References
- Stone , H.A. , Stroock , A.D. and Ajdari , A. 2004 . Annu. Rev. Fluid Mech. , 36 : 381 – 411 .
- Betelu , S.I. , Fontelos , M.A. , Kindelan , U. and Vantzos , O. 2006 . Phys. Fluids , 18 : 051706
- Betelu , S.I. , Fontelos , M.A. and Kindelan , U. 2005 . Progr. Nonlinear Differential Equations Appl. , 63 : 51 – 58 .
- Eggers , J. and Villermaux , E. 2008 . Rep. Prog. Phys. , 71 : 036601
- Eggers , J. and Fontelos , M.A. 2009 . Nonlinearity , 22 : R1 – R44 .
- F. Mugele and J. C. Baret, J. Phys.: Condens. Matter 17, R705–R774 (2005).
- Landkof , N.S. 1972 . Foundations ofModern Potential Theory , New York : Springer-Verlag .
- Polya , G. and Szego , G. 1945 . Amer. J. Math. , 67 : 1 – 32 .
- G. Polya and G. Szego, Isoperimetric Inequalities in Mathematical Physics, Ann. of Math. Stud. 27. Princeton University Press, Princeton, NJ (1951).
- F. Mugele and J. Buhrle, J. Phys.: Condens. Matter 19, 375112 (2007).
- Lippmann , G. 1875 . Ann. Chim. Phys. , 5 : 494
- Fontelos , M.A. and Kindelan , U. 2008 . SIAM J. Appl. Math. , 69–1 : 126 – 148 .
- Fontelos , M.A. and Kindelan , U. 2009 . QJMAM , 62–4 : 465 – 480 .
- Eck , C. , Fontelos , M.A. , Grun , G. , Klingbeil , F. and Vantzos , O. 2009 . Interfaces and Free Boundaries , 11 : 259 – 290 .
- Qian , T. , Wang , X.P. and Sheng , P. 2006 . J. Fluid Mech. , 564 : 333 – 360 .
- Cahn , J.W. and Hilliard , J.E. 1958 . J. Chem. Phys. , 28 : 258 – 267 .
- L. D. Landau, E. M. Lifshitz and L. P. Pitaevskii, Electrodynamics ofContinuous Media, 2nd edn. Course ofTheoretical Physics, Vol. 8. Pergamon Press, Oxford (1984).
- Onsager , L. 1931 . Phys. Rev. , 37 : 405 – 426 .
- de Groot , S.R. and Mazur , P. 1969 . Non-equilibrium Thermodynamics , Amsterdam : North-Holland .
- Navier , C.L.M.H. 1823 . Mem. l’Acad. R. Sci. l’Inst. France , 6 : 389 – 440 .
- Badalassi , V.E. , Ceniceros , H.D. and Banerjee , S. 2003 . J. Comput. Phys. , 190 : 371 – 397 .
- Jackson , J.D. 1999 . Classical Electrodynamics , 3rd edn. , New York : John Wiley & Sons .
- Elman , H. , Silvester , D. and Wathen , A. 2005 . Finite Elements and Fast Iterative Solvers with Applications in Incompressible Fluid Dynamics , New York : Oxford University Press .
- Ciarlet , P.G. 1978 . The Finite Element Method for Elliptic Problems , Amsterdam : North Holland .
- Kroner , D. 1997 . Numerical Schemes for Conservation Laws , Chichester : Wiley and Teubner .
- Saad , Y. 2003 . Iterative Methods for Sparse Linear Systems , 2nd edn. , Philadelphia : SIAM .
- Buhrle , J. , Herminghaus , S. and Mugele , F. 2003 . Phys. Rev. Lett. , 91 : 086101