4 papers
Nonlinear stability of the Larson-Penston collapse
Yan Guo, Mahir Hadzic, Juhi Jang +1
We prove nonlinear stability of the Larson-Penston family of self-similarly collapsing solutions to the isothermal Euler-Poisson system. Our result applies to radially symmetric pe…
Hydrostatic bubbles of compressible fluid in an incompressible fluid
Juhi Jang, Ian Tice
We study stationary configurations of compressible barotropic fluids lying inside an incompressible fluid and acted upon by a constant gravitational field. Without gravity, it is a…
Separable motions for self-gravitating hyperelastic matter
Juhi Jang, Trevor M. Leslie
In this paper, we prove the existence of separable solutions to the equations of motion for self-gravitating hyperelastic matter, under an appropriate class of constitutive assumpt…
On the mass transfer in the 3D Pitaevskii model
Juhi Jang, Pranava Chaitanya Jayanti, Igor Kukavica
We examine a micro-scale model of superfluidity derived by Pitaevskii in 1959 which describes the interacting dynamics between superfluid He-4 and its normal fluid phase. This syst…