معرفی
Stanley Snelson is an Associate Professor at the Department of Mathematics and Systems Engineering, College of Engineering and Science, Florida Institute of Technology. His research focuses on partial differential equations (PDEs) with applications to kinetic theory, shape optimization, and nonlinear waves.
- Kinetic Theory: Boltzmann and Landau equations, statistical physics, particle dynamics
- Shape Optimization: Minimal domains for eigenvalues, free boundary problems
- Nonlinear Waves: Stability of solitary waves, wave equations with nonlinear terms
His recent work includes regularity theory for the Landau equation and stability analysis of variable-coefficient scalar-field equations. Supported by NSF Grant DMS-2213407, he collaborates with researchers like C. Henderson, A. Tarfulea, and E. Teixeira. Publications span top journals including Transactions of the AMS and SIAM Journal on Mathematical Analysis.
Key applications of his research include modeling wave propagation, structural design optimization, and plasma dynamics. Current and former collaborations with the Simons Foundation and Oak Ridge Associated Universities highlight his contributions to mathematical physics.
