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Vector-Valued Partial Differential Equations and Applications: Cetraro, Italy 2013

✍ Scribed by Bernard Dacorogna, Nicola Fusco, Stefan Müller, Vladimir Sverak (auth.), John Ball, Paolo Marcellini (eds.)


Publisher
Springer International Publishing
Year
2017
Tongue
English
Leaves
256
Series
Lecture Notes in Mathematics 2179
Edition
1
Category
Library

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✦ Synopsis


Collating different aspects of Vector-valued Partial Differential Equations and Applications, this volume is based on the 2013 CIME Course with the same name which took place at Cetraro, Italy, under the scientific direction of John Ball and Paolo Marcellini. It contains the following contributions: The pullback equation (Bernard Dacorogna), The stability of the isoperimetric inequality (Nicola Fusco), Mathematical problems in thin elastic sheets: scaling limits, packing, crumpling and singularities (Stefan MΓΌller), and Aspects of PDEs related to fluid flows (Vladimir SverΓ‘k). These lectures are addressed to graduate students and researchers in the field.






✦ Table of Contents


Front Matter....Pages i-vii
The Pullback Equation....Pages 1-72
The Stability of the Isoperimetric Inequality....Pages 73-123
Mathematical Problems in Thin Elastic Sheets: Scaling Limits, Packing, Crumpling and Singularities....Pages 125-193
Aspects of PDEs Related to Fluid Flows....Pages 195-248
Back Matter....Pages 249-250

✦ Subjects


Calculus of Variations and Optimal Control; Optimization;Partial Differential Equations;Mathematical Physics


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