ABSTRACT In this talk, we introduce a new type of variational problem without any ellipticity or monotonicity condition....

Abstract In the first part of the talk, we consider the optimal consumption problem with reference to the past spending maximum....

ABSTRACT Soliton resolution, roughly speaking, says that any reasonable solution to a disperive equation eventually resolves into a superposition of a radiation component plus a finite number of "n...

Abstract We study the three-dimensional Prandtl equations without any structure condition and prove that the system is locally well-posed in the Gevrey function space with Gevrey index in ]1,2]....

Abstract The theory of Mean Field Games was invented to study the limit of Nash equilibria of differential games when the number of players tends to infinity. It was introduced by J.-M....

Abstract Introduced in 1757 by Leonhard Euler, Euler Equations are still one of the most important and widely studied equations in mathematics and physics....