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The paper considers a manifold M evolving under the Ricci
ow and establishes a series of gradient
estimates for positive solutions of the heat equation on M. Among other results, we prove Li-Yau-ty...
A device adaptive in ow boundary condition for Wigner equations of quantum transport
Frensley in ow boundary condition Wigner function Resonant tunneling diode
2014/9/26
In this paper, an improved in
ow boundary condition is proposed for Wigner equa-tions in simulating a resonant tunneling diode (RTD), which takes into consideration
the band structure of the device....
Stationary Wigner Equation with In ow Boundary Conditions: Will a Symmetric Potential Yield a Symmetric Solution
Wigner equation In ow boundary conditions Well-posedness.
2014/9/26
Based on the well-posedness of the stationary Wigner equation with in
ow bound-ary conditions given in [1], we prove without any additional prerequisite conditions
that the solution of the Wigner eq...
A new geometric °ow with rotational invariance
System of hyperbolic-parabolic equations rotational invariance global smooth solution time-asymptotic behavior hypersurface
2018/4/19
In this paper we introduce a new geometric flow with rotational invariance and prove that, under this kind of flow, an arbitrary smooth closed contractible hypersurface in the Euclidean space Rn+1 (n...
Unsteady °ow of a conducting dusty °uid between two parallel plates
phase and °uid phase conducting dusty °uid magnetic ¯ eld
2009/1/7
The present problem deals with the laminar °ow of an electri-
cally conducting viscous incompressible °uid with embedded non-conducting
identical spherical particles through a long channel under in°...