The general solution of Stokes flow in a half-space as an integral of the velocity on the boundary

1988 ◽  
Vol 31 (6) ◽  
pp. 1321 ◽  
Author(s):  
Kalvis M. Jansons ◽  
John R. Lister
Keyword(s):  
General Solution ◽  
Half Space ◽  
Stokes Flow

scholarly journals On estimates in Hardy spaces for the Stokes flow in a half space

1999 ◽  
Vol 231 (2) ◽  
pp. 383-396 ◽  
Author(s):  
Yoshikazu Giga ◽  
Shin'ya Matsui ◽  
Yasuyuki Shimizu
Keyword(s):  
Half Space ◽  
Hardy Spaces ◽  
Stokes Flow

scholarly journals Plane waves in thermoelasticity with one relaxation time

2001 ◽  
Vol 26 (4) ◽  
pp. 225-232
Author(s):  
Jun Wang ◽  
Wen Dong Chang
Keyword(s):  
Relaxation Time ◽  
General Solution ◽  
Laplace Transform ◽  
Half Space ◽  
Plane Waves ◽  
Elastic Half Space ◽  
Second Sound ◽  
Boundary Temperature ◽  
Explicit Expressions

We apply the thermoelastic equations with one relaxation time developed by Lord and Shulman (1967) to solve some elastic half-space problems. Laplace transform is used to find the general solution. Problems concerning the ramp-type increase in boundary temperature and stress are studied in detail. Explicit expressions for temperature and stress are obtained for small values of time, where second sound phenomena are of relevance. Numerical values of stress and temperature are calculated and displayed graphically.

scholarly journals PSEUDO-DIFFERENTIAL OPERATORS AND EQUATIONS IN A DISCRETE HALF-SPACE

2018 ◽  
Vol 23 (3) ◽  
pp. 492-506 ◽  
Author(s):  
Vladimir B. Vasilyev ◽  
Alexander V. Vasilyev
Keyword(s):  
Differential Operator ◽  
General Solution ◽  
Differential Equations ◽  
Half Space ◽  
Differential Operators ◽  
Pseudo Differential Operator ◽  
Pseudo Differential Operators ◽  
Special Case

We introduce a digital pseudo-differential operator acting in discrete Sobolev--Slobodetskii spaces and consider pseudo-differential equations with such operators in a discrete half-space. The theorem on a general solution of such equations is proved for a special case.

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