Distribution Theory Applied to Differential Equations (eBook)
VIII, 276 Seiten
Springer International Publishing (Verlag)
978-3-030-67159-4 (ISBN)
This book presents important contributions to modern theories concerning the distribution theory applied to convex analysis (convex functions, functions of lower semicontinuity, the subdifferential of a convex function). The authors prove several basic results in distribution theory and present ordinary differential equations and partial differential equations by providing generalized solutions. In addition, the book deals with Sobolev spaces, which presents aspects related to variation problems, such as the Stokes system, the elasticity system and the plate equation. The authors also include approximate formulations of variation problems, such as the Galerkin method or the finite element method.
The book is accessible to all scientists, and it is especially useful for those who use mathematics to solve engineering and physics problems. The authors have avoided concepts and results contained in other books in order to keep the book comprehensive. Furthermore, they do not present concrete simplified models and pay maximal attention to scientific rigor.
Adina Chirila is Assistant Professor at the Department of Mathematics and Computer Science at Transilvania University of Brasov. She obtained her Bachelor's degree and her Ph.D. in Mathematics from the same university. As an international experience, she spent two years in Germany at the Rheinische Friedrich-Wilhelms University of Bonn, from where she graduated with a Master's degree. She was also a visiting doctoral researcher at the University of Padua in Italy. Her scientific interests lie in differential equations, partial differential equations, equations of evolution and scientific computing with applications in mechanics.
Marin Marin is Professor in Mathematics at the Department of Mathematics and Computer Science at Transilvania University of Brasov, Romania. In 1994, he received his Ph.D. in Mathematics at the University of Bucharest, Faculty of Mathematics. Also from the University of Bucharest, the Faculty of Mathematics, he received in 2013 the title of 'Habilitat Professor'. In 2012, he received the 'Spiru Haret' award of the Romanian Academy, and in 2019 the title of 'Professor Honoris Causa' of the Ovidius University of Constanta. Professor Marin is an eminent scientist in Applied Mathematics and has contributed various books as well as research papers in many valuable SCI indexed journals. His WOS H-index is 36.
Andreas Öchsner is Full Professor of Lightweight Design and Structural Simulation at Esslingen University of Applied Sciences, Germany. After completing his Dipl.-Ing. degree in Aeronautical Engineering at the University of Stuttgart (1997), he served as a research and teaching assistant at the University of Erlangen-Nuremberg from 1997 to 2003 while pursuing his Doctor of Engineering Sciences (Dr.-Ing.) degree. From 2003 to 2006, he was Assistant Professor at the Department of Mechanical Engineering and Head of the Cellular Metals Group affiliated with the University of Aveiro, Portugal. He spent seven years (2007-2013) as Full Professor at the Department of Applied Mechanics, Technical University of Malaysia, where he was also Head of the Advanced Materials and Structure Lab. From 2014 to 2017, he was Full Professor at the School of Engineering, Griffith University, Australia, and Leader of the Mechanical Engineering Program (Head of Discipline and Program Director).
Erscheint lt. Verlag | 8.2.2021 |
---|---|
Zusatzinfo | VIII, 276 p. 1 illus. |
Sprache | englisch |
Themenwelt | Mathematik / Informatik ► Mathematik ► Statistik |
Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
Naturwissenschaften ► Physik / Astronomie | |
Technik ► Bauwesen | |
Schlagworte | Convex Functions • Differential Operators • Evolution Equations • Finite Element Method • Lower-semicontinuous Functions • Sobolev Space • subdifferential • Tempered distributions • variational formulation • weak solutions |
ISBN-10 | 3-030-67159-3 / 3030671593 |
ISBN-13 | 978-3-030-67159-4 / 9783030671594 |
Haben Sie eine Frage zum Produkt? |
![PDF](/img/icon_pdf_big.jpg)
Größe: 3,2 MB
DRM: Digitales Wasserzeichen
Dieses eBook enthält ein digitales Wasserzeichen und ist damit für Sie personalisiert. Bei einer missbräuchlichen Weitergabe des eBooks an Dritte ist eine Rückverfolgung an die Quelle möglich.
Dateiformat: PDF (Portable Document Format)
Mit einem festen Seitenlayout eignet sich die PDF besonders für Fachbücher mit Spalten, Tabellen und Abbildungen. Eine PDF kann auf fast allen Geräten angezeigt werden, ist aber für kleine Displays (Smartphone, eReader) nur eingeschränkt geeignet.
Systemvoraussetzungen:
PC/Mac: Mit einem PC oder Mac können Sie dieses eBook lesen. Sie benötigen dafür einen PDF-Viewer - z.B. den Adobe Reader oder Adobe Digital Editions.
eReader: Dieses eBook kann mit (fast) allen eBook-Readern gelesen werden. Mit dem amazon-Kindle ist es aber nicht kompatibel.
Smartphone/Tablet: Egal ob Apple oder Android, dieses eBook können Sie lesen. Sie benötigen dafür einen PDF-Viewer - z.B. die kostenlose Adobe Digital Editions-App.
Buying eBooks from abroad
For tax law reasons we can sell eBooks just within Germany and Switzerland. Regrettably we cannot fulfill eBook-orders from other countries.
aus dem Bereich