Well-Posed Nonlinear Problems (eBook)

A Study of Mathematical Models of Contact
Artikelnummer: 978-3-031-41416-9
Einband: PDF
Verfügbarkeit: Download, sofort verfügbar (Link per E-Mail)
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This monograph presents an original method to unify the mathematical theories of well-posed problems and contact mechanics. The author uses a new concept called the Tykhonov triple to develop a well-posedness theory in which every convergence result can be interpreted as a well-posedness result. This will be useful for studying a wide class of nonlinear problems, including fixed-point problems, inequality problems, and optimal control problems. Another unique feature of the manuscript is the unitary treatment of mathematical models of contact, for which new variational formulations and convergence results are presented. Well-Posed Nonlinear Problems will be a valuable resource for PhD students and researchers studying contact problems. It will also be accessible to interested researchers in related fields, such as physics, mechanics, engineering, and operations research.
This monograph presents an original method to unify the mathematical theories of well-posed problems and contact mechanics. The author uses a new concept called the Tykhonov triple to develop a well-posedness theory in which every convergence result can be interpreted as a well-posedness result. This will be useful for studying a wide class of nonlinear problems, including fixed-point problems, inequality problems, and optimal control problems. Another unique feature of the manuscript is the unitary treatment of mathematical models of contact, for which new variational formulations and convergence results are presented. Well-Posed Nonlinear Problems will be a valuable resource for PhD students and researchers studying contact problems. It will also be accessible to interested researchers in related fields, such as physics, mechanics, engineering, and operations research.
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VerlagSpringer International Publishing
EinbandPDF
Erscheinungsjahr2023
Seitenangabe405 S.
AusgabekennzeichenEnglisch
AbbildungenXVIII, 405 p. 15 illus., 1 illus. in color.
Masse13'940 KB
PlattformPDF
ReiheAdvances in Mechanics and Mathematics; Mathematics and Statistics; Mathematics and Statistics
AutorSofonea, Mircea

Alle Bände der Reihe "Advances in Mechanics and Mathematics; Mathematics and Statistics; Mathematics and Statistics (R0)"

Über den Autor Mircea Sofonea

Mircea Sofonea earned his PhD from the University of Bucarest, Romania, and his habilitation at the Université Blaise Pascal of Clermont-Ferrand (France).He is currently a Distinguished Profesor of Applied Mathematics at the University of Perpignan Via Domitia, France and a honorary member of the Institute of Mathematics, Romanian Academy of Sciences. His areas of interest and expertise include multivalued operators, variational and hemivariational inequalities, solid mechanics, contact mechanics and numerical methods for partial differential equations. Most of his reseach is dedicated to the Mathematical Theory of Contact Mechanics, of which he is one of the main contributors. His ideas and results were published in nine books, four monographs, and more than three hundred research articles. Stanislaw Migórski earned his PhD degree and the habilitation from the Jagiellonian University in Krakow, Poland. He is currently a Full Honorary Professor and Chair of Optimization and Control Theory at Jagiellonian University in Krakow. His areas of interest and expertise include mathematical analysis, differential equations, mathematical modelling, methods and technics of nonlinear analysis, homogenization, control theory, computational methods and pplications of partial differential equations to mechanics. His research results are internationally recognized and were published in six books, four monographs, and more than two hundred research articles.

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