Zobrazeno 1 - 10
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pro vyhledávání: '"Chueshov, Igor"'
Autor:
Chueshov, Igor
We consider a conservative system consisting of an elastic plate interacting with a gas filling a semi-infinite tube. The plate is placed on the bottom of the tube. The dynamics of the gas velocity potential is governed by the linear wave equation. T
Externí odkaz:
http://arxiv.org/abs/1601.04644
A variety of models describing the interaction between flows and oscillating structures are discussed. The main aim is to analyze conditions under which structural instability (flutter) induced by a fluid flow can be suppressed or eliminated. The ana
Externí odkaz:
http://arxiv.org/abs/1512.07292
We give a survey of recent results on flow-structure interactions modeled by a modified wave equation coupled at an interface with equations of nonlinear elasticity. Both subsonic and supersonic flow velocities are considered. The focus of the discus
Externí odkaz:
http://arxiv.org/abs/1509.00808
Autor:
Chueshov, Igor
We study asymptotic synchronization at the level of global attractors in a class of coupled second order in time models which arises in dissipative wave and elastic structure dynamics. Under some conditions we prove that this synchronization arises i
Externí odkaz:
http://arxiv.org/abs/1508.01406
Autor:
Chueshov, Igor, Rezounenko, Alexander
Publikováno v:
Communications on Pure and Applied Analysis. -2015. Volume 14, Number 5, P. 1685-1704
We deal with a class of parabolic nonlinear evolution equations with state-dependent delay. This class covers several important PDE models arising in biology. We first prove well-posedness in a certain space of functions which are Lipschitz in time.
Externí odkaz:
http://arxiv.org/abs/1412.4293
We consider flow-structure interactions modeled by a modified wave equation coupled at an interface with equations of nonlinear elasticity. Both subsonic and supersonic flow velocities are treated with Neumann type flow conditions, and a novel treatm
Externí odkaz:
http://arxiv.org/abs/1311.1500