On multiple solutions for berman's problem

Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Volumn 121, Issue 3-4, 1992, Pages 219-230

  Hwang, Tzy Wei ^a   Wang, Ching An ^b  

^a NATIONAL KAOHSIUNG NORMAL UNIVERSITY   (Taiwan)

^b NATIONAL CHUNG CHENG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84974160118     PISSN: 03082105     EISSN: 14737124     Source Type: Journal    
DOI: 10.1017/S0308210500027876     Document Type: Article

References (9)

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2. A. S. Berman. Effects of porous boundaries on the flow of fluids in systems of various geometries. Proc. Second United Nations International Conference on the Peaceful Uses of Atomic Energy, Vol. 4, pp. 351-358 (Geneva: United Nations, 1958).
3. G. Raithby. Laminar heat transfer in the thermal entrance region of circular tubes and two-dimensional rectangular ducts with wall suction and injection. Internat. J. Heat and Mass Transfer 14 (1971), 223-243.
4. W. A. Robinson. The existence of multiple solutions for the laminar flow in a uniformly porous channel with suction at both walls. J. Engrg. Math. 10 (1976), 23-40.
5. F. M. Skalak and C. Y. Wang. On the nonunique solutions of laminar flow through a porous tube or channel. SIAM J. Appl. Math. 34 (1978), 535-544.
6. K. E. Shih. On the existence of solutions of an equation arising in the theory of laminar flow in a uniformly porous channel with injection. SIAM J. Appl. Math. 47 (1987), 526-533.
7. C. A. Wang, T. W. Hwang and Y. Y. Chen. Existence of solutions of Berman's equation from laminar flows in a porous channel with suction. Comput. Math. Appl. 20 (1990), 35-40.
8. S. P. Hastings, C. Lu and A. D. MacGillivary. A boundary value problem with multiple solutions from the theory of laminar flow (preprint).
9. S. W. Yuan and A. B. Finkelstein. Laminar pipe flow with injection and suction through a porous wall. Trans. ASME Ser. E J. Appl. Mech. 78 (1956), 719-724.