Dong Li

activity

20062021

most citedStrong illposedness of the incompressible Euler equation in integer

C^{m}

spaces

147 citations · 339 across the 50 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.NA2014★ 7 cited

Characterizing the stabilization size for semi-implicit Fourier-spectral method to phase field equations

Dong Li, Zhonghua Qiao, Tao Tang

Recent results in the literature provide computational evidence that stabilized semi-implicit time-stepping method can efficiently simulate phase field problems involving fourth-or…

math.AP2014★ 6 cited

A Blow-Up Result for Dyadic Models of the Euler Equations

In-Jee Jeong, Dong Li

We partially answer a question raised by Kiselev and Zlatos in \cite{MR2180809}; in the generalized dyadic model of the Euler equation, a blow-up of $H^{1/3 + δ}$ -norm occurs. We rec…

math.AP2014★ 147 cited

Strong illposedness of the incompressible Euler equation in integer $C^{m}$ spaces

Jean Bourgain, Dong Li

We consider the $d$ -dimensional incompressible Euler equations. We show strong illposedness of velocity in any $C^{m}$ spaces whenever $m \geq 1$ is an \emph{integer}. More precisely,…

Characterizing the stabilization size for semi-implicit Fourier-spectral method to phase field equations

A Blow-Up Result for Dyadic Models of the Euler Equations

Strong illposedness of the incompressible Euler equation in integer Cm spaces

Strong illposedness of the incompressible Euler equation in integer $C^{m}$ spaces