffith's theory of brittle fracture. If one uses the concept of critical energy release rate (Gri...
JNS
2010
13 years 7 months ago
2010
Under certain conditions the problem of morphogenesis in development and the problem of morphology in block copolymers may be reduced to one geometric problem. In two dimensions t...
JNS
2010
13 years 7 months ago
2010
We consider statistical mechanics systems defined on a set with some symmetry properties (namely, the set admits an action by a group, which is finitely generated and residually fi...
JNS
2010
13 years 11 months ago
2010
ABSTRACT. We consider a general family of regularized Navier-Stokes and Magnetohydrodynamics (MHD) models on n-dimensional smooth compact Riemannian manifolds with or without bound...
JNS
2010
13 years 11 months ago
2010
This paper is concerned with the Becker-D¨oring (BD) system of equations and their relationship to the Lifschitz-Slyozov-Wagner (LSW) equations. A diffusive version of the LSW eq...
JNS
2010
13 years 11 months ago
2010
JNS
2010
13 years 11 months ago
2010
We study soliton solutions to the nonlinear Schr¨odinger equation (NLS) with a saturated nonlinearity. NLS with such a nonlinearity is known to possess a minimal mass soliton. We ...
JNS
2010
13 years 11 months ago
2010
This paper introduces a new method to show the validity of a continuum description for the deterministic dynamics of many interacting particles. Here the many particle evolution is...
JNS
2010
13 years 11 months ago
2010
JNS
2010
13 years 11 months ago
2010
Quasipatterns (two-dimensional patterns that are quasiperiodic in any spatial direction) remain one of the outstanding problems of pattern formation. As with problems involving qu...