Second Kind Integral Equation Formulation of Stokes’ Flows Past a Particle of Arbitrary Shape

1987 ◽  
Vol 47 (4) ◽  
pp. 689-698 ◽  
Author(s):  
Henry Power ◽  
Guillermo Miranda
Keyword(s):  
Integral Equation ◽  
Arbitrary Shape ◽  
Stokes Flows ◽  
Equation Formulation ◽  
Integral Equation Formulation

Combined field integral equation formulation for broad wall radiating slots of arbitrary shape

AFRICON 2009 ◽  
2009 ◽  
Author(s):  
Dominic B. Onyango Konditi ◽  
Vasant V Dharmadhikary ◽  
Edwin K. Koech ◽  
Josiah K. Makiche
Keyword(s):  
Integral Equation ◽  
Arbitrary Shape ◽  
Equation Formulation ◽  
Integral Equation Formulation ◽  
Field Integral

On periodic water-waves and their convergence to solitary waves in the long-wave limit

1981 ◽  
Vol 303 (1481) ◽  
pp. 633-669 ◽  
Keyword(s):  
Integral Equation ◽  
Solitary Waves ◽  
Water Waves ◽  
Periodic Problem ◽  
Existence Theory ◽  
Periodic Waves ◽  
Equation Formulation ◽  
Long Wave ◽  
Integral Equation Formulation ◽  
Wave Limit

A detailed discussion of Nekrasov’s approach to the steady water-wave problems leads to a new integral equation formulation of the periodic problem. This development allows the adaptation of the methods of Amick & Toland (1981) to show the convergence of periodic waves to solitary waves in the long-wave limit. In addition, it is shown how the classical integral equation formulation due to Nekrasov leads, via the Maximum Principle, to new results about qualitative features of periodic waves for which there has long been a global existence theory (Krasovskii 1961, Keady & Norbury 1978).

An integral equation formulation for the unconfined flow of groundwater with variable inlet conditions

1995 ◽  
Vol 18 (1) ◽  
pp. 15-36 ◽  
Author(s):  
Z. -X. Chen ◽  
G. S. Bodvarsson ◽  
P. A. Witherspoon ◽  
Y. C. Yortsos
Keyword(s):  
Integral Equation ◽  
Equation Formulation ◽  
Unconfined Flow ◽  
Integral Equation Formulation ◽  
Inlet Conditions
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