Identification et approximation numérique de paramètres physiques pour un système parabolique semi-linéaire PDF Download
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Book Description
Dans ce travail nous présentons des méthodes numériques pour la résolution de problèmes inverses gouvernés par des équations aux dérivées partielles semi-linéaires couplées avec des termes non linéaires discontinus. Un premier résultat a été obtenu concernant l'identification du coefficient de diffusion lorsque le flux relargué est observé. En mesurant le flux sur une partie du bord de domaine nous montrons pour un problème de dissolution-diffusion que le coefficient de diffusion est identifiable et nous proposons un algorithme numérique adapté à la discontinuité du terme non linéaire pour le calculer. L'autre sujet de ce travail concerne l'identification d'un polluant en phase liquide pouvant s'évaporer. Un modèle macroscopique décrivant l'évaporation d'une substance organique volatile dans un milieu poreux est proposé. En considérant un modèle mathématique à double porosités, nous identifions la concentration initiale du polluant en phase liquide. Nous mettons en place une méthode basée sur un développement asymptotique qui permet d'identifier la concentration initiale du polluant en phase liquide, le coefficient de diffusion et le coefficient d'échange entre les phases liquide et gazeuse. Ce problème d'identification est considéré comme un problème de contrôle optimal qu'on résout à l'aide d'une approche Lagrangienne. La difficulté principale de tels problèmes réside dans la non-linéarité de la variable d'état par rapport au contrôle. Mentionnons qu'un inconvénient important de cette méthode est qu'elle est coûteuse en temps de calcul pour calculer les solutions approchées
Book Description
Dans ce travail nous présentons des méthodes numériques pour la résolution de problèmes inverses gouvernés par des équations aux dérivées partielles semi-linéaires couplées avec des termes non linéaires discontinus. Un premier résultat a été obtenu concernant l'identification du coefficient de diffusion lorsque le flux relargué est observé. En mesurant le flux sur une partie du bord de domaine nous montrons pour un problème de dissolution-diffusion que le coefficient de diffusion est identifiable et nous proposons un algorithme numérique adapté à la discontinuité du terme non linéaire pour le calculer. L'autre sujet de ce travail concerne l'identification d'un polluant en phase liquide pouvant s'évaporer. Un modèle macroscopique décrivant l'évaporation d'une substance organique volatile dans un milieu poreux est proposé. En considérant un modèle mathématique à double porosités, nous identifions la concentration initiale du polluant en phase liquide. Nous mettons en place une méthode basée sur un développement asymptotique qui permet d'identifier la concentration initiale du polluant en phase liquide, le coefficient de diffusion et le coefficient d'échange entre les phases liquide et gazeuse. Ce problème d'identification est considéré comme un problème de contrôle optimal qu'on résout à l'aide d'une approche Lagrangienne. La difficulté principale de tels problèmes réside dans la non-linéarité de la variable d'état par rapport au contrôle. Mentionnons qu'un inconvénient important de cette méthode est qu'elle est coûteuse en temps de calcul pour calculer les solutions approchées
Author: Publisher: Lulu.com ISBN: 1430318678 Category : Reference Languages : en Pages : 385
Book Description
This volume presents a catalogue of over 2000 doctoral theses by Africans in all fields of mathematics, including applied mathematics, mathematics education and history of mathematics. The introduction contains information about distribution by country, institutions, period, and by gender, about mathematical density, and mobility of mathematicians. Several appendices are included (female doctorate holders, doctorates in mathematics education, doctorates awarded by African universities to non-Africans, doctoral theses by non-Africans about mathematics in Africa, activities of African mathematicians at the service of their communities). Paulus Gerdes compiled the information in his capacity of Chairman of the African Mathematical Union Commission for the History of Mathematics in Africa (AMUCHMA). The book contains a preface by Mohamed Hassan, President of the African Academy of Sciences (AAS) and Executive Director of the Academy of Sciences for the Developing World (TWAS). (383 pp.)
Author: S. Friedlander Publisher: Gulf Professional Publishing ISBN: 008053354X Category : Science Languages : en Pages : 627
Book Description
The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.
Author: Ahmed Belasri Publisher: Springer Nature ISBN: 9811554447 Category : Technology & Engineering Languages : en Pages : 659
Book Description
This book highlights peer reviewed articles from the 1st International Conference on Renewable Energy and Energy Conversion, ICREEC 2019, held at Oran in Algeria. It presents recent advances, brings together researchers and professionals in the area and presents a platform to exchange ideas and establish opportunities for a sustainable future. Topics covered in this proceedings, but not limited to, are photovoltaic systems, bioenergy, laser and plasma technology, fluid and flow for energy, software for energy and impact of energy on the environment.
Author: Don Montague Publisher: Taylor & Francis ISBN: 9780419199106 Category : Architecture Languages : en Pages : 472
Book Description
This dual-language dictionary lists over 20,000 specialist terms in both French and English, covering architecture, building, engineering and property terms. It meets the needs of all building professionals working on projects overseas. It has been comprehensively researched and compiled to provide an invaluable reference source in an increasingly European marketplace.
Author: Jean-Louis Barrat Publisher: Cambridge University Press ISBN: 9780521789530 Category : Science Languages : en Pages : 410
Book Description
Presenting a unified approach, this book focusses on the concepts and theoretical methods that are necessary for an understanding of the physics and chemistry of the fluid state. The authors do not attempt to cover the whole field in an encyclopedic manner. Instead, important ideas are presented in a concise and rigorous style, and illustrated with examples from both simple molecular liquids and more complex soft condensed matter systems such as polymers, colloids, and liquid crystals.
Author: International Maritime Organization Publisher: ISBN: Category : Architecture Languages : en Pages : 172
Book Description
The International Code on Intact Stability 2008 (2008 IS Code), presents mandatory and recommendatory stability criteria and other measures for ensuring the safe operation of ships, to minimize the risk to such ships, to the personnel on board and to the environment. The 2008 IS Code took effect on 1 July 2010. The 2008 IS Code features:a full update of the previous IS Code; criteria based on the best state-of-the-art concepts available at the time they were developed, taking into account sound design and engineering principles and experience gained from operating ships; influences on intact stability such as the dead ship condition, wind on ships with large windage area, rolling characteristics and severe seas. This publication also presents Explanatory Notes to the 2008 IS Code, intended to provide administrations and the shipping industry with specific guidance to assist in the uniform interpretation and application of the intact stability requirements of the 2008 IS Code.
Author: H. R. Sasse Publisher: Springer ISBN: Category : Science Languages : en Pages : 792
Book Description
Preface Adhesion is a phenomenon architects and civil engineers are not very familiar with. In other disciplines knowledge about surface properties and the background of bonding energies is also far from satisfactory; nevertheless there are many important· applications in concrete engineering, where adhesion is necessary for success and durability. These include: - coating and painting - repair of concrete surfaces - bonding of fresh to old concrete - crack injection - glueing of precast elements - glueing of steel to concrete, etc. In 1981 RILEM established the technical committee 52-RAC 'Resin Adherence to Concrete'. The main aims of the committee's work were - to collect research results and practical experiences - to initiate and coordinate research programs - to develop, on a scientific base, test methods for field and for laboratory purposes. One of the results of the committee's work is a state-of-the-art report, which will be presented orally as a General Report at the International Symposium ISAP '86, and will be printed either in the RILEM journal Materials and Structures or separately. Several test recommendations have been elaborated and will be prepared as drafts for the participants ofISAP '86. These are: - direct tensile test - pull-off test - direct shear test - slant shear test - four-point bending test - dynamic loading test - thermal compatibility test (two versions) - injectibility test.
Author: Abdelghani Roukbi
Author: Abdelghani Roukbi
Author: Gary Chalom Cohen
Author: Dolly Fayad
Author: 
Author: S. Friedlander
Author: Ahmed Belasri
Author: Don Montague
Author: Jean-Louis Barrat
Author: International Maritime Organization
Author: H. R. Sasse