Skip to Main content Skip to Navigation
Conference papers

On the Normal Semilinear Parabolic Equations Corresponding to 3D Navier-Stokes System

Abstract : The semilinear normal parabolic equations corresponding to 3D Navier-Stokes system have been derived. The explicit formula for solution of normal parabolic equations with periodic boundary conditions has been obtained. It was shown that phase space of corresponding dynamical system consists of the set of stability (where solutions tends to zero as time t → ∞), the set of explosions (where solutions blow up during finite time) and intermediate set. Exact description of these sets has been given.
Complete list of metadatas

Cited literature [5 references]  Display  Hide  Download

https://hal.inria.fr/hal-01347554
Contributor : Hal Ifip <>
Submitted on : Thursday, July 21, 2016 - 11:22:29 AM
Last modification on : Thursday, July 21, 2016 - 5:08:48 PM

File

978-3-642-36062-6_34_Chapter.p...
Files produced by the author(s)

Licence


Distributed under a Creative Commons Attribution 4.0 International License

Identifiers

Citation

Andrei Fursikov. On the Normal Semilinear Parabolic Equations Corresponding to 3D Navier-Stokes System. 25th System Modeling and Optimization (CSMO), Sep 2011, Berlin, Germany. pp.338-347, ⟨10.1007/978-3-642-36062-6_34⟩. ⟨hal-01347554⟩

Share

Metrics

Record views

82

Files downloads

147