output
20092026
most citedWorldwide Patterns of Ancestry, Divergence, and Admixture in Domesticated Cattle

573 citations

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8 papers · 1 filter

math.AP2020★ 6 cited

Viscosity Solutions to First Order Path-Dependent HJB Equations

Jianjun Zhou

In this article, a notion of viscosity solutions is introduced for first order path-dependent Hamilton-Jacobi-Bellman (HJB) equations associated with optimal control problems for p…

math.AP2015

Blow-up Criteria for the Three Dimensional Nonlinear Dissipative System Modeling Electro-hydrodynamics

Jihong Zhao, Meng Bai

In this paper, we investigate some sufficient conditions for the breakdown of local smooth solutions to the three dimensional nonlinear nonlocal dissipative system modeling electro…

math.AP2015★ 1 cited

Well-posedness and Gevrey Analyticity of the Generalized Keller-Segel System in Critical Besov Spaces

Jihong Zhao

In this paper, we study the Cauchy problem for the generalized Keller-Segel system with the cell diffusion being ruled by fractional diffusion: \begin{equation*} \begin{cases} \par…

math.AP2015★ 3 cited

The Optimal Temporal Decay Estimates for the Fractional Power Dissipative Equation in Negative Besov Spaces

Jihong Zhao

In this paper, we first generalize a new energy approach, developed by Y. Guo and Y. Wang \cite{GW12}, in the framework of homogeneous Besov spaces for proving the optimal temporal…

math.AP2015

Well-posedness and decay for the dissipative system modeling electro-hydrodynamics in negative Besov spaces

Jihong Zhao, Qiao Liu

In \cite{GW12} (Y. Guo, Y. Wang, Decay of dissipative equations and negative Sobolev spaces, Commun. Partial Differ. Equ. 37 (2012) 2165--2208), Y. Guo and Y. Wang developed a gene…

math.AP2015

BKM's criterion for the 3D nematic liquid crystal flows via two velocity components and molecular orientations

Jihong Zhao

In this paper we provide a sufficient condition, in terms of the horizontal gradient of two horizontal velocity components and the gradient of liquid crystal molecular orientation…

math.AP2013

Logarithmically Improved Blow-up Criteria for a Phase Field Navier-Stokes Vesicle-Fluid Interaction Model

Jihong Zhao, Qiao Liu

In this paper, we study a hydrodynamical system modeling the deformation of vesicle membrane under external incompressible viscous flow fields. The system is in the Eulerian formul…

math.AP2012★ 2 cited

A Beale-Kato-Majda Blow-up Criterion for a Hydrodynamic System Modeling Vesicle and Fluid Interactions

Jihong Zhao

In this paper, we establish an analog of the Beale-Kato-Majda type criterion for singularities of smooth solutions of a hydrodynamic system modeling vesicle and fluid interactions.…