Obstacle Problems in Mathematical Physics (Dover Books on Physics) (Paperback)

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Description


Obstacle problems -- an important category of free boundary problems in the area of mathematical physics -- involve the applicability of elliptic variational inequalities. This research monograph features a three-part treatment of the subject: introducing mathematical physics, discussing unilateral elliptic variational inequalities, and exploring this material in terms of its applications in mechanics and physics.
Part I begins with a look at the obstacle problem that features some free boundary problems and mathematical tools. Part II examines variational inequalities in Hilbert spaces, the smoothness of the variational solution, the coincidence set and the free boundary, and unilateral plateau problems. The final part, which focuses on applications, explores applied obstacle problems as well as dam and Stefan type problems. A substantial bibliography enhances the text.
For advanced undergraduates and graduate students in mathematics and engineering.


Product Details
ISBN: 9780486838588
ISBN-10: 0486838587
Publisher: Dover Publications
Publication Date: August 12th, 2020
Pages: 368
Language: English
Series: Dover Books on Physics