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Problemes Inverses De Sources Dans Des Equations De Transport
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Book Synopsis Problèmes Inverses de Sources Dans Des Équations de Transport by : Imed Mahfoudhi
Download or read book Problèmes Inverses de Sources Dans Des Équations de Transport written by Imed Mahfoudhi and published by Presses Academiques Francophones. This book was released on 2014-05-23 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce livre porte sur l'etude de quelques questions liees a l'identifiabilite et l'identification d'un probleme inverse non-lineaire de source. Il s'agit de l'identification d'une source ponctuelle dependante du temps constituant le second membre d'une equation de type advection-dispersion-reaction a coefficients variables. En utilisant quelques resultats de nulle controlabilite frontiere et des mesures de l'etat sur la frontiere sortie et de son flux sur la frontiere entree du domaine etudie, nous avons etabli un theoreme d'identifiabilite et une methode d'identification permettant de localiser la position de la source recherchee comme etant l'unique solution d'un systeme non-lineaire de deux equations, et de transformer l'identification de sa fonction de debit en la resolution d'un probleme de deconvolution. La derniere partie de cette livre discute la difficulte principale rencontree dans ce genre de problemes inverses a savoir la non identifiabilite d'une source dans sa forme abstraite, propose une alternative permettant de surmonter cette difficulte dans le cas particulier ou le but est d'identifier le temps limite a partir duquel la source impliquee a cesse d'emettre.
Book Synopsis Problèmes inverses et régularité en théorie de transport by : Ahmed Zeghal
Download or read book Problèmes inverses et régularité en théorie de transport written by Ahmed Zeghal and published by . This book was released on 1995 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt: DANS CETTE THESE, ON ETUDIE CERTAINS PROBLEMES INVERSES EN THEORIE DU TRANSPORT ET UN PROBLEME INVERSE POUR UNE EQUATION PARABOLIQUE SEMI-LINEAIRE. ON ETUDIE AUSSI DES PROBLEMES DE REGULARITE DE MOYENNES EN VITESSES POUR DES EQUATIONS DE TRANSPORT. LE PREMIER TYPE DE PROBLEMES QU'ON ETUDIE CONSISTE A DETERMINER DES PARAMETRES D'EQUATIONS DE TRANSPORT (TERMES DE SOURCES, DONNEE INITIALE OU SECTIONS EFFICACES) A PARTIR DE CERTAINES INFORMATIONS SUR LA SOLUTION. LE DEUXIEME TYPE DE PROBLEMES QU'ON ETUDIE EST EGALEMENT CONSACRE AU PROBLEME INVERSE, MAIS POUR UNE EQUATION PARABOLIQUE SEMILINEAIRE. A L'AIDE DU PRINCIPE DU MAXIMUM, ON MONTRE L'UNICITE DE LA NON LINEARITE A PARTIR DE DONNEES NEUMANN-DIRICHLET. DANS UN DERNIER TEMPS, ON MONTRE DIFFERENTS RESULTATS DE REGULARITE DE MOYENNES EN TRANSPORT. EN PARTICULIER, NOUS ETENDONS DES RESULTATS DE REGULARITE DES MOYENNES EN VITESSES AUX CAS DE MESURES PLUS GENERALES QUE LES MESURES DE LEBESGUE (CECI PERMET, EN PARTICULIER, UN TRAITEMENT UNIFIE DES EQUATIONS CONTINUES OU MULTIGROUPES)
Book Synopsis Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems by : Mourad Bellassoued
Download or read book Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems written by Mourad Bellassoued and published by Springer. This book was released on 2017-11-23 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a self-contained account of the method based on Carleman estimates for inverse problems of determining spatially varying functions of differential equations of the hyperbolic type by non-overdetermining data of solutions. The formulation is different from that of Dirichlet-to-Neumann maps and can often prove the global uniqueness and Lipschitz stability even with a single measurement. These types of inverse problems include coefficient inverse problems of determining physical parameters in inhomogeneous media that appear in many applications related to electromagnetism, elasticity, and related phenomena. Although the methodology was created in 1981 by Bukhgeim and Klibanov, its comprehensive development has been accomplished only recently. In spite of the wide applicability of the method, there are few monographs focusing on combined accounts of Carleman estimates and applications to inverse problems. The aim in this book is to fill that gap. The basic tool is Carleman estimates, the theory of which has been established within a very general framework, so that the method using Carleman estimates for inverse problems is misunderstood as being very difficult. The main purpose of the book is to provide an accessible approach to the methodology. To accomplish that goal, the authors include a direct derivation of Carleman estimates, the derivation being based essentially on elementary calculus working flexibly for various equations. Because the inverse problem depends heavily on respective equations, too general and abstract an approach may not be balanced. Thus a direct and concrete means was chosen not only because it is friendly to readers but also is much more relevant. By practical necessity, there is surely a wide range of inverse problems and the method delineated here can solve them. The intention is for readers to learn that method and then apply it to solving new inverse problems.
Book Synopsis Transport Equation and Tomography by : D. S. Anikonov
Download or read book Transport Equation and Tomography written by D. S. Anikonov and published by VSP. This book was released on 2002 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals mainly with the results of the authors' research devoted to both the study of the transport equation (the linear Boltzmann equation) and its applications in X-ray tomography. The introduction gives an outline of the book and deals with certain aspects of the methodology. The first part of the book is devoted to the investigation of known and new problems for the stationary transport equation of a general form. New problems are treated as problems of tomography. The second part deals with the monoenergetic transport equation. This book will be of interest to specialists in transport theory and tomography.
Book Synopsis Control and Inverse Problems by : Kaïs Ammari
Download or read book Control and Inverse Problems written by Kaïs Ammari and published by Springer Nature. This book was released on 2023-09-26 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a timely overview of control theory and inverse problems, and highlights recent advances in these active research areas. The chapters are based on talks given at the spring school "Control & Inverse Problems” held in Monastir, Tunisia in May 2022. In addition to providing a snapshot of these two areas, chapters also highlight breakthroughs on more specific topics, such as: Controllability of dynamical systems Information transfer in multiplier equations Nonparametric instrumental regression Control of chained systems The damped wave equation Control and Inverse Problems will be a valuable resource for both established researchers as well as more junior members of the community.
Book Synopsis Inverse Scattering Problems and Their Application to Nonlinear Integrable Equations by : Pham Loi Vu
Download or read book Inverse Scattering Problems and Their Application to Nonlinear Integrable Equations written by Pham Loi Vu and published by CRC Press. This book was released on 2019-11-11 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse Scattering Problems and Their Application to Nonlinear Integrable Equations is devoted to inverse scattering problems (ISPs) for differential equations and their application to nonlinear evolution equations (NLEEs). The book is suitable for anyone who has a mathematical background and interest in functional analysis, partial differential equations, equations of mathematical physics, and functions of a complex variable. This book is intended for a wide community working with inverse scattering problems and their applications; in particular, there is a traditional community in mathematical physics. In this monograph, the problems are solved step-by-step, and detailed proofs are given for the problems to make the topics more accessible for students who are approaching them for the first time. Features • The unique solvability of ISPs are proved. The scattering data of the considered inverse scattering problems (ISPs) are described completely. • Solving the associated initial value problem or initial-boundary value problem for the nonlinear evolution equations (NLEEs) is carried out step-by-step. Namely, the NLEE can be written as the compatibility condition of two linear equations. The unknown boundary values are calculated with the help of the Lax (generalized) equation, and then the time-dependent scattering data (SD) are constructed from the initial and boundary conditions. • The potentials are recovered uniquely in terms of time-dependent SD, and the solution of the NLEEs is expressed uniquely in terms of the found solutions of the ISP. • Since the considered ISPs are solved well, then the SPs generated by two linear equations constitute the inverse scattering method (ISM). The application of the ISM to solving the NLEEs is consistent and is effectively embedded in the schema of the ISM.
Book Synopsis Practical Inverse Problems and Their Prospects by : Takashi TAKIGUCHI
Download or read book Practical Inverse Problems and Their Prospects written by Takashi TAKIGUCHI and published by Springer Nature. This book was released on with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Conferenze by : Università di Bari. Seminario di matematica
Download or read book Conferenze written by Università di Bari. Seminario di matematica and published by . This book was released on 2001 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Inverse Problems, Design and Optimization - vol. 1 by :
Download or read book Inverse Problems, Design and Optimization - vol. 1 written by and published by Editora E-papers. This book was released on with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1884 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Resolution de l'equation eikonale et de l'equation de transport et problemes inverses by : Mounira Zouaghi
Download or read book Resolution de l'equation eikonale et de l'equation de transport et problemes inverses written by Mounira Zouaghi and published by . This book was released on 1996 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quelques Problèmes Inverses Et de Contrôlabilité by : Alberto Carlos Mercado-Saucedo
Download or read book Quelques Problèmes Inverses Et de Contrôlabilité written by Alberto Carlos Mercado-Saucedo and published by . This book was released on 2007 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: The object of this thesis is the study of inverse inequalities for some linear partial differential equations. In the first chapter we study the linear transport-diffusion equation with a diffusion coefficient given by a small positive parameter. We study the controllability for the transport equation and the convergence of the solutions of the transport-diffusion equation when the diffusion goes to zero. We deduce some bound for the cost of the approximate controllability for the transport diffusion equation when the diffusion goes to zero. In the second chapter we consider a transmission wave equation in two embedded domains in Rn, where the speed is a1 > 0 in the inner domain and a2 > 0 in the outer domain. We prove a global Carleman inequality for this problem under some convexity hypothesis for the inner domain, and assuming a2
Book Synopsis Multiple Scattering Processes by : Harriet H. Natsuyama
Download or read book Multiple Scattering Processes written by Harriet H. Natsuyama and published by Addison Wesley Publishing Company. This book was released on 1975 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Inverse Design Methods for the Built Environment by : Qingyan Chen
Download or read book Inverse Design Methods for the Built Environment written by Qingyan Chen and published by Routledge. This book was released on 2017-07-14 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: The inverse design approach is new to the built environment research and design community, though it has been used in other industries including automobile and airplane design. This book, from some of the pioneers of inverse design applications in the built environment, introduces the basic principles of inverse design and the specific techniques that can be applied to built environment systems. The authors' inverse design concept uses the desired enclosed environment as the design objective and inversely determines the systems required to achieve the objective. The book discusses a number of backward and forward methods for inverse design. Backward methods, such as the quasi-reversibility method, the pseudo-reversibility method, and the regularized inverse matrix method, can be used to identify contaminant sources in an enclosed environment. However, these methods cannot be used to inversely design a desired indoor environment. Forward methods, such as the computational-fluid-dynamics (CFD)-based genetic algorithm (GA) method, the CFD-based adjoint method, the CFD-based artificial neural network (ANN) method, and the CFD-based proper orthogonal decomposition (POD) method, show the promise in the inverse design of airflow and heat transfer in an enclosed environment. The book describes the fundamentals of the methods for beginners, provides exciting design examples for the reader to duplicate, discusses the pros and cons of each design method and points out the knowledge gaps for further development.
Book Synopsis Annales de la faculté des sciences de Toulouse by :
Download or read book Annales de la faculté des sciences de Toulouse written by and published by . This book was released on 2000 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NASA Technical Memorandum written by and published by . This book was released on 1963 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Modelling by : Seppo Pohjolainen
Download or read book Mathematical Modelling written by Seppo Pohjolainen and published by Springer. This book was released on 2016-07-14 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough introduction to the challenge of applying mathematics in real-world scenarios. Modelling tasks rarely involve well-defined categories, and they often require multidisciplinary input from mathematics, physics, computer sciences, or engineering. In keeping with this spirit of modelling, the book includes a wealth of cross-references between the chapters and frequently points to the real-world context. The book combines classical approaches to modelling with novel areas such as soft computing methods, inverse problems, and model uncertainty. Attention is also paid to the interaction between models, data and the use of mathematical software. The reader will find a broad selection of theoretical tools for practicing industrial mathematics, including the analysis of continuum models, probabilistic and discrete phenomena, and asymptotic and sensitivity analysis.
