23 citations · 72 across the 16 of their papers we have counts for
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Global smooth solution to the 2D Boussinesq equations with fractional dissipation
Zhuan Ye
In this paper, we consider the two-dimensional (2D) incompressible Boussinesq system with fractional Laplacian dissipation and thermal diffusion. Based on the previous works and so…
Global regularity for the 2D Oldroyd-B model in the corotational case
Zhuan Ye, Xiaojing Xu
This paper is dedicated to the Oldroyd-B model with fractional dissipation for any . We establish the global smooth solutions to the Oldroyd-B model in the corotatio…
A note on global regularity results for 2D Boussinesq equations with fractional dissipation
Zhuan Ye
In this paper we study the Cauchy problem for the two-dimensional (2D) incompressible Boussinesq equations with fractional Laplacian dissipation and thermal diffusion. Invoking the…
Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation
Zhuan Ye, Xiaojing Xu
As a continuation of the previous work [40], in this paper we focus on the Cauchy problem of the two-dimensional (2D) incompressible Boussinesq equations with fractional Laplacian…
Epicycloids and Blaschke products
Chunlei Cao, Alastair Fletcher, Zhuan Ye
It is well known that the bounding curve of the central hyperbolic component of the Multibrot set in the parameter space of unicritical degree polynomials is an epicycloid with…