Speaker
Sinisa Slijepcevic
(University of Zagreb, Department of Mathematics)
Description
We first outline the application of energy methods to analyzing dynamics of semilinear partial differential equations, including exciting connections to geometry, optimisation, theory of inequalities, and others.
We then focus on developing the theory for equations on unbounded domains, by addressing the challenge that the classical energy function is not well defined. We consider a family of 'stacked' dissipative structures and establish their abstract properties. We then prove new convergence and in some cases global existence of solutions results for a general class of reaction diffusion equations, and new convergence results for a Navier Stokes equation in 2d.
This is a joint work with Thierry Gallay.
Primary author
Sinisa Slijepcevic
(University of Zagreb, Department of Mathematics)
