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The Periodic Unfolding Method - Theory and Applications to Partial Differential Problems (Hardcover, 1st ed. 2018)
Loot Price: R4,764
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The Periodic Unfolding Method - Theory and Applications to Partial Differential Problems (Hardcover, 1st ed. 2018)
Series: Series in Contemporary Mathematics, 3
Expected to ship within 12 - 17 working days
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This is the first book on the subject of the periodic unfolding
method (originally called "eclatement periodique" in French), which
was originally developed to clarify and simplify many questions
arising in the homogenization of PDE's. It has since led to the
solution of some open problems. Written by the three mathematicians
who developed the method, the book presents both the theory as well
as numerous examples of applications for partial differential
problems with rapidly oscillating coefficients: in fixed domains
(Part I), in periodically perforated domains (Part II), and in
domains with small holes generating a strange term (Part IV). The
method applies to the case of multiple microscopic scales (with
finitely many distinct scales) which is connected to partial
unfolding (also useful for evolution problems). This is discussed
in the framework of oscillating boundaries (Part III). A detailed
example of its application to linear elasticity is presented in the
case of thin elastic plates (Part V). Lastly, a complete
determination of correctors for the model problem in Part I is
obtained (Part VI). This book can be used as a graduate textbook to
introduce the theory of homogenization of partial differential
problems, and is also a must for researchers interested in this
field.
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