ABSTRACT
JB dv dn6 E 6-J(B)(v-B)"' -J(B)" (17)
to use up time T; and t( u) will remain asymptotically negligible until u ---+ B-, i.e., we shall have
A detailed boundary layer analysis in terms of the stretched variable
F(u)"' M + f'(e)(u-e)2 2 (20)
J dv E 6-f'!e)(v-e)2 (21)
over a subinterval of [A, B] about v = e. For an interior point e, that contribution will be asymptotically given by
f2J"" ds /2 c(e):=Ev~ -oo l+s2 =errV~' (22) so we must have
Thus, the limiting solution U0 (t) will be the constant e within (0, T), and there will be endpoint layers near both t = 0 and T. If e = 0 (or T), the initial (or terminal) layer will be eliminated.
