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JNS
2007
85views more  JNS 2007»
13 years 5 months ago
Long-Time Accuracy for Approximate Slow Manifolds in a Finite-Dimensional Model of Balance
We study the slow singular limit for planar anharmonic oscillatory motion of a charged particle under the influence of a perpendicular magnetic field when the mass of the particl...
G. Gottwald, M. Oliver, N. Tecu
JNS
2010
61views more  JNS 2010»
13 years 3 months ago
Validity and Failure of the Boltzmann Approximation of Kinetic Annihilation
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...
Karsten Matthies, Florian Theil
JNS
2007
68views more  JNS 2007»
13 years 5 months ago
Single Droplet Pattern in the Cylindrical Phase of Diblock Copolymer Morphology
The Ohta-Kawasaki density functional theory of diblock copolymers gives rise to a nonlocal free boundary problem. Under a proper condition between the block composition fraction a...
X. Ren, J. Wei
JNS
2010
98views more  JNS 2010»
13 years 3 months ago
Analysis of a General Family of Regularized Navier-Stokes and MHD Models
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...
Michael Holst, Evelyn Lunasin, Gantumur Tsogtgerel