Evolutionary Dynamic Equations
Stabilizability, Observability, and Controllability
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Beschreibung
The book discusses the stability, observability, and controllability of nonlinear systems of PDEs (such as Wave, Heat, Euler-Bernoulli beam, Petrovsky, Kirchhoff, equations, and more). Methods based on the theory of classical weak functions analysis and movements in Sobolev spaces are used to analyze nonlinear systems of evolutionary partial differential equations. With the unifying theme of evolutionary dynamic equations, both linear and nonlinear, in more complex environments with different approaches, the book presents a multidisciplinary blend of topics, spanning the fields of PDEs applied to various models coming from theoretical physics, biology, engineering, and natural sciences.
This comprehensive book is prepared for a diverse audience interested in applied mathematics. With its broad applicability, this book aims to foster interdisciplinary collaboration and facilitate a deeper understanding of complex phenomenon concepts, practically in electromagnetic waves, the acoustic model for seismic waves, waves in blood vessels, wind drag on space, the linear shallow water equations, sound waves in liquids and gases, non-elastic effects in the string.
Autor*in
Akram Ben Aissa
Themen in »Evolutionary Dynamic Equations«
Evolutionäre partielle Differentialgleichungen Dynamische Gleichungen Steuerbarkeit Beobachtbarkeit Stabilisierbarkeit Evolutionary partial differential equations Dynamic equations Controllability Observability Stabilizability