Vector-Valued Partial Differential Equations and Applications: Cetraro, Italy 2013
β Scribed by Bernard Dacorogna, Nicola Fusco, Stefan MΓΌller, 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
No coin nor oath required. For personal study only.
β¦ 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.
β¦ 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
β¦ Subjects
Calculus of Variations and Optimal Control; Optimization;Partial Differential Equations;Mathematical Physics
π SIMILAR VOLUMES
On Some Recent Advances on Stabilization for Hyperbolic Equations / Fatiha Alabau-Boussouira -- Notes on the Control of the Liouville Equation / Roger Brockett -- Some Questions of Control in Fluid Mechanics / Olivier Glass -- Carleman Estimates and Some Applications to Control Theory / JeΜroΜme Le
Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coordinate systems--rectangular,
Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coordinate systems--rectangular,