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18 May 2017: x = h(y) = 16 y3 c1y c2, (4.24)where c1 and c2 are constants. ... angles. SIAM J. Appl. Math. 49, 1009–1028. (doi:10.1137/0149061)24. Vogel TI. 2013 Liquid bridges between balls: the small volume instability.

26 Apr 2006: The boundaryconditions at t'0 are Eq. (12),. h"0 (z"f(t)) (23). [h]ml "0 (z"f(t)), (24). ... Wettlaufer, M.G. Worster, H.E. Huppert, Geophys. Res. Lett. 24 (1997) 1251.[12] D.L.

11 Oct 2006: After some algebra and use of(2.24), we obtain. ρD. Dt. [1. ... 374 M. Ungarish and H. E. Huppert. t0 4 8 12 16 20 24.

29 Apr 2010: we can make the approximation G(y) π y. Equation (2.24) then becomesπ. ... By dimensionalization of equation (3.24), we findthat the system is stable when.

21 Mar 2016: Received 24 June 2015; revised manuscript received 1 January 2016; published 24 February 2016). ... 24)] while the effective permeability decreases like H1(cf. (22)). The porosity also approaches an asymptotic profilewith φ0 0 as H.

26 Mar 2023: 6.8)Substituting (6.8) and (6.3) into (6.4), we obtain. w2N /(24 tan2 α) sN wN = 3A/2, wN =. (vN. β sin α. )1/2,. wN = 12 tan

24 Aug 2012: 0.1. 0 10. 0. 0.4. 101108. x/l0 10. 0. 0.4. S = 3 S = 24. ... σxx = E(1 ν)(1 2ν) [(1 ν)xx νyy ],. σyy = E(1 ν)(1 2ν) [(1 ν)yy νxx ], (24).

13 Apr 2011: Huppert1. Received 17 July 2010; revised 23 September 2010; accepted 27 September 2010; published 24 November 2010.

9 Mar 2004: 6.3 6.3 24.3 5.89 1.00 3.86 9.6 6.1 3.8 0.7417 6.3 6.3 24.3 10.71 1.00 ... 86 9.6 8.2 5.2 0.8118 6.3 6.3 24.3 20.37 1.00 3.86 9.6 11.3 7.1 0.8919 13.2

30 May 2006: J. F u i d Xech. (19761, VOZ. 78, part 4? pp. 821-854 Printed in Great Britain. 82 1. Nonlinear double-diffusive convection By H E R B E R T E. H U P P E R T A N D D A N I E L R. MOORE. Department of Applied Mathematics and Theoretical Physics,