Forward Discretely Self-Similar Solutions of the Navier-Stokes Equations
Tai-Peng Tsai
TL;DR
This paper proves the existence of large, forward, discretely self-similar solutions to the Navier-Stokes equations, extending previous work on self-similar solutions.
Contribution
It introduces the first construction of large discretely self-similar solutions for the Navier-Stokes equations.
Findings
Existence of large discretely self-similar solutions
Extension of Jia and Sverak's work
Advancement in understanding Navier-Stokes solutions
Abstract
Extending the work of Jia and Sverak on self-similar solutions of the Navier-Stokes equations, we show the existence of large, forward, discretely self-similar solutions.
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Taxonomy
TopicsNavier-Stokes equation solutions · Stability and Controllability of Differential Equations · Fluid Dynamics and Turbulent Flows