10 citations · 16 across the 5 of their papers we have counts for
8 papers
Nonlinear instability of rolls in the 2-dimensional generalized Swift-Hohenberg equation
Myeongju Chae, Soyeun Jung
Within the framework developed in \cite{Gr, JLL, RT1}, we rigorously establish the nonlinear instability of roll solutions to the two-dimensional generalized Swift-Hohenberg equati…
Stability of strong detonation waves for Majda's model with general ignition functions
Soyeun Jung, Zhao Yang, Kevin Zumbrun
For strong detonation waves of the inviscid Majda model, spectral stability was established by Jung and Yao for waves with step-type ignition functions, by a proof based largely on…
Turing patterns in parabolic systems of conservation laws and numerically observed stability of periodic waves
Blake Barker, Soyeun Jung, Kevin Zumbrun
Turing patterns on unbounded domains have been widely studied in systems of reaction-diffusion equations. However, up to now, they have not been studied for systems of conservation…
Diffusive stability of spatially periodic solutions of the Brusselator model
Alim Sukhtayev, Kevin Zumbrun, Soyeun Jung +1
Applying the Lyapunov-Schmidt reduction approach introduced by Mielke and Schneider in their analysis of the fourth-order scalar Swift-Hohenberg equation, we carry out a rigorous s…
Pointwise nonlinear stability of nonlocalized modulated periodic reaction-diffusion waves
Soyeun Jung, Kevin Zumbrun
In this paper, extending previous results of \cite{J1}, we obtain pointwise nonlinear stability of periodic traveling reaction-diffusion waves, assuming spectral linearized stabili…
Pointwise stability estimates for periodic traveling wave solutions of systems of viscous conservation laws
Soyeun Jung
In the previous paper \cite{J1}, we established pointwise bounds for the Green function of the linearized equation associated with spatially periodic traveling waves of a…
Stability of ZND detonations for Majda's model
Soyeun Jung, Jinghua Yao
We evaluate by direct calculation the Lopatinski determinant for ZND detonations in Majda's model for reacting flow, and show that on the nonstable (nonnegative real part) complex…
Pointwise asymptotic behavior of modulated periodic reaction-diffusion waves
Soyeun Jung
By working with the periodic resolvent kernel and Bloch-decomposition, we establish pointwise bounds for the Green function of the linearized equation associated with spatially per…