Chipot, M; Lécuyer, V (2001). Some microstructures in three dimensions. In: Falcone, M; Makridakis, C. Numerical methods for viscosity solutions and applications (Heraklion, 1999). River Edge, NJ: World Scientific, 59-76.
The goal of the paper is to analyze the creation of microstructures in problems of Calculus of Variations with wells. More precisely we consider a case with strong incompatibility between the wells in dimension three. This forces the minimizing sequences to use other gradients than the wells in a complicated way.
The goal of the paper is to analyze the creation of microstructures in problems of Calculus of Variations with wells. More precisely we consider a case with strong incompatibility between the wells in dimension three. This forces the minimizing sequences to use other gradients than the wells in a complicated way.
| Item Type: | Book Section, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Uncontrolled Keywords: | microstructure, well, incompatibility, quasi-convex envelope, minimization problems, Young measure, Dirac measures |
| Language: | English |
| Date: | 2001 |
| Deposited On: | 28 Jun 2010 13:48 |
| Last Modified: | 29 Jul 2020 19:44 |
| Publisher: | World Scientific |
| Series Name: | Series on Advances in Mathematics for Applied Sciences |
| Number: | 59 |
| ISBN: | 981-02-4717-6 |
| OA Status: | Closed |
| Official URL: | http://ebooks.worldscinet.com/ISBN/9789812799807/9789812799807_0004.html |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=1886707 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1010.49012 |
Chipot, M