Heat Waves

2011
ISBN: 978-1-4614-2949-4
Verlag: Springer

Buch, Englisch, Band 177, 318 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 505 g

Reihe: Applied Mathematical Sciences

This book surveys significant modern contributions to the mathematical theories of generalized heat wave equations. The first three chapters form a comprehensive survey of most modern contributions also describing in detail the mathematical properties of each model. Acceleration waves and shock waves are the focus in the next two chapters. Numerical techniques, continuous data dependence, and spatial stability of the solution in a cylinder, feature prominently among other topics treated in the following two chapters. The final two chapters are devoted to a description of selected applications and the corresponding formation of mathematical models. Illustrations are taken from a broad range that includes nanofluids, porous media, thin films, nuclear reactors, traffic flow, biology, and medicine, all of contemporary active technological importance and interest.

 

This book will be of value to applied mathematicians, theoretical engineers and other practitioners who wish to know both the theory and its relevance to diverse applications.

Zielgruppe

Research

Autoren/Hrsg.

Straughan, Brian

Fachgebiete

• Naturwissenschaften Physik Thermodynamik
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Technik Allgemein Nanotechnologie
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre

Inhaltsverzeichnis

Preface.-Introduction.- Interaction with elasticity.-Interaction with fluids.-Acceleration waves.-Shock waves.-Numerical solutions.-Qualitative estimates.-Spatial decay.-Nanofluids.-Other applications.-References.

Über Autor(innen)

Brian Straughan's research is in partial differential equations, scientific computing, and their applications to problems in the real world.