3 papers
math.AP2026
Propagation of nonlinear pulses near diffractive points of any order
Jian Wang, Mark Williams
We construct pulse-type approximate solutions to nonlinear hyperbolic equations near diffractive points, allowing arbitrary (even infinite) order of grazing. We show that in low re…
math.AP2026
Stationary internal waves in a two-dimensional aquarium at low viscosity
Malo Jézéquel, Jian Wang
We prove the uniform solvability of a stationary problem associated to internal waves equation with small viscosity in a two dimensional aquarium with real-analytic boundary, under…
math.AP2025
Orr-Sommerfeld equation and complex deformation
Malo Jézéquel, Jian Wang
For shear flows in a 2D channel, we define resonances near regular values of the shear profile for the Rayleigh equation under an analyticity assumption. This is done via complex d…