Hans Lindblad

curriculum vitae



712s18 Topics in Mathematical Physics: General Relativity. Spring 2018
302 Differential Equations. Fall 2014
712 Topics in Mathematical Physics: General Relativity. Spring 2014
753 Topics in Mathematical Physics: General Relativity. Fall 2010
631 Partial differential equations I: Linear Equations mostly Elliptic.
632 Partial differential equations II: Variable coefficient and nonlinear Equations mostly hyperbolic.
211 Honors Multivariable Calculus.
742 Topics in Partial Differential Equations: Blow-up for nonlinear wave equations. Fall 2011


My research concerns basic mathematical questions about nonlinear wave equations arising in Physics. I am interested in existence, stability and behavior of solutions to hyperbolic differential equations. Many important equations in physics can be written as systems of nonlinear wave equations, e.g. equations of continuum mechanics and Euler's equations, describing the motion of elastic bodies and fluids, Einstein's equations of general relativity, that relate the geometry of space-time to the motion of matter, Yang-Mills' equations that generalize Maxwell's equations of electromagnetism. Specifically I work on References to my published work can be found at MathSciNet and my preprints can be downloaded at arXiv. Slides for some talks can be download here: Free boundary problems for fluids   Global existence for Einstein's equations in wave coordinates.   Counterexamples to local existence with rough data.