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JNS
2007
85views more  JNS 2007»
14 years 10 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
73
Voted
JNS
2010
61views more  JNS 2010»
14 years 8 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
66
Voted
JNS
2007
68views more  JNS 2007»
14 years 10 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
68
Voted
JNS
2010
98views more  JNS 2010»
14 years 8 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