Optimal Control of Thin Liquid Films and Transverse Mode Effects
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Publication:4631521
DOI10.1137/18M1193906zbMath1411.76010arXiv1805.08236OpenAlexW2805014848WikidataQ128555682 ScholiaQ128555682MaRDI QIDQ4631521
Ruben J. Tomlin, S. N. Gomes, Demetrios T. Papageorgiou, Grigorios A. Pavliotis
Publication date: 29 March 2019
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.08236
Nonlinear effects in hydrodynamic stability (76E30) Thin fluid films (76A20) Existence theories for optimal control problems involving partial differential equations (49J20)
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Cites Work
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- Pulse dynamics in low-Reynolds-number interfacial hydrodynamics: experiments and theory
- The route to chaos for the Kuramoto-Sivashinsky equation
- Optimal bounds on the Kuramoto-Sivashinsky equation
- Sharp estimates for the number of degrees of freedom for the damped-driven 2-D Navier-Stokes equations
- On some control problems in fluid mechanics
- Falling liquid films.
- Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
- Steady solutions of the Kuramoto-Sivashinsky equation
- Analyticity for the Kuramoto-Sivashinsky equation
- Infinite-dimensional dynamical systems in mechanics and physics.
- Nonlinear stability and dynamical properties for a Kuramoto-Sivashinsky equation in space dimension two
- A global attracting set for the Kuramoto-Sivashinsky equation
- Linearly implicit schemes for multi-dimensional Kuramoto–Sivashinsky type equations arising in falling film flows
- Approximate Equations for Long Nonlinear Waves on a Viscous Fluid
- Falling liquid films with blowing and suction
- On solitary waves running down an inclined plane
- Back in the Saddle Again: A Computer Assisted Study of the Kuramoto–Sivashinsky Equation
- Wave formation in laminar flow down an inclined plane
- Long-wave instabilities of heated falling films: two-dimensional theory of uniform layers
- Uncertainty estimates andL2bounds for the Kuramoto–Sivashinsky equation
- New Bounds for the Inhomogenous Burgers and the Kuramoto-Sivashinsky Equations
- Nonlinear interfacial stability of core-annular film flows
- Further accuracy and convergence results on the modeling of flows down inclined planes by weighted-residual approximations
- Nonlinear evolution of nonuniformly heated falling liquid films
- The flow of a liquid film along a periodic wall
- Long waves on a thin fluid layer flowing down an inclined plane
- Stability of the kuramoto‐sivashinsky and related systems
- Linearly implicit methods for nonlinear parabolic equations
- On the instability of a falling film due to localized heating
- Marangoni instability of a thin liquid film heated from below by a local heat source
- Thermocapillary instability and wave formation on a film falling down a uniformly heated plane
- Existence and uniqueness of optimal control to the Navier–Stokes equations
- Stabilizing non-trivial solutions of the generalized Kuramoto–Sivashinsky equation using feedback and optimal control
- Nonlinear dynamics of a dispersive anisotropic Kuramoto–Sivashinsky equation in two space dimensions
- Injection-Suction Control for Two-Dimensional Navier--Stokes Equations with Slippage
- New bounds for the Kuramoto‐Sivashinsky equation
- Gravity-driven flow of continuous thin liquid films on non-porous substrates with topography
- Effect of surfactant on the stability of film flow down an inclined plane
- Three-dimensional instabilities of quasi-solitary waves in a falling liquid film
- Thin films flowing down inverted substrates: Three-dimensional flow
- Stability of film flow over inclined topography based on a long-wave nonlinear model
- Bottom reconstruction in thin-film flow over topography: Steady solution and linear stability
- Experimental observation of gravity–capillary solitary waves generated by a moving air suction
- Flow of a liquid layer over heated topography
- Three-dimensional wave evolution on electrified falling films
- Wave evolution on electrified falling films
- Wave patterns in film flows: modelling and three-dimensional waves
- Long Waves on Liquid Films
- Finite-amplitude stability of a parallel flow with a free surface
- Three-Dimensional Long Waves on a Liquid Film
- Occurrence of Finite-Amplitude Surface Waves on Falling Liquid Films
- Engineering Flows in Small Devices: Microfluidics Toward a Lab-on-a-Chip
- Stability of Liquid Flow down an Inclined Plane
- Mathematical control theory: an introduction
- Analyticity and Gevrey class regularity for a Kuramoto-Sivashinsky equation in space dimension two
- Evaluating the dimension of an inertial manifold for the Kuramoto-Sivashinsky equation.
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