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Добірка наукової літератури з теми "Stabilisation des EDPs"
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Статті в журналах з теми "Stabilisation des EDPs"
Coleman, H. M., N. Le-Minh, S. J. Khan, M. D. Short, C. Chernicharo, and R. M. Stuetz. "Fate and levels of steroid oestrogens and androgens in waste stabilisation ponds: quantification by liquid chromatography–tandem mass spectrometry." Water Science and Technology 61, no. 3 (February 1, 2010): 677–84. http://dx.doi.org/10.2166/wst.2010.950.
Повний текст джерелаHolmes, Mike, Anu Kumar, Ali Shareef, Hai Doan, Richard Stuetz, and Rai Kookana. "Fate of indicator endocrine disrupting chemicals in sewage during treatment and polishing for non-potable reuse." Water Science and Technology 62, no. 6 (September 1, 2010): 1416–23. http://dx.doi.org/10.2166/wst.2010.436.
Повний текст джерелаДисертації з теми "Stabilisation des EDPs"
Zhu, Hui. "Contrôle, stabilisation et propagation des singularités pour des EDP dispersives." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLS057/document.
Повний текст джерелаIn this thesis, we study the closely related theories of control, stabilization and propagation of singularities for some linear and nonlinear dispersive partial differential equations. Main results come from the author’s works:[1] Zhu, H., 2016. Stabilization of damped waves on spheres and Zoll surfaces of revolution. ESAIM: Control, Optimisation and Calculus of Variations (ESAIM: COCV), to appear.[2] Zhu, H., 2017. Control of three dimensional water waves. arXiv preprint arXiv:1712.06130.[3] Zhu, H., 2018. Propagation of singularities for gravity-capillary water waves. arXiv preprint arXiv:1810.09339.In [1] we studied the stabilization of the damped wave equation on Zoll surfaces of revolution. We gave an example where the region of damping is at the borderline of the geometric control condition, yet the damped waves exhibit a uniform exponential decay of energy, generalizing an example of Lebeau.In [2] we studied the controllability of the gravity-capillary water wave equation. Under the geometric control condition, we proved in arbitrary spatial dimension the exact controllability for spatially periodic small data. This generalizes a result of Alazard, Baldi and Han-Kwan for the 2D gravity-capillary water wave equation.In [3] we studied the propagation of singularities for the gravity-capillary water wave equation. We defined the quasi-homogeneous wavefront set, generalizing the wavefront set of H¨ ormander and the homogeneous wavefront set of Nakamura, and proved propagation results for quasi-homogeneous wavefront sets by the gravity-capillary water wave equation. As corollaries, we obtained local and microlocal smoothing effects for gravity-capillary water waves with sufficient spatial decay
Djebour, Imene Aicha. "Contrôlabilité et stabilisation de problèmes d'interaction fluide-structure." Electronic Thesis or Diss., Université de Lorraine, 2020. http://www.theses.fr/2020LORR0174.
Повний текст джерелаThe objective of the PhD thesis is to study systems coupling the equations for a viscous incompressible fluid and the equations of a structure with a control point of view. By acting on a part of the fluid domain or of the structure domain, we aim at driving the fluid velocity and the structure velocity at a prescribed target. We will work in particular on the model of a rigid body immersed into a viscous incompressible fluid with Navier boundary conditions. In that case, contacts between rigid bodies are possible
Trad, Farah. "Stability of some hyperbolic systems with different types of controls under weak geometric conditions." Electronic Thesis or Diss., Valenciennes, Université Polytechnique Hauts-de-France, 2024. http://www.theses.fr/2024UPHF0015.
Повний текст джерелаThe purpose of this thesis is to investigate the stabilization of certain second order evolution equations. First, we focus on studying the stabilization of locally weakly coupled second order evolution equations of hyperbolic type, characterized by direct damping in only one of the two equations. As such systems are not exponentially stable , we are interested in determining polynomial energy decay rates. Our main contributions concern abstract strong and polynomial stability properties, which are derived from the stability properties of two auxiliary problems: the sole damped equation and the equation with a damping related to the coupling operator. The main novelty is thatthe polynomial energy decay rates are obtained in several important situations previously unaddressed, including the case where the coupling operator is neither partially coercive nor necessarily bounded. The main tools used in our study are the frequency domain approach combined with new multipliers technique based on the solutions of the resolvent equations of the aforementioned auxiliary problems. The abstract framework developed is then illustrated by several concrete examples not treated before. Next, the stabilization of a two-dimensional Kirchhoff plate equation with generalized acoustic boundary conditions is examined. Employing a spectrum approach combined with a general criteria of Arendt-Batty, we first establish the strong stability of our model. We then prove that the system doesn't decay exponentially. However, provided that the coefficients of the acoustic boundary conditions satisfy certain assumptions we prove that the energy satisfies varying polynomial energy decay rates depending on the behavior of our auxiliary system. We also investigate the decay rate on domains satisfying multiplier boundary conditions. Further, we present some appropriate examples and show that our assumptions have been set correctly. Finally, we consider a wave wave transmission problem with generalized acoustic boundary conditions in one dimensional space, where we investigate the stability theoretically and numerically. In the theoretical part we prove that our system is strongly stable. We then present diverse polynomial energy decay rates provided that the coefficients of the acoustic boundary conditions satisfy some assumptions. we give relevant examples to show that our assumptions are correct. In the numerical part, we study a numerical approximation of our system using finite volume discretization in a spatial variable and finite difference scheme in time
Klein, Guillaume. "Stabilisation et asymptotique spectrale de l’équation des ondes amorties vectorielle." Thesis, Strasbourg, 2018. http://www.theses.fr/2018STRAD050/document.
Повний текст джерелаIn this thesis we are considering the vectorial damped wave equation on a compact and smooth Riemannian manifold without boundary. The damping term is a smooth function from the manifold to the space of Hermitian matrices of size n. The solutions of this équation are thus vectorial. We start by computing the best exponential energy decay rate of the solutions in terms of the damping term. This allows us to deduce a sufficient and necessary condition for strong stabilization of the vectorial damped wave equation. We also show the appearance of a new phenomenon of high-frequency overdamping that did not exists in the scalar case. In the second half of the thesis we look at the asymptotic distribution of eigenfrequencies of the vectorial damped wave equation. Were show that, up to a null density subset, all the eigenfrequencies are in a strip parallel to the imaginary axis. The width of this strip is determined by the Lyapunov exponents of a dynamical system defined from the damping term
DUSSER, XAVIER. "Sur la stabilisation et la detectabilite des systemes lineaires dans les espaces de hilbert : systemes avec retards de type neutre et systemes decrits par des edp." Nantes, 1999. http://www.theses.fr/1999NANT2067.
Повний текст джерелаLequeurre, Julien. "Quelques résultats d'existence, de contrôlabilité et de stabilisation pour des systèmes couplés fluide-structure." Phd thesis, Toulouse 3, 2011. http://thesesups.ups-tlse.fr/1623/.
Повний текст джерелаIn this thesis, we are interested in the study of fluid-structure systems. These systems may model blood flows in large vessels or aeroelasticy problems. The velocity and the pressure of the blood are described by the incompressible Navier-Stokes equations and the displacement of the structure boundary satisfies a beam/plate/membrane equation (it depends on the dimension of the model and of the nature of the structure). In the fist part, we prove the exitence and uniqueness of strong solutions to the kind of systems in two or three dimensions, either for small initial data (global in time existence) or for any initial data (local in time existence). In the second part, we study on one hand the null controllability of a system coupling the Navier-Stokes equations with a structure equation corresponding with a finite dimensional approximation of the beam or plate equation. On the other hand, we study the stabilization (for any decay rate) local around the stationary null solution of a system coupling the Navier-Stokes equations with two beam equations with two finite dimension controls acting on the structure equation and in the second boundary condition for the velocity. The second control only depends on time
Lequeurre, Julien. "Quelques résultats d'existence, de contrôlabilité et de stabilisation pour des systèmes couplés fluide - structure." Phd thesis, Université Paul Sabatier - Toulouse III, 2011. http://tel.archives-ouvertes.fr/tel-00685107.
Повний текст джерелаMohamad, Ali Zeinab. "Well-posedness and stabilization of coupled hyperbolic equations involving Timoshenko, Rao-Nakra and Bresse systems by various types of controls." Electronic Thesis or Diss., Université de Lorraine, 2023. http://www.theses.fr/2023LORR0324.
Повний текст джерелаThis thesis is devoted to study the well-posedness and stabilization of some locally coupled systems. First, we study the well-posedness and stability of a one-dimensional Timoshenko system with localized internal fractional Kelvin-Voigt damping in a bounded domain. We investigate three cases : the first one, when the damping is localized in the bending moment, the second case when the damping is localized in the shear stress, we prove that the system is well posed in the sense of semigroup theory and its energy decays polynomially with rate t−1 in both cases. While, when the fractional Kelvin-Voigt is acting on the shear stress and the bending moment simultaneously, we show that the system is well posed in the sense of semigroup theory and polynomially stable, provided that the two dampings are acting in the same sub-interval. Second, we consider the generalized Rao-Nakra beam equation. The system consists of four waveequations for the longitudinal displacements and the shear angle of the top and bottom layers and one Euler-Bernoulli beam equation for the transversal displacement. We start by proving that the system is well posed in the sense of semigroup theory. Then, we study the stability problem. First, we show that the analytic stability holds when all the displacements are globally damped through Kelvin-Voigt damping. Second, we consider the case where the local damping acts only on the shear angle displacements of the top and bottom layers, and we obtain sufficient conditions for the system to be stronglystable. Using frequency domain arguments combined with the multiplier method, we prove that the energy of the system decays polynomially. Finally, we investigate the stability of a Bresse-type system in the whole line with a frictional damping working only on the first equation (vertical displacement). Our objectives are proving some stability and non-stability results depending on the parameters in the system. More precisely, we prove that, in some cases, the system is polynomially stable, and in some other cases, the solution does not converge to zero at all. The proofs are based on the energy method and Fourier analysis combined with some well choosen weight functions