Control of a linearized viscous liquid-tank system with surface tension (Q6490235)

scientific article; zbMATH DE number 7835969

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English	Control of a linearized viscous liquid-tank system with surface tension	scientific article; zbMATH DE number 7835969

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scholarly article

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title

Control of a linearized viscous liquid-tank system with surface tension (English)

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SIAM Journal on Control and Optimization

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publication date

23 April 2024

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zbMATH Keywords

Saint-Venant model

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shallow water equations

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feedback stabilization

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control Lyapunov functional

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higher-order partial differential equations

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MaRDI profile type

MaRDI publication profile

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cites work

Aeroelasticity

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On Lyapunov stability of linearised Saint-Venant equations for a sloping channel

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Stability and boundary stabilization of 1-D hyperbolic systems

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Feedforward boundary control of \(2\times 2\) nonlinear hyperbolic systems with application to Saint-Venant equations

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Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model

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On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier-Stokes models

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Mathematical justification of a shallow water model

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Functional analysis, Sobolev spaces and partial differential equations

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A note on the viscous, 1D shallow water equations: traveling wave phenomena

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Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations

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Q3437336

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A Strict Lyapunov Function for Boundary Control of Hyperbolic Systems of Conservation Laws

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Stabilization of the linearized water tank system

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Backstepping stabilization of the linearized \textit{Saint-Venant-Exner} model

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Boundary control with integral action for hyperbolic systems of conservation laws: stability and experiments

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Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation

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A quadratic Lyapunov function for Saint-Venant equations with arbitrary friction and space-varying slope

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Exponential stability of density-velocity systems with boundary conditions and source term for the \(H^2\) norm

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Weak-strong uniqueness for the Navier-Stokes equation for two fluids with ninety degree contact angle and same viscosities

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Liquid Sloshing Dynamics

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Global Regularity for 2d Water Waves with Surface Tension

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Input-to-state stability for PDEs

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Spill-Free Transfer and Stabilization of Viscous Liquid

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Output-feedback control of viscous liquid-tank system and its numerical approximation

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Feedback Stabilization of Tank-Liquid System with Robustness to Wall Friction

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Global Existence of Classical Solutions in the Dissipative Shallow Water Equations

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Q4924170

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Boundary control of linearized Saint-Venant equations oscillating modes

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Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects

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Asymptotic Stability of Steady-states for Saint-Venant Equations with Real Viscosity

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Dynamics and solutions to some control problems for water-tank systems

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Stabilization of a 1-D tank containing a fluid modeled by the shallow water equations

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A well-posed model for dynamic contact angles

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Q4699257

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Arbitrary Decay Rate for Euler-Bernoulli Beam by Backstepping Boundary Feedback

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Global existence for the Dirichlet problem for the viscous shallow water equations

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Local well-posedness of incompressible viscous fluids in bounded cylinders with \(90^\circ \)-contact angle

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Mathematics(1 entry)

mardi Publication:6490235