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math.AP2024
Global well-posedness of the energy-critical complex Ginzburg-Landau equation in exterior domains
Xing Cheng, Chang-Yu Guo, Jiqiang Zheng +1
In this article, we consider an energy-critical complex Ginzburg-Landau equation in the exterior of a smooth compact strictly convex obstacle. We prove the global well-posedness of…
math.AP2023
The limit theory of the energy-critical complex Ginzburg-Landau equation
Xing. Cheng, Chang-yu Guo, Yunrui. Zheng
We study the limit behavior of the solutions to energy-critical complex Ginzburg-Landau equation. We give a rigorous theory of the zero-dispersion limit from energy-critical comple…