Email: Wei Luo [email protected]; Li Ma* [email protected]; Qian Wen [email protected]; XinSheng Yao [email protected]; Na Wang [email protected]; Hong-Yun Zou [email protected]; MingQian Zhou [email protected]; Ying Lin [email protected]; Zhen-Qiang Wu [email protected]; Xiao-Wei He [email protected]; Ju-Fang Wang [email protected]; Xiao-Ning Wang* [email protected] * Corresponding authors

Email: Wei Luo [email protected]; Li Ma* [email protected]; Qian Wen [email protected]; XinSheng Yao [email protected]; Na Wang [email protected]; Hong-Yun Zou [email protected]; MingQian Zhou [email protected]; Ying Lin [email protected]; Zhen-Qiang Wu [email protected]; Xiao-Wei He [email protected]; Ju-Fang Wang [email protected]; Xiao-Ning Wang* [email protected] * Corresponding authors

Abstract. The problem of Rayleigh–Bénard convection with internal heat sources and a variable gravity field is treated. For the case of stress-free boundary conditions, it is proved that the principle of exchange of stabilities holds as long as the product of gravity field and the integral of the heat sources is nonnegative throughout the layer. The proof is based on the idea of a positive oper...

The paper is concerned with linear thermoelastic plate equations in a domain Ω: utt +∆u+∆θ = 0 and θt −∆θ −∆ut = 0 in Ω× (0,∞), subject to Dirichlet boundary condition: u|Γ = Dνu|Γ = θ|Γ = 0 and initial condition: (u, ut, θ)|t=0 = (u0, v0, θ0) ∈W 2 p,D(Ω)×Lp×Lp. Here, Ω is a bounded or exterior domain in R (n ≥ 2). We assume that the boundary Γ of Ω is a C hypersurface and we define W 2 p,D by ...

We show herein the uniform stability of a thermoelastic plate model with no added dissipative mechanism on the boundary (uniform stability of a thermoelastic plate with added boundary dissipation was shown in [J. LAGNESE, Boundary Stabilization of Twin Plates, SIAM Stud. Appl. Math. 10, SIAM, Philadelphia, PA, 1989], as was that of the analytic case—where rotational forces are neglected—in [Z. ...

We study a 2-phase free boundary problem for harmonic measure first considered by Kenig and Toro [KT06] and prove a sharp Hölder regularity result. The central difficulty is that there is no a priori non-degeneracy in the free boundary condition. Thus we must establish non-degeneracy by means of monotonicity formulae.

During Arabidopsis seed development, the growing embryo invades and consumes the surrounding endosperm tissue. The signalling pathways that coordinate the separation of the embryo from the endosperm and the concomitant breakdown of the endosperm are poorly understood. We have identified a novel bHLH transcription factor, ZHOUPI (ZOU), which mediates these processes. ZOU is expressed exclusively...

this paper studied the mathematical method of flow with regard to two-phase boundary layer that created over the iced surface. based on experimental results, skin drag over the iced surface compared with this force that compute with slip condition. based on this results, for iced surface blasius equation solving at non-slip condition, can replace with solving the blasius equation with slip cond...