3 papers
math.AP2025
Symmetric hyperbolic systems and shock waves
Satyanad Kichenassamy
The theory of symmetric-hyperbolic systems is useful for constructing smooth solutions of nonlinear wave equations, and for studying their singularities, including shock waves. We…
physics.hist-ph2025
Wave Mechanics and C-equivalence
Satyanad Kichenassamy
We establish that de Broglie's wave, as it is introduced in his Thesis, is not a wave on a given space, but on the contrary itself determines a system in which Special Relativity i…
math.AP2025
Perimeter on a manifold, with applications to partial differential equations
Satyanad Kichenassamy
The perimeter of a measurable subset of is the total variation of its characteristic function. We generalize this notion to a subset of a closed Riemannian manifo…