Browsing by Author "HWANG, TW"

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EXISTENCE AND CLASSIFICATION OF SOLUTIONS FOR A PROBLEM OF SURFACE-TENSION DRIVEN FLOWS IN A SLOT WITH AN INSULATED BOTTOM
(1990)
HWANG, TW
;
WANG, CA
;
交大名義發表
;
應用數學系
;
National Chiao Tung University
EXISTENCE OF SIMILARITY SOLUTIONS FOR SURFACE-TENSION DRIVEN FLOWS IN FLOATING RECTANGULAR CAVITIES
(1993-07-01)
CHEN, YY
;
HWANG, TW
;
WANG, CA
;
應用數學系
;
Department of Applied Mathematics
We consider the following problem: f''' + Q . [Af f'' - (f')2] = beta, (Q, beta is-an-element-of R, A greater-than-or-equal-to 0), f(0) = f(1) = f''(1) = f''(0) + 1 = 0, which arises from the steady surface-tension driver flows in floating rectangular cavities. In this paper, we first classify all possible solutions and obtain that the given problem can only possess, at most, three types of solutions for A greater-than-or-equal-to 1. By the classification, we further verify that for every Q greater-than-or-equal-to 0 or beta greater-than-or-equal-to 0, the problem has at least one solution if A greater-than-or-equal-to 1. Moreover, if 1 less-than-or-equal-to A less-than-or-equal-to 3/2, multiple solutions also exist for sufficiently large Q > 0.
EXISTENCE OF SOLUTIONS FOR BERMANS EQUATION FROM LAMINAR FLOWS IN A POROUS CHANNEL WITH SUCTION
(1990)
WANG, CA
;
HWANG, TW
;
CHEN, YY
;
應用數學系
;
Department of Applied Mathematics
SIMILARITY SOLUTIONS FOR SURFACE-TENSION DRIVEN FLOWS IN A SLOT WITH AN INSULATED BOTTOM
(1989)
HWANG, TW
;
KUO, TH
;
WANG, CA
;
交大名義發表
;
應用數學系