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of 10 192
pro vyhledávání: '"exact controllability"'
In this work we analyse the small-time reachability properties of a nonlinear parabolic equation, by means of a bilinear control, posed on a torus of arbitrary dimension $d$. Under a saturation hypothesis on the control operators, we show the small-t
Externí odkaz:
http://arxiv.org/abs/2407.10521
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 43-69 (2024)
In this article, we consider a problem of exact controllability in the processes described by a nonlinear damped thermoviscoelastic plate. First, we prove the global well-posedness result for the nonlinear functions that are continuous with respect t
Externí odkaz:
https://doaj.org/article/78c7feafedf544149a2259cfcf83b252
Autor:
Buffe, Rémi, Duca, Alessandro
The exact controllability of heat type equations in the presence of bilinear controls have been successfully studied in the recent works [1,3,14] motivated by the numerous application to engineering, neurobiology, chemistry, and life science. Neverth
Externí odkaz:
http://arxiv.org/abs/2406.17348
Autor:
Beceanu, Marius
This paper establishes the local exact controllability of the quasilinear porous media equation with Dirichlet boundary condition.\\ Consider the equation $$\begin{aligned} &y_t - \Delta a(y) = mu+f \text{ on } Q\\ &y(0)=y_0,\ y \mid_{\Sigma} = 0 \en
Externí odkaz:
http://arxiv.org/abs/2406.15684
Autor:
Kumar, Pardeep, Mohan, Manil T.
In this article, we discuss the local exact controllability to trajectories of the following convective Brinkman-Forchheimer (CBF) equations (or damped Navier-Stokes equations) defined in a bounded domain $\Omega \subset\mathbb{R}^d$ ($d=2,3$) with s
Externí odkaz:
http://arxiv.org/abs/2402.06335
Autor:
Hu, Long, Olive, Guillaume
In this article we study the internal controllability of 1D linear hyperbolic balance laws when the number of controls is equal to the number of state variables. The controls are supported in space in an arbitrary open subset. Our main result is a co
Externí odkaz:
http://arxiv.org/abs/2403.20113
Autor:
Zuazua, Enrique
These Notes originated from a course I delivered at the Institute of Mathematics of the Universidade Federal do Rio de Janeiro, Brazil (UFRJ) in July-September 1989, were initially published in 1989 in Spanish under the title "Controlabilidad Exacta
Externí odkaz:
http://arxiv.org/abs/2402.17894
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