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A PRIORI ESTIMATES FOR MANY-BODY HAMILTONIAN EVOLUTION OF INTERACTING BOSON SYSTEM
Dispersive estimates interaction Morawetz type (correlation) estimates many-body Hamiltonian many-body Schrodinger equation quantum hydrodynamics BBGKY hierarchy
2015/10/16
We study the evolution of a many-particle system whose wave function obeys the N-body Schr¨ odinger equation under Bose symmetry. The system Hamiltonian describes pairwise particle interactions in the...
Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations
Global weak solutions Vlasov-Fokker-Planck Navier-Stokes system of equations
2015/10/15
We establish the existence of a weak solutions for a coupled system of kinetic and fluid equations. More precisely, we consider a Vlasov-FokkerPlanck equation coupled to compressible Navier-Stokes equ...
An Example of a Nearly Integrable Hamiltonian System with a Trajectory Dense in a Set of Maximal Hausdorff Dimension
Nearly Integrable Hamiltonian System Trajectory Dense Maximal Hausdorff Dimension
2015/9/25
The famous ergodic hypothesis suggests that for a typical Hamiltonian on a typical energy surface nearly all trajectories are dense. KAM theory disproves it.Ehrenfest (The Conceptual Foundations of th...
Traveling waves for the Keller-Segel system with Fisher birth terms
Chemotaxis Traveling waves Keller-Segel system Reaction diffusion systems Nonlinear stability
2015/7/14
We consider the traveling wave problem for the one dimensional Keller-Segel system with a birth term of either a Fisher/KPP type or with a truncation for small population densities. We prove that ther...
Propagation and quenching in a reactive Burgers-Boussinesq system
Propagation quenching Burgers-Boussinesq system
2015/7/14
We investigate the qualitative behavior of solutions of a Burgers-Boussinesq system – a reaction-diffusion equation coupled via gravity to a Burgers equation – by a combination of numerical, asymptoti...
Travelling fronts for the thermodiffusive system with arbitrary Lewis numbers
Travelling fronts thermodiffusive system arbitrary Lewis numbers
2015/7/14
We consider KPP-type systems in a cylinder with an arbitrary Lewis number (the ratio of thermal and material diffusivities) in the presence of a shear flow. We show that traveling fronts solutions exi...
A local mountain pass type result for a system of nonlinear Schrodinger equations
local mountain pass type nonlinear Schrodinger equations
2015/4/3
A local mountain pass type result for a system of nonlinear Schrodinger equations.
Shilnikov Lemma for a normally hyperbolic critical manifold of a Hamiltonian system
Shilnikov Lemma normally hyperbolic critical manifold Hamiltonian system
2015/3/18
Shilnikov Lemma for a normally hyperbolic critical manifold of a Hamiltonian system.
GLOBAL SOLUTIONS FOR THE GRAVITY WATER WAVES SYSTEM IN 2D
GLOBAL SOLUTIONS THE GRAVITY WATER WAVES SYSTEM 2D
2014/4/3
We consider the gravity water waves system in the case of a one dimensional interface, for suf- ficiently smooth and localized initial data, and prove global existence of small solutions. This i...
Blow-up for a degenerate and singular parabolic system with nonlocal sources and absorptions
Degenerate and singular parabolic system blow up blow-up set
2010/11/1
This paper deals with the blow-up properties of the solution to the degenerate and singular parabolic system with nonlocal sources, absorptions and homogeneous Dirichlet boundary conditions. The exist...
Cost-benefit analysis of a two-unit parallel system subject to degradation after repair
Parallel-unit system Degradation Inspection Feasibility of repair
2010/11/1
The purpose of this paper is to carryout the cost-benefit analysis of a two-unit system in which units work in parallel and becomes degraded after repair. There is a single repairman who visits the sy...
A stochastic model for the expected time to recruitment in a two grade manpower system having correlated inter-decision times and constant combined thresholds
Manpower planning Univariate recruitment policy
2010/11/1
In this paper, an organization having two grades in which depletion of manpower occurs at every decision epoch is considered. Using univariate max policy of recruitment, based on shock model approach ...
M/M/1 retrial queueing system with N-policy multiple vacation under non-pre-emtive priority service by matrix geometric method
Single Server Stochastic nature Low priority
2010/9/21
Consider a single server retrial queueing system with N-policy multiple vacation under non-pre-emptive priority service in which two types of customers arrive in a Poisson process with arrival rate λ1...
Complete rewriting system for the Chinese monoid
Chinese Monoid Rewriting Systems Word Problem
2010/9/21
In this paper we are interested in the Chinese monoid and show that the Chinese monoid has complete rewriting system.
Representation of Hamiltonian formalism in dissipative mechanical system
Classical mechanics Lagrangian function Hamiltonian function
2010/9/21
Hamiltonian mechanics is the root of classical mechanics. Hamiltonian function is the modified version of Lagrangian function which is of the first order differential equations with generalized coordi...