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The PDE describing constant mean curvature surfaces

Hongyou Wu — 2001

Mathematica Bohemica

We give an expository account of a Weierstrass type representation of the non-zero constant mean curvature surfaces in space and discuss the meaning of the representation from the point of view of partial differential equations.

On blow-up of solution for Euler equations

Eric BehrJindřich NečasHongyou Wu — 2001

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

We present numerical evidence for the blow-up of solution for the Euler equations. Our approximate solutions are Taylor polynomials in the time variable of an exact solution, and we believe that in terms of the exact solution, the blow-up will be rigorously proved.

On blow-up of solution for Euler equations

Eric BehrJindřich NečasHongyou Wu — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

We present numerical evidence for the blow-up of solution for the Euler equations. Our approximate solutions are Taylor polynomials in the time variable of an exact solution, and we believe that in terms of the exact solution, the blow-up will be rigorously proved.

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