Abstract
Nonlinear PDEs are ubiquitous in applications. Typically they are more difficult to deal with than linear PDEs. The main goal of this chapter is to introduce techniques to study nonlinear multiscale problems. These techniques are based on the notion of Γ-convergence and they are applied to the homogenization of nonlinear variational problems. The notion of Γ- convergence is also widely outside the homogenization theory. Starting with an abstract framework and presenting some general facts on Γ-convergence, we then proceed with the homogenization of integral functionals. We use a 1D setting to explain ideas of the techniques while minimizing the technicalities.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
