Math Planck People

Sam G. Krupa

I’m Sam G. Krupa, and I’m a postdoc in the group of László Székelyhidi. I did my PhD at The University of Texas at Austin under the supervision of Alexis F. Vasseur. Previously, I was a postdoc at the Institute for Advanced Study. My research focuses on both the well-posedness and ill-posedness theory for conservation laws, including the compressible Euler equations, the p-system, the equations for an ideal gas, and the system of shallow water waves.

My work falls broadly into two parts:

  1. Studying the positive side of well-posedness and finding stability theorems using the theories of shifts and a-contraction, and
  2. Studying rough solutions and ill-posedness via convex integration.