Advances nonlinear evolution equations (4 Ergebnisse)
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Sprache: Englisch
Verlag: Providence, American Mathematical Society [1995]., 1995
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Hardcover. Zustand: Gut. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 00A10 AME Ser.2/vol.164 978082184123…5 Sprache: Englisch Gewicht in Gramm: 1150.
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Zustand: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | The topic of this book is the mathematical and numerical analysis of some recent frameworks based on differential equations and their application in the mathematical modeling of complex systems, especially of living matter. First, the recent…new mathematical frameworks based on generalized kinetic theory, fractional calculus, inverse theory, Schrödinger equation, and Cahn-Hilliard systems are presented and mathematically analyzed. Specifically, the well-posedness of the related Cauchy problems is investigated, stability analysis is also performed (including the possibility to have Hopf bifurcations), and some optimal control problems are presented. Second, this book is concerned with the derivation of specific models within the previous mentioned frameworks and for complex systems in biology, epidemics, and engineering. This book is addressed to graduate students and applied mathematics researchers involved in the mathematical modeling of complex systems.
Sprache: Englisch
Verlag: Springer Nature Singapore, 2025
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book presents a collection of significant and original contributions that delve into the realm of nonlinear evolution equations and their applications, encompassing both theory and practical usage. Serving as a dynamic platform for interdisciplinary co…llaboration, it facilitates the exchange of innovative ideas among scientists from diverse fields who share a keen interest in the intricate world of evolution equations. The book bridges the gap between theory and practicality, offering valuable insights for researchers and enthusiasts alike, transcending disciplinary boundaries.Evolution equations, a subset of partial differential equations, serve as mathematical tools to depict the temporal transformation of physical systems from their initial states. These equations find widespread utility in modeling various real-world phenomena across diverse disciplines. Notable examples of nonlinear evolution equations include the heat equation, which characterizes the evolution of heat distribution over time; the nonlinear Schrödinger equation, instrumental in understanding data transmission in fiber optic communication systems; the Korteweg-de Vries equation, illuminating the dynamics of surface water waves; and the portrayal of ion-acoustic waves in cold plasma.
