100 citations · 290 across the 29 of their papers we have counts for
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Analysis for Allen-Cahn-Ohta-Nakazawa Model in a Ternary System
Sookyung Joo, Xiang Xu, Yanxiang Zhao
In this paper we study the global well-posedness of the Allen-Cahn Ohta-Nakazawa model with two fixed nonlinear volume constraints. Utilizing the gradient flow structure of its fre…
Stable blow-up dynamics in the -critical and -supercritical generalized Hartree equation
Kai Yang, Svetlana Roudenko, Yanxiang Zhao
We study stable blow-up dynamics in the generalized Hartree equation with radial symmetry, a Schrödinger-type equation with a nonlocal, convolution-type nonlinearity: $iu_t+Δu +\le…
Blow-up dynamics in the mass super-critical NLS equations
Kai Yang, Svetlana Roudenko, Yanxiang Zhao
We study stable blow-up dynamics in the -supercritical nonlinear Schrödinger equation in various dimensions. We first investigate the profile equation and extend the result of…
Blow-up dynamics and spectral property in the -critical nonlinear Schrödinger equation in high dimensions
Kai Yang, Svetlana Roudenko, Yanxiang Zhao
We study stable blow-up dynamics in the -critical nonlinear Schrödinger equation in high dimensions. First, we show that in dimensions to generic blow-up behavior…