Boundary Control Of Quasi Linear Hyperbolic Initial Boundary Value Problem
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Boundary Control Of Quasi Linear Hyperbolic Initial Boundary Value Problem
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Author : Jonathan de Halleux
language : en
Publisher: Presses univ. de Louvain
Release Date : 2004
Boundary Control Of Quasi Linear Hyperbolic Initial Boundary Value Problem written by Jonathan de Halleux and has been published by Presses univ. de Louvain this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Science categories.
The thesis presents different control design approaches for stabilizing networks of quasi-linear hyperbolic partial differential equations. These equations are usually conservative, which gives them interesting properties to design stabilizing control laws. Two main design approaches are developed: a methodology based on entropies and Lyapunov functions and a methodology based on the Riemann invariants. The stability theorems are illustrated using numerical simulations. Two practical applications of these methodologies are presented. Network of navigation channels are modelled using the Saint-Venant equation (also known as the Shallow Water Equations). The stabilization problem of such system has an industrial importance in order to satisfy the navigation constraints and to optimize the production of electricity in hydroelectric plants, usually located at each hydraulic gate. A second application deals with the regulation of water waves in moving tanks. This problem is also modelled by a modified version of the shallow water equations and appears in a number industrial fields which deal with liquid moving parts.
Initial Boundary Value Problems And The Navier Stokes Equation
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Author : Heinz-Otto Kreiss
language : en
Publisher: SIAM
Release Date : 2004-01-01
Initial Boundary Value Problems And The Navier Stokes Equation written by Heinz-Otto Kreiss and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Science categories.
Initial-Boundary Value Problems and the Navier-Stokes Equations gives an introduction to the vast subject of initial and initial-boundary value problems for PDEs. Applications to parabolic and hyperbolic systems are emphasized in this text. The Navier-Stokes equations for compressible and incompressible flows are taken as an example to illustrate the results. The subjects addressed in the book, such as the well-posedness of initial-boundary value problems, are of frequent interest when PDEs are used in modeling or when they are solved numerically. The book explains the principles of these subjects. The reader will learn what well-posedness or ill-posedness means and how it can be demonstrated for concrete problems. Audience: when the book was written, the main intent was to write a text on initial-boundary value problems that was accessible to a rather wide audience. Functional analytical prerequisites were kept to a minimum or were developed in the book. Boundary conditions are analyzed without first proving trace theorems, and similar simplifications have been used throughout. This book continues to be useful to researchers and graduate students in applied mathematics and engineering.
Trends In Partial Differential Equations Of Mathematical Physics
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Author : José F. Rodrigues
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30
Trends In Partial Differential Equations Of Mathematical Physics written by José F. Rodrigues and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-30 with Mathematics categories.
This book consists of contributions originating from a conference in Obedo, Portugal, which honoured the 70th birthday of V.A. Solonnikov. A broad variety of topics centering on nonlinear problems is presented, particularly Navier-Stokes equations, viscosity problems, diffusion-absorption equations, free boundaries, and Euler equations.
Inverse Dynamics Of Underactuated Flexible Mechanical Systems Governed By Quasi Linear Hyperbolic Partial Differential Equations
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Author : Ströhle, Timo
language : en
Publisher: KIT Scientific Publishing
Release Date : 2024-02-26
Inverse Dynamics Of Underactuated Flexible Mechanical Systems Governed By Quasi Linear Hyperbolic Partial Differential Equations written by Ströhle, Timo and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-26 with categories.
This work is about the inverse dynamics of underactuated flexible mechanical systems governed by quasi-linear hyperbolic partial differential equations subjected to time-varying Dirichlet boundary conditions that are enforced by unknown, spatially disjunct, hence non-collocated Neumann boundary conditions.
Frontiers In Mathematical Analysis And Numerical Methods In Memory Of Jacques Louis Lions
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Author : Tatsien Li
language : en
Publisher: World Scientific
Release Date : 2004-07-26
Frontiers In Mathematical Analysis And Numerical Methods In Memory Of Jacques Louis Lions written by Tatsien Li and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-26 with Mathematics categories.
This invaluable volume is a collection of articles in memory of Jacques-Louis Lions, a leading mathematician and the founder of the Contemporary French Applied Mathematics School. The contributions have been written by his friends, colleagues and students, including C Bardos, A Bensoussan, S S Chern, P G Ciarlet, R Glowinski, Gu Chaohao, B Malgrange, G Marchuk, O Pironneau, W Strauss, R Temam, etc.The book concerns many important results in analysis, geometry, numerical methods, fluid mechanics, control theory, etc.
Recent Development In Theories And Numerics Proceedings Of The International Conference On Inverse Problems
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Author : Jin Cheng
language : en
Publisher: World Scientific
Release Date : 2003-04-08
Recent Development In Theories And Numerics Proceedings Of The International Conference On Inverse Problems written by Jin Cheng and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-08 with Science categories.
The first International Conference on Inverse Problems was held at the City University of Hong Kong in January 2002. It addressed the theoretical (mathematics), applied (engineering) and development aspects of inverse problems. It was intended to nurture Asian-American-European collaborations in this evolving interdisciplinary area.The scope of the proceedings is wide, reflecting the current flourishing theoretical and numerical researches on inverse problems.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)
Differential Equations Asymptotic Theory In Mathematical Physics
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Author : Zhen Hua
language : en
Publisher: World Scientific
Release Date : 2004
Differential Equations Asymptotic Theory In Mathematical Physics written by Zhen Hua and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
This lecture notes volume encompasses four indispensable mini courses delivered at Wuhan University with each course containing the material from five one-hour lectures. Readers are brought up to date with exciting recent developments in the areas of asymptotic analysis, singular perturbations, orthogonal polynomials, and the application of Gevrey asymptotic expansion to holomorphic dynamical systems. The book also features important invited papers presented at the conference. Leading experts in the field cover a diverse range of topics from partial differential equations arising in cancer biology to transonic shock waves.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings? (ISTP? / ISI Proceedings)? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences
Analytical And Approximate Methods For Complex Dynamical Systems
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Author : Alexander Timokha
language : en
Publisher: Springer Nature
Release Date : 2025-03-16
Analytical And Approximate Methods For Complex Dynamical Systems written by Alexander Timokha and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-16 with Science categories.
This book presents Analytical and Approximate Methods for Complex Dynamical Systems and introduces ideas of discontinuous mapping treated as complex dynamical systems. Mathematicians of world-recognized Ukrainian scientific schools established by M.Krylov, M.Bogolyubov, Yu.Mitropolskiy, and A.Sharkovsky used to cooperate for writing the collective book whose purpose consists of illustrating a synergy of combining diverse (by idea and technique) constructive analytical and approximate approaches and methods in complex dynamical systems which are herein associated with mathematical models of networks, conflict/economic theories, sloshing, soft matter, and even levitating drops. Readers are facilitated to learn contemporary insights, fundamentals (Parts I and III), applications (Part II), and components of theories of bifurcation, synchronization/self-organization, collective dynamics, chaos, solitons, fractional differential equations, symmetry, reduced order modelling, and many others, that makes the book useful for both graduate and postgraduate students, lecturers, researchers, and even engineers dealing with multidimensional dynamic systems.
Siam Journal On Control And Optimization
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Author : Society for Industrial and Applied Mathematics
language : en
Publisher:
Release Date : 2009
Siam Journal On Control And Optimization written by Society for Industrial and Applied Mathematics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Control theory categories.
Iciam 07
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Author : Rolf Jeltsch
language : en
Publisher: European Mathematical Society
Release Date : 2009
Iciam 07 written by Rolf Jeltsch and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
The International Council for Industrial and Applied Mathematics (ICIAM) is the worldwide organization of societies which are dedicated primarily or significantly to applied and/or industrial mathematics. The ICIAM Congresses, held every 4 years, are run under the auspices of the Council with the aim to advance the applications of mathematics in all parts of the world. The Sixth ICIAM Congress was held in Zurich, Switzerland, July 16-20, 2007, and was attended by more than 3000 scientists from 47 countries. This volume collects the invited lectures of this Congress, the appreciations of the ICIAM Prize winners' achievements, and the Euler Lecture celebrating the 300th anniversary of Euler. The authors of these papers are leading researchers in their fields, rigorously selected by a distinguished international program committee. The book presents an overview of contemporary applications of mathematics, new perspectives, and open problems. Topics embrace analysis of and numerical methods for: linear and nonlinear partial differential equations multiscale modeling nonlinear problems involving integral operators controllability and observability asymptotic solutions of Hamilton-Jacobi equations contact problems in solid mechanics topology optimization of structures dissipation inequalities in systems theory greedy algorithms sampling in function space order-value optimization parabolic partial differential equations and deterministic games Moreover, particular applications involve risk in financial markets, radar imaging, brain dynamics, and complex geometric optics applied to acoustics and electromagnetics.