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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...
Existence and uniqueness of global strong solutions for one-dimensional compressible Navier-Stokes equations
global strong solutions one-dimensional compressible Navier-Stokes equations
2015/10/15
We consider Navier-Stokes equations for compressible viscous fluids in one dimension. It is a well known fact that if the initial datum are smooth and the initial density is bounded by below by a posi...
Computing Global Characters
Global Characters
2015/9/28
Let π be an irreducible representation of a real reductive group G. The global character θπ of π may be considered as a function on the regular semisimple elements of G. The global character determine...
Global instability in the elliptic restricted three body problem
Elliptic Restricted Three Body problem Arnold diffusion splitting of separatrices Melnikov integral
2015/9/25
The (planar) ERTBP describes the motion of a massless particle (a comet) under the gravitational field of two massive bodies (the primaries, say the Sun and Jupiter) revolving around their center of m...
LOCAL-TO-GLOBAL PRINCIPLES FOR THE HITTING SEQUENCE OF A ROTOR WALK
LOCAL-TO-GLOBAL PRINCIPLES HITTING SEQUENCE ROTOR WALK
2015/8/14
In rotor walk on a finite directed graph, the exits from each vertex follow a prescribed periodic sequence. Here we consider the case of rotor walk where a particle starts from a designated source ver...
On the nonlocal Fisher-KPP equation:steady states,spreading speed and global bounds
nonlocal Fisher-KPP equation steady states spreading speed global bounds
2015/7/14
We consider the Fisher-KPP equation with a non-local interaction term. We establish a condition on the interaction that allows for existence of non-constant periodic solutions,and prove uniform upper ...
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...
Global uniqueness and reconstruction for the multi-channel Gel'fand-Calderón inverse problem in two dimensions
Global uniqueness reconstruction multi-channel Gel'fand-Calderón inverse problem
2011/2/24
We study the multi-channel Gel’fand-Calderón inverse problem in two dimensions, i.e. the inverse boundary value problem for the equation − + v(x) = 0, x 2 D, where v is a smooth matrix-valued...
Global asymptotic stability of a higher order difference equation
difference equation periodic solution
2010/9/21
The aim of this work is to investigate the global stability, periodic nature, oscillation and boundedness of the positive solutions of the difference equation
A d-dimensional framework is an embedding of the vertices and edges of a graph in Euclidean space. A d-dimensional framework is globally rigid if every other d-dimensional framework with the same edg...
Global dynamics above the ground state energy for the one-dimensional NLKG equation
Global dynamics ground state energy the one-dimensional NLKG equation
2010/11/12
In this paper we obtain a global characterization of the dynamics of even solutions to the one-dimensional nonlinear Klein-Gordon (NLKG) equation on the line with focusing nonlinearity |u|^{p-1}u, p>5...
Preconditioned global FOM and GMRES methods for solving Lyapunov matrix equations
Lyapunov matrix equations SSOR Preconditioning
2010/9/10
This paper presents, a preconditioned version of global FOM and GMRES methods for solving Lyapunov matrix equations AX + XAT = −BTB.These preconditioned methods are based on the global full orth...
On global existence of mild solutions of second order Volterra integrodifferential equations
Volterra Integrodifferential Equation Nonlocal Conditions
2010/9/15
In this paper, we study the existence and uniqueness of mild solutions for more general second order initial value problems, with nonlocal conditions, by using the Banach fixed point theorem and the t...
A global optimization method for minimizing a product of two positive convex functions
Global optimization multiplicative programming convex multiplicative programming
2010/9/13
This paper presents a new algorithm for minimizing a product of two positive convex functions. The given problem is firstly converted to an equivalent quasi-concave minimization problem in the outcom...
The Bifurcation of Cycle Length and Global Asymptotic Stability in a Rational Difference Equation with Higher Order
Rational difference equation bifurcation of cycle length perturbation global asymptotic stability semicycle periodicity
2008/11/10
A new bifurcation case for the cycle length is found in this paper for rational difference equations, which is
shown out from the following fifth order rational difference equation
x x x x x x a
x ...