3 papers
math.AP2024
Global well-posedness and uniform-in-time vanishing damping limit for the inviscid Oldroyd-B model
Xinyu Cheng, Zhaonan Luo, Zhaojie Yang +1
In this paper, we consider global strong solutions and the uniform-in-time vanishing damping limit for the inviscid Oldroyd-B model in , where and . The well-recogni…
math.AP2024
Small-amplitude finite-depth Stokes waves are transversally unstable
Ziang Jiao, L. Miguel Rodrigues, Changzhen Sun +1
We prove that all irrotational planar periodic traveling waves of sufficiently small-amplitude are spectrally unstable as solutions to three-dimensional inviscid finite-depth gravi…
math.AP2023
Backward Uniqueness for 3D Navier-Stokes Equations with Non-trivial Final Data and Applications
Zhen Lei, Zhaojie Yang, Cheng Yuan
Presented is a backward uniqueness result of bounded mild solutions of 3D Navier-Stokes Equations in the whole space with non-trivial final data. A direct consequence is that a sol…