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The aim of the present paper is to show a simple family of nonlinear analytic functions $g: R\to R$ such that the origin is a global isochronous center for the scalar equation $\ddot x=-g(x)$.
The global strong solution for Navier-Stokes equations in 3D thin domains with Navier-friction boundary conditions
3D Navier-Stokes equations thin domains Navier-friction boundary conditions attractors
2011/10/19
In this paper, we consider Navier-Stokes equations in thin 3D thin domain with more general Navier-friction boundary conditions (2.4) (compare with boundary condition in [1]). We prove the global exis...
Lee-Yang-Fisher zeros for DHL and 2D rational dynamics, II. Global Pluripotential Interpretation
Lee-Yang-Fisher zeros 2D rational dynamics Global Pluripotential Interpretation
2011/9/22
Abstract: In a classical work of the 1950's, Lee and Yang proved that for fixed nonnegative temperature, the zeros of the partition functions of a ferromagnetic Ising model always lie on the unit circ...
Justification of the Dynamical Systems Method (DSM) for global homeomorphisms
The Dynamical Systems Method (DSM) surjectivity global homeomorphisms
2011/1/21
The Dynamical Systems Method (DSM) is justified for solving oper-ator equations F(u) = f, where F is a nonlinear operator in a Hilbert space H.
Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption
Global dynamics above the ground state the nonlinear Klein-Gordon equation
2010/11/8
We extend our previous result on the focusing cubic Klein-Gordon equation in three dimensions to the non-radial case, giving a complete classification of global dynamics of all solutions with energy a...