1. 일 시 : 2025년 10월 17일 (금) 오후 4:00-5:00
2. 장 소 : 아산이학관 526호
3. 연 사 : 김성학 교수님 (경북대 수학과)
4. 제 목 : Convex integration and applications to PDEs
5. 초 록 : We begin the talk by introducing the concept of an h-principle that is mostly accessible through the two important methods. One of the methods is the convex integration that was successfully used by Mueller and Sverak and has been applied to many important PDEs. The other is the so called Baire category method that was mainly studied by Dacorogna and Marcellini. We then exhibit several examples of application of convex integration to some important PDE problems. In particular, we shall sketch some ideas of proof such as in the p-Laplace equation and its parabolic analogue, Euler-Lagrange equation of a polyconvex energy, gradient flow of a polyconvex energy and polyconvex elastodynamics.