viscous Burgers' equation
Approximate controllability of the viscous Burgers equation on the real line
... The paper is devoted to studying the 1D viscous Burgers equation controlled by an external force. It is assumed that the initial state is essentially bounded, with no decay condition at infinity, and ...
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Small-time global stabilization of the viscous Burgers equation with three scalar controls
... are close to the one we study here, i.e. the viscous Burgers equation. However this strategy does not work in two important cases, namely the case where the linearized system is not asymptotically ...
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Non-controllability of the viscous Burgers equation and a detour into the well-posedness of unbounded entropy solutions to scalar conservation laws
... Theorem 1.2. (See [ 25 ]) There exist N > 0 and β ≥ 1 such that for every |C| > N , there exists u ∈ L ∞ ((0, 1) × (0, T )) satisfying ( BE ) and such that u(·, 0) = 0, u(·, T ) = C for x ∈ (0, 1) and all T > ...
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Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values
... time-dependent viscous Burgers equation (which will serve as a "test case" for the "real" equations modelling geophysical fluids we are interested ...
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en fr Small time global null controllability for a viscous Burgers' equation despite the presence of a boundary layer Contrôlabilité globale en temps petit pour une équation de Burgers visqueuse malgré la présence d'une couche limite
... When three s
alar ontrols (namely u(t) , y(t, 0) and y(t, 1) ) are used, Chapouly has shown in [6℄ that the system is small time exa
tly ontrollable to the traje
tories. Her proof relies on the re- turn method and on the ...
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en fr An obstruction to small time local null controllability for a viscous Burgers' equation Obstruction à la contrôlabilité locale en temps petit pour une équations de Burgers visqueuse
... (1.9) It is easy to see that system ( 1.8 ) is not ontrollable. Indeed, the ontrol u(t) an a
tually be written as u(t)χ [0,1] , and χ [0,1] is an even fun
tion on the line segment [0, 1] . Thus, the ontrol only a
ts on ...
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Exponential boundary feedback stabilization of a shock steady state for the inviscid Burgers equation
... literature, Burgers equation often appears as a simplification of the dynamical model of flows, as well as the most studied scalar model for ...transportation. Burgers turbulence has been ...
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Remark on the global null controllability for a viscous Burgers-particle system with particle supported control
... The outline of the remaining part of this work is the following. In Section 2, we recall the definition of a solution to the system (1.1) and some other important results. Section 3 is devoted to the proof of the main ...
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On the Uniform Controllability of the Burgers Equation
... THE BURGERS EQUATION ...the viscous Burgers equation with a small dissipation coefficient ...associated Burgers equation is driven to a constant ...
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Burgers type equations, Gelfand's problem and Schumpeterian dynamics
... of Burgers type have not been obtained yet, even for system barotropic gaz ...difference-differential Burgers type equations have been considered only recently (see Benzoni-Gavage, Huot, Rousset, ...
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Superparamagnetic colloids in viscous fluids
... Superparamagnetic colloids in viscous fluids A. Darras 1,2,3 , E. Opsomer 1,4 , N. Vandewalle 1 & G. Lumay 1 The influence of a magnetic field on the aggregation process of superparamagnetic colloids has been ...
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Coalescence in Highly Viscous System
... • ReDrop simulation will be compared to the settling experiments in order to validate the coalescence model.. First results ReDrop simulation.[r] ...
1
Coalescence in Highly Viscous System
... the equation of motion of two approaching and meeting drops. The equation was solved assuming that the drops follow their curvature during the contact ...
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Viscous fingering of miscible slices
... of viscous finger- ing to the broadening of the output peaks as a function of the important parameters of the ...to viscous fingering [15, 16, 17] is the initial condition which is now a sample of finite ...
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Existence of strong solutions for a system of interaction between a compressible viscous fluid and a wave equation
... shell equation: [ 13 , 14 , 28 , 35 ...beam equation and investigates, in particular, the possible contacts between the structure and the bottom of the ...
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A De Giorgi Iteration-based Approach for the Establishment of ISS Properties for Burgers' Equation with Boundary and In-domain Disturbances
... for Burgers’ equation that is one of the most popular PDEs in mathematical physics ...[11]. Burgers’ equation is considered as a simplified form of the Navier-Stokes equation and can be ...
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Suppressing thermalization and constructing weak solutions in truncated inviscid equations of hydrodynamics: Lessons from the Burgers equation
... SUGAN D. MURUGAN et al. PHYSICAL REVIEW RESEARCH 2, 033202 (2020) grow as a power law ˆu k ∼ k d −1 (energy equipartition), where d is the spatial dimension, and not fall off exponentially, from which the width of the ...
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Evaluation de la qualité physicochimique des burgers surgelés
... Le burger est un produit à base de viande hachée ; occupe une place importante au niveau des rations de la population algérienne par sa richesse en nutriment, et sa consommation par la majorité implique une surveillance ...
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Convergence Rate for the Approximation of the Limit Law of Weakly Interacting Particles 2: Application to the Burgers Equation
... Unite´ de recherche INRIA Lorraine, Technopoˆle de Nancy-Brabois, Campus scientifique, 615 rue du Jardin Botanique, BP 101, 54600 VILLERS LE` S NANCY Unite´ de recherche INRIA Rennes, Ir[r] ...
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Thermal noise of microcantilevers in viscous fluids
... a viscous fluid and subject to an arbitrary external forcing, using the same notations and approach as ...The equation of describing the dynamics of w is ...
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