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Convergence to equilibrium of global weak solutions for a Cahn-Hilliard-Navier-Stokes vesicle model
(Springer, 2019-08)
In this paper, we introduce a model describing the dynamic of vesicle membranes within an incompressible viscous fluid in 3D domains. The system consists of the NavierStokes equations, with an extra stress tensor depending ...
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On the approximate and null controllability of the Navier-Stokes equations
(Society for Industrial and Applied Mathematics, 1999-06)
This paper presents some known results on the approximate and null controllability of the Navier–Stokes equations. All of them can be viewed as partial answers to a conjecture of J.-L. Lions.
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Ulam–Hyers stability of Caputo-type fractional fuzzy stochastic differential equations with delay
(Elsevier, 2022-10-19)
We explore a new kind of Caputo-type fractional fuzzy stochastic differential equations (FFSDEs) with delay. We establish the existence result of FFSDEs with delay by monotone iterative technique combined with the method ...
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Bi-objective optimal control of some PDEs: Nash equilibria and quasi-equilibria
(E.D.P. Sciences, 2021-05-05)
This paper deals with the solution of some multi-objective optimal control problems for several PDEs: linear and semilinear elliptic equations and stationary Navier-Stokes systems. Speci - cally, we look for Nash equilibria ...
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Pullback exponential attractors for parabolic equations with dynamical boundary conditions
(Mathematical Society of the Republic of China, 2017-08)
The existence of pullback exponential attractors for a nonautonomous semilinear parabolic equation with dynamical boundary condition is proved when the timedependent forcing terms are translation bounded or even grow ...
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Asymptotic behaviour of a system of micropolar equations
(Bolyai Institute (University of Szeged), 2016)
This work is concerned with three-dimensional micropolar fluids flows in a bounded domain with boundary of class C∞. Based on the theory of dissipative systems, we prove the existence of restricted global attractors for ...
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Recent results on the controllability of linear coupled parabolic problems: A survey
(American Institute of Mathematical Sciences, 2011-09)
This paper tries to summarize recent results on the controllability of systems of (several) parabolic equations. The emphasis is placed on the extension of the Kalman rank condition (for finite dimensional systems of ...
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Study of the optimal harvesting control for an elliptic problem with slow diffusion
(Sociedade Brasileira de Matemática, 2007)
In this paper our aim is to present a survey of known results of an optimal control problem with concave non-quadratic cost functional and a state equation arising from population dynamics. First, we study in detail the ...
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Age-dependent diffusive Lotka-Volterra type systems
(Elsevier, 2007-03)
In this paper it is shown that the sub-supersolution method works for age-dependent diffusive nonlinear systems with non-local initial conditions. As application, we prove the existence and uniqueness of positive solution ...
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Fixed points and exponential stability for stochastic partial integro–differential equations with delays
(Research India Publications, 2014)
In this paper, we study the existence and asymptotic stability in the pth-moment of mild solutions of nonlinear impulsive stochastic partial functional integro-differential equations with delays. We suppose that the linear ...