Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors

2002 ◽  
Vol 132 (2) ◽  
pp. 359-378 ◽  
Author(s):  
Hailiang Li ◽  
Peter Markowich ◽  
Ming Mei
Keyword(s):  
Steady State ◽  
Asymptotic Behaviour ◽  
Small Perturbation ◽  
Hydrodynamic Model ◽  
Existence And Uniqueness ◽  
Steady State Solution ◽  
State Solution ◽  
Energy Estimates ◽  
One Dimensional ◽  
The One

Degond and Markowich discussed the existence and uniqueness of a steady-state solution in the subsonic case for the one-dimensional hydrodynamic model of semiconductors. In the present paper, we reconsider the existence and uniqueness of a globally smooth subsonic steady-state solution, and prove its stability for small perturbation. The proof method we adopt in this paper is based on elementary energy estimates.

Radiation Fin Efficiency for One-Dimensional Heat Flow in a Circular Fin

1959 ◽  
Vol 81 (4) ◽  
pp. 327-329 ◽  
Author(s):  
R. L. Chambers ◽  
E. V. Somers
Keyword(s):  
Steady State ◽  
Heat Flow ◽  
Thermal Power ◽  
Steady State Solution ◽  
State Solution ◽  
Design Parameters ◽  
One Dimensional ◽  
Fin Efficiency ◽  
Annular Fin ◽  
The One

The one-dimensional steady-state solution for radiation from one side of an annular fin has been computed for values of the two design parameters 0⩽ϵσθi3Kro-ri⩽2.0 and 1.001⩽ρ=rori⩽15.0. The solution supplies design information needed for satellite thermal-power dissipating surfaces.

A SIMPLIFIED CIRCUIT OF THE SEISMIC ELECTRIC METHOD AND ITS STEADY‐STATE SOLUTION

Geophysics ◽  
1936 ◽  
Vol 1 (3) ◽  
pp. 336-339 ◽  
Author(s):  
M. M. Slotnick
Keyword(s):  
Steady State ◽  
Steady State Solution ◽  
State Solution ◽  
Successive Approximations ◽  
Method Of Successive Approximations ◽  
Steady State Response ◽  
State Response ◽  
In Series ◽  
The One ◽  
Electric Effect

The Seismic Electric Effect gives rise to the problem of finding the steady state response of a circuit consisting of an inductance and a response of a circuit consisting of an inductance and a resistance of the form R+A cos cot (R>A) in series with a D.C. input. In this paper a solution is given, other than the one usually obtained by the method of successive approximations.

Optical Method for Formation of Nanostructure in Nanosuspension

2018 ◽  
Vol 386 ◽  
pp. 219-223
Author(s):  
Valerii Ivanovich Ivanov ◽  
Vladimir Kancherovich Khe ◽  
Vladimir Ivanovich Krylov ◽  
Denis Alexeyevich Syrnikov
Keyword(s):  
Mass Transfer ◽  
Steady State ◽  
Theoretical Model ◽  
Laser Beam ◽  
Optical Method ◽  
Steady State Solution ◽  
State Solution ◽  
Light Pressure ◽  
One Dimensional ◽  
Laser Effect

It is proposed to use light pressure forces to form nanostructures in a transparent nanosuspension. We have discussed the theoretical model of formation of crystal from nanoparticles on a bottom of cuvette by using the laser effect in liquid. It was received the steady-state solution of one-dimensional task of the light induced mass transfer as depending on intensity of laser beam.

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