References
- Gompper G, Goos J. Fluctuating interfaces in microemulsion and sponge phases. Phys. Rev. E. 1994;50:1325–1335.
- Gompper G, Kraus M. Ginzburg-Landau theory of ternary amphiphilic systems. II. Monte Carlo simulations. Phys. Rev. E. 1993;47:4301–4312.
- Pawłow I, Zaja̧czkowski W. A sixth order Cahn–Hilliard type equation arising in oil–water–surfactant mixtures. Commun. Pure Appl. Anal. 2011;10:1823–1847.
- Evans JD, Galaktionov VA, King JR. Unstable sixth-order thin film equation: I. Blow-up similarity solutions. Nonlinearity. 2007;20:1799–1841.
- Schimperna G, Pawłow I. On a class of Cahn--Hilliard models with nonlinear diffusion. SIAM J. Math. Anal. 2013;45:31–63.
- Bernis F, Friedman A. Higher order nonlinear degenerate parabolic equations. J. Differ. Equ. 1990;83:179–206.
- Evans JD, Galaktionov VA, King JR. Unstable sixth-order thin film equation: II. Global similarity patterns. Nonlinearity. 2007;20:1843–1881.
- Flitton JC, King JR. Moving-boundary and fixed-domain problems for a sixth-order thin-film equation. Eur. J. Appl. Math. 2004;15:713–754.
- Korzec MD, Evans PL, Munch A, Wagner B. Stationary solutions of driven fourth- and sixth-order Cahn--Hilliard-type equations. SIAM J. Appl. Math. 2008;69:348–374.
- Liu C, Wang Z. Optimal control for a sixth order nonlinear parabolic equation. Math. Methods Appl. Sci. 2015;38:247–262.
- Liu C, Wang Z. Time periodic solutions for a sixth order nonlinear parabolic equation in two space dimensions. Commun. Pure Appl. Anal. 2014;13:1087–1104.
- Barrett JW, Langdon S, Nuernberg R. Finite element approximation of a sixth order nonlinear degenerate parabolic equation. Numer. Math. 2004;96:401–434.
- Jüngel A, Milišić J. A sixth-order nonlinear parabolic equation for quantum systems. SIAM J. Math. Anal. 2009;41:1472–1490.
- Liu C. A sixth-order thin film equation in two space dimensions. Adv. Differ. Equ. 2015;20:557–580.
- Wang H, Esfahani A. Global rough solutions to the sixth-order Boussinesq equation. Nonlinear Anal. 2014;102:97–104.
- Beretta E, Bertsch M, Dal Passo R. Nonnegative solutions of a fourth order nonlinear degenerate parabolic equation. Arch. Ration. Mech. Anal. 1995;129:175–200.
- Elliott CM, Garcke H. On the Cahn--Hilliard equation with degenerate mobility. SIAM J. Math. Anal. 1996;27:404–423.
- Dal Passo R, Garcke H, Grün G. On a fourth-order degenerate parabolic equation: global entropy estimates, existence, and qualitative behavior of solutions. SIAM J. Math. Anal. 1998;29:321–342.
- Gao Y, Guo B, Gao W. Weak solutions for a high-order pseudo-parabolic equation with variable exponents. Appl. Anal. 2014;93:322–338.
- Grün G. Degenerate parabolic differential equations of fourth order and a plasticity model with nonlocal hardening. Z. Anal. Anwendungen. 1995;14:541–574.
- Liu C. On the convective Cahn--Hilliard equation with degenerate mobility. J. Math. Anal. Appl. 2008;344:124–144.
- Yin J. On the existence of nonnegative continuous solutions of the Cahn--Hilliard equation. J. Differ. Equ. 1992;97:310–327.
- Slepčev D, Pugh MC. Selfsimilar blowup of unstable thin-film equations. Indiana Univ. Math. J. 2005;54:1697–1738.
- Giaquinta M, Struwe M. On the partial regularity for weak solutions to nonlinear parabolic systems. Math. Z. 1982;179:437–451.
- Wang R. The Schauder theory of the boundary value problem for parabolic problem equations. Acta Sci. Nat. Univ. Jilin. 1964;2:35–64.
- Ladyzhenskaja OA, Solonikov VA, Ural’ceva NN. Linear and quasilinear equations of parabolic type. Providence (RI): American Mathematical Society; 1968.