This course is an introduction to the theory of non-linear wave equations. The plan is to cover the following topics: (1) The linear wave equation in Minkowski space: Representation formula, Fourier ...

Annals of Mathematics, SECOND SERIES, Vol. 183, No. 3 (May, 2016), pp. 787-913 (127 pages) ...

Time-domain finite-difference (TDFD) method is the most dominant approach for seismic wavefield simulation. Due to the memory and computational cost of the computer, finite-difference (FD) simulations ...

All the tech we rely on, from cars to smartphones, was engineered using physics. You don’t need to know the science to use these things. But a well-rounded human should understand at least some of the ...

Annals of Mathematics, Second Series, Vol. 161, No. 3 (May, 2005), pp. 1143-1193 (51 pages) This is the first in a series of papers in which we initiate the study of very rough solutions to the ...