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math.AP2023★ 1 cited
Proof of the transverse instability of Stokes waves
Ryan P. Creedon, Huy Q. Nguyen, W. A. Strauss
A Stokes wave is a traveling free-surface periodic water wave that is constant in the direction transverse to the direction of propagation. In 1981 McLean discovered via numerical…
math.AP2023
Slowly traveling gravity waves for Darcy flow: existence and stability of large waves
John Brownfield, Huy Q. Nguyen
We study surface gravity waves for viscous fluid flows governed by Darcy's law. The free boundary is acted upon by an external pressure posited to be in traveling wave form with a…
math.AP2023
Large traveling capillary-gravity waves for Darcy flow
Huy Q. Nguyen
We study capillary-gravity surface waves for fluid flows governed by Darcy's law. This includes flows in vertical Hele-Shaw cells and in porous media (the one-phase Muskat problem)…