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math.AP2025
Existence and dependency results for coupled Schrödinger equations with critical exponent on waveguide manifold
Jun Wang, Zhaoyang Yin
We study the coupled Schrödinger equations with critical exponent on . With the help of scaling argument and semivirial-vanishing technology, we obt…
math.AP2025
Transverse dependence and asymptotic dimensional reduction of ground states for the logarithmic Schrödinger equation on a waveguide manifold
Hichem Hajaiej, Jun Wang, Zhaoyang Yin
In this paper, we develop a novel approach to studying the -dependence of ground states for the logarithmic Schrödinger equation on . Unlike in \…
math.AP2025
Hölder continuous weak solutions of the 3D Boussinesq equation with thermal diffusion
Zipeng Chen, Zhaoyang Yin
In this paper, we show the existence of Hölder continuous periodic weak solutions of the 3D Boussinesq equation with thermal diffusion, which apprroximate the Onsager's critical sp…