21 citations · 40 across the 4 of their papers we have counts for
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The fourth order nonlinear Schrodinger limit for quantum Zakharov system
Yung-Fu Fang, Chi-Kun Lin, Jun-ichi Segata
This paper is concerned with the quantum Zakharov system. We prove that when the ionic speed of sound goes to infinity, the solution to the fourth order Schrodinger part of the qua…
Anelastic Approximation of the Gross-Pitaevskii equation for General Initial Data
Chi-Kun Lin, Kung-Chien Wu
We perform a rigorous analysis of the anelastic approximation for the Gross-Pitaevskii equation with -dependent chemical potential. For general initial data and periodic boundar…
On one dimensional Quantum Zakharov system
Jin-Cheng Jiang, Chi-Kun Lin, Shuanglin Shao
In this paper, we discuss the properties of one dimensional quantum Zakharov system which describes the nonlinear interaction between the quantum Langmuir and quantum ion-acoustic…
An asymptotic limit of a Navier-Stokes system with capillary effects
A. Jüngel, C. -K. Lin, K. -C. Wu
A combined incompressible and vanishing capillarity limit in the barotropic compressible Navier-Stokes equations for smooth solutions is proved. The equations are considered on the…