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Lieferstatus:	i.d.R. innert 7-14 Tagen versandfertig
Veröffentlichung:	Oktober 2021
Genre:	Schulbücher
	coefficientidentification / Controllability / Funktionalanalysis und Abwandlungen / heatequationwithmemory / memorykernelidentification / Stability / systemswithmemory / Viscoelasticity / waveequationwithmemory mehr...
ISBN:	9783030802806
EAN-Code:	9783030802806
Verlag:	Springer
Einband:	Gebunden
Sprache:	English
Dimensionen:	H 241 mm / B 160 mm / D 26 mm
Gewicht:	717 gr
Seiten:	368
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

This text addresses systems with persistent memory that are common mathematical models used in the study of viscoelasticity and thermodynamics with memory. In particular, this class of systems is used to model non-Fickian diffusion in the presence of complex molecular structures. Hence, it has wide applications in biology. The book focuses on the properties and controllability of the archetypal heat and wave equations with memory and introduces the dynamic approach to identification problems and the basic techniques used in the study of stability. The book presents several approaches currently used to study systems with persistent memory: Volterra equation in Hilbert spaces, Laplace transform techniques and semigroup methods. The text is intended for a diverse audience in applied mathematics and engineering and it can be used in PhD courses. Readers are recommended to have a background in the elements of functional analysis. Topics of functional analysis which younger readers may need to familiarize with are presented in the book.