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We establish the global existence of weak solutions to a class of kinetic flocking equations. The models under conideration include the kinetic Cucker-Smale equation [6, 7] with possibly non-symmetric...
Let F be a homeomorphism of an oriented surface M that is isotopic to the identity. Le Calvez proved that if F admits a lift without fixed points to the universal covering of M, then there exists a to...
This paper is concerned with the dynamical behavior of a class of nonclassical diffusion equations Firstly, the existence of periodic solutions is established by using the Galerkin approximate method ...
Abstract: We consider the modified restricted three body problem with power-law density profile of disk, which rotates around the center of mass of the system with perturbed mean motion. Using analyti...
Abstract: The aim of this short note is to show how to construct a complete Lyapunov function of a semiflow by using a complete Lyapunov function of its time-one map. As a byproduct we assure the exis...
Abstract: We present a proof of the existence of a renormalization fixed point for Lorenz maps of the simplest non-unimodal combinatorial type ({0,1},{1,0,0}), and with a critical point of arbitrary o...
Изучаются особые периодические движения (критические точки ранга 1 интегрально- го отображения), найденные в работе М.П.Харламова (Механика твердого тела, вып. 37, 2007) в интегрируемой задаче о дви...
Изучаются особые периодические движения (критические точки ранга 1 интегрально- го отображения), найденные в работе М.П.Харламова (Механика твердого тела, вып. 37, 2007) в интегрируемой задаче о дви...
A one-dimensional system describing the propagation of low Mach number flames in sprays is studied. We show that pulsating waves may exist when the droplet distribution in the unburnt region is spatia...

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