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20182026
most citedGlobal well-posedness and self-similar solution of the inhomogeneous Navier-Stokes system

1 citations · 1 across the 7 of their papers we have counts for

collaborators

8 papers

math-ph2026

Anderson localization and Hölder continuity of the integrated density of states for analytic quasiperiodic Schrödinger operators

Hongyi Cao, Yunfeng Shi, Zhifei Zhang

We establish both Anderson localization and Hölder continuity of the integrated density of states for quasiperiodic Schrödinger operators on with any non-constant an…

math.AP2025

Asymptotic stability of the Kolmogorov flow at high Reynolds numbers

Qi Chen, Hao Jia, Dongyi Wei +1

In this paper we prove the asymptotic stability of the Kolmogorov flow on a non-square torus for perturbations satisfying , where is the vi…

math.AP2025

Self-similar algebraic spiral vortex sheets of 2-D incompressible Euler equations

Feng Shao, Dongyi Wei, Zhifei Zhang

This paper provides the first rigorous construction of the self-similar algebraic spiral vortex sheet solutions to the 2-D incompressible Euler equations. These solutions are belie…

math.AP2025

Blow-up of the 3-D compressible Navier-Stokes equations for monatomic gases

Feng Shao, Dongyi Wei, Shumao Wang +1

In this paper, we prove the blow-up of the -D isentropic compressible Navier-Stokes equations for the adiabatic exponent , which corresponds to the law of monatomic gases…

math.AP2025

Tollmien-Schlichting waves near neutral stable curve

Qi Chen, Di Wu, Zhifei Zhang

In this paper, we study the linear stability of boundary layer flows over a flat plate. Tollmien, Schlichting, Lin et al. found that there exists a neutral curve, which consists of…

math.AP20241 cited

Global well-posedness and self-similar solution of the inhomogeneous Navier-Stokes system

Tiantian Hao, Feng Shao, Dongyi Wei +2

In this paper, we study the global well-posedness of the 3-D inhomogeneous incompressible Navier-Stokes system (INS in short) with initial density being discontinuous and ini…