2 papers
math.DS2014
Standing waves in near-parallel vortex filaments
W. Craig, C. Garcia-Azpeitia, C-R. Yang
A model derived in [14] for n near-parallel vortex filaments in a three dimensional fluid region takes into consideration the pairwise interaction between the filaments along with…
math.AP2012
An Application of Nash-Moser Theorem to Smooth Solutions of One-Dimensional Compressible Euler Equation with Gravity
Cheng-Hsiung Hsu, Song-Sun Lin, Tetu Makino +1
We study one-dimensional motions of polytropic gas governed by the compressible Euler equations. The problem on the half space under a constant gravity gives an equilibrium which h…