Free and Moving Boundaries Analysis, Simulation and Control

Featuring contributions from international experts, Free and Moving Boundaries: Analysis, Simulation and Control emphasizes numerical and theoretical control of moving boundaries in fluid structure couple systems, arteries, shape stabilization level methods, family of moving geometries, and boundary control. It explores the problems of optimal control theory applied to partial differential equations arising from continuum mechanics. It also specifically addresses the topics of boundary variation and control, dynamical control of geometry, optimization, and inverse problems arising in such areas as biomathematics and controlling fluid-structure devices.

Addressing algebraic problems found in biomathematics and energy, Free and Moving Boundaries: Analysis, Simulation and Control discusses moving boundary and boundary control in systems described by partial differential equations (PDEs). With contributions from international experts, the book emphasizes numerical and theoretical control of moving boundaries in fluid structure couple systems, arteries, shape stabilization level methods, family of moving geometries, and boundary control. Using numerical analysis, the contributors examine the problems of optimal control theory applied to PDEs arising from continuum mechanics. The book presents several applications to electromagnetic devices, flow, control, computing, images analysis, topological changes, and free boundaries. It specifically focuses on the topics of boundary variation and control, dynamical control of geometry, optimization, free boundary problems, stabilization of structures, controlling fluid-structure devices, electromagnetism 3D, and inverse problems arising in areas such as biomathematics. Free and Moving Boundaries: Analysis, Simulation and Control explains why the boundary control of physical systems can be viewed as a moving boundary control, empowering the future research of select algebraic areas.

Optimal Tubes: Geodesic Metric, Euler Flow, Moving Domain J.P. Zolésio Numerical Simulation of Pattern Formation in a Rotating Suspension of Non-Brownian Settling Particles Tsorg-Whay Pan and Roland Glowinski On the Homogenization of Optimal Control Problems on Periodic Graphs P.I. Kogut and G. Leugering Lift and Sedimentation of Particles in the Flow of a Viscoelastic Liquid in a Channel G.P. Galdi and V. Heuveline Modeling and Simulation of Liquid-Gas Free Surface Flows A. Caboussat, M. Picasso, and J. Rappaz Transonic Regular Reflection for the Unsteady Transonic Small Disturbance Equation Detail of the Subsonic Solution K. Jegdic, B.L. Keyfitz, and S. Canic Shape Optimization for 3D Electrical Impedance Tomography K. Eppler and H. Harbrecht Analysis of the Shape Gradient in Inverse Scattering P. Dubois and J.P. Zolésio Array Antenna Optimization L. Blanchard and J.P. Zolésio The Stokes Basis for 3D Incompressible Flow Fields G. Auchmuty Nonlinear Aeroelasticity: Continuum Theory-Flutter/Divergence Speed, Plate Wing Model A.V. Balakrishnan Differential Riccati Equations for the Bolza Problem Associated with Point Boundary Control of Singular Estimate Control Systems I. Lasiecka and A. Tuffaha Energy Decay Rates for the Semilinear Wave Equation with Nonlinear Localized Damping and Source Terms—An Intrinsic Approach I. Lasiecka and D. Toundykov Electromagnetic 3D Reconstruction by Level-Set with Zero Capacity Connecting Sets C. Dedeban, P. Dubois, and J.P. Zolésio Shape and Geometric Methods in Image Processing M. Dehaes and M. Delfour Topological Derivatives for Contact Problems J. Sokolowski and A. Zochowski The Computing Zoom J. Henry An Optimization Approach for the Delamination of a Composite Material with Non-Penetration M. Hintermuller, V.A. Kovtunenko, and K. Kunish Adaptive Refinement Techniques in Homogenization Design Method R.H.W. Hoppe and S.I. Petrova Nonlinear Stability of the Flat-Surface State in Faraday Experiment G. Guidoboni A Dynamical Programming Approach in Hilbert Spaces for a Family of Applied Delay Optimal Control Problems Giorgio Fabbri A Posteriori Error Estimates of Recovery Type for Parameter Estimation Problem in Linear Elastic Problem T. Feng, M. Gulliksson, and W. Liu Tube Derivative of Non-Cylindrical Shape Functionals and Variational Formulations R. Dziri and J.P. Zolésio A Stochastic Riccati Equation for a Hyperbolic-Like System with Point and/or Boundary Control C. Hafizoglu