Asymptotic structure for solutions of the Navier--Stokes equations | Zendy

Tian Ma | Zendy; Shouhong Wang | Zendy

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Asymptotic structure for solutions of the Navier--Stokes equations

Author(s) -

Tian Ma,

Shouhong Wang

Publication year - 2004

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2004.11.189

Subject(s) - structural stability , navier–stokes equations , mathematics , mathematical analysis , exponential stability , stability (learning theory) , boundary value problem , lyapunov function , hamiltonian (control theory) , physics , nonlinear system , mechanics , computer science , compressibility , mathematical optimization , structural engineering , quantum mechanics , machine learning , engineering

We study in this article the large time asymptotic structural stability and structural evolution in the physical space for the solutions of the 2-D Navier-Stokes equations with the periodic boundary conditions. Both the Hamiltonian and block structural stabilities and structural evolutions are considered, and connections to the Lyapunov stability are also given.

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