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JNS
2010
13 years 4 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...
JNS
2010
13 years 4 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 4 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 10 days 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
2010
Initiation of Cracks in Griffith's Theory: An Argument of Continuity in Favor of Global Minimization
13 years 10 days 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...