Asymptotic decomposition of completely integrable pfaffian systems with small parameter

1989 ◽  
Vol 40 (3) ◽  
pp. 299-305
Author(s):  
Yu. A. Mitropol'skii ◽  
A. K. Lopatin
Keyword(s):  
Small Parameter ◽  
Asymptotic Decomposition ◽  
Pfaffian Systems ◽  
Completely Integrable

Asymptotic decomposition of differential systems with a small parameter

1987 ◽  
Vol 39 (2) ◽  
pp. 162-170
Author(s):  
Yu. A. Mitropol'skii ◽  
A. K. Lopatin
Keyword(s):  
Small Parameter ◽  
Asymptotic Decomposition ◽  
Differential Systems

Controllability of Completely Integrable Linear Nonstationary Pfaffian Systems

2020 ◽  
Vol 56 (8) ◽  
pp. 1108-1112
Author(s):  
O. V. Khramtsov ◽  
S. A. Prokhozhii
Keyword(s):  
Pfaffian Systems ◽  
Completely Integrable

ASYMPTOTIC METHODS FOR MICROPOLAR FLUIDS IN A TUBE STRUCTURE

2004 ◽  
Vol 14 (05) ◽  
pp. 735-758 ◽  
Author(s):  
D. DUPUY ◽  
G. P. PANASENKO ◽  
R. STAVRE
Keyword(s):  
Boundary Layer ◽  
Asymptotic Expansion ◽  
Small Parameter ◽  
Asymptotic Methods ◽  
Steady Motion ◽  
Asymptotic Decomposition ◽  
Micropolar Fluids ◽  
Layer Method ◽  
Boundary Layer Method ◽  
Tube Structure

The steady motion of a micropolar fluid through a wavy tube with the dimensions depending on a small parameter is studied. An asymptotic expansion is proposed and error estimates are proved by using a boundary layer method. We apply the method of partial asymptotic decomposition of domain and we prove that the solution of the partially decomposed problem represents a good approximation for the solution of the considered problem.

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