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20062023
most citedWell-posedness of the Cauchy problem for the fractional power dissipative equations

224 citations · 289 across the 15 of their papers we have counts for

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math.AP2006★ 224 cited

Well-posedness of the Cauchy problem for the fractional power dissipative equations

Changxing Miao, Baoquan Yuan, Bo Zhang

This paper studies the Cauchy problem for the nonlinear fractional power dissipative equation for initial data in the Lebesgue space $L^r(\mr^n)$ with $…

math.AP2006★ 50 cited

On well-posedness of the Cauchy problem for MHD system in Besov spaces

Changxing Miao, Baoquan Yuan

This paper is devoted to the study of the Cauchy problem of incompressible magneto-hydrodynamics system in framework of Besov spaces. In the case of spatial dimension we e…