An Exact Solution for Oseen Flow Past a Half Plane and a Vertical Force Singularity

1966 ◽  
Vol 45 (1-4) ◽  
pp. 402-407 ◽  
Author(s):  
W. E. Olmstead ◽  
W. J. Byrne
Keyword(s):  
Exact Solution ◽  
Half Plane ◽  
Vertical Force ◽  
Flow Past ◽  
Oseen Flow

On the Nonuniqueness of Oseen Flow Past a Half Plane

1966 ◽  
Vol 45 (1-4) ◽  
pp. 408-417 ◽  
Author(s):  
W. E. Olmstead ◽  
D. L. Hector
Keyword(s):  
Half Plane ◽  
Flow Past ◽  
Oseen Flow

A Diffraction Problem and Crack Propagation

1967 ◽  
Vol 34 (1) ◽  
pp. 100-103 ◽  
Author(s):  
A. Jahanshahi
Keyword(s):  
Exact Solution ◽  
Stress Field ◽  
Crack Propagation ◽  
Elastic Medium ◽  
Half Plane ◽  
Diffraction Problem ◽  
Shear Waves ◽  
Stress Waves ◽  
Plane Crack ◽  
Antiplane Strain

The exact solution to the problem of diffraction of plane harmonic polarized shear waves by a half-plane crack extending under antiplane strain is constructed. The solution is employed to study the nature of the stress field associated with an extending crack in an elastic medium excited by stress waves.

ON SOLVABILITY OF SOME BOUNDARY PROBLEM

2020 ◽  
Vol 54 (1 (251)) ◽  
pp. 29-34
Author(s):  
A.H. Kamalyan ◽  
M.I. Karakhanyan
Keyword(s):  
Exact Solution ◽  
Dirichlet Problem ◽  
Elliptic Equation ◽  
Sobolev Space ◽  
Boundary Problem ◽  
Half Plane ◽  
Two Dimensional

We constract the exact solution of the Dirichlet problem in the Sobolev space for two-dimensional elliptic equation considered on the half-plane.

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