Publication Cover
Applicable Analysis
An International Journal
Volume 97, 2018 - Issue 13
163
Views
5
CrossRef citations to date
0
Altmetric
Articles

Some properties of solutions for a sixth-order Cahn–Hilliard type equation with inertial term

&
Pages 2332-2348 | Received 13 Jun 2017, Accepted 02 Aug 2017, Published online: 16 Aug 2017

References

  • Chen G , Lu B . The initial-boundary value problems for a class of nonlinear wave equations with damping term. J Math Anal Appl. 2009;351:1–15.
  • Escudero C , Gazzola F , Peral I . Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian. J Math Pures Appl. 2015;103(4):924–957.
  • Li Y . Basic inequality and uniqueness of the solution for differential equation (I). Acta Sci Nat Univ Jilin. 1960;1:7–22.
  • Liu A , Liu C . Cauchy problem for a sixth order Cahn-Hilliard type equation with inertial term. Evol Equ Control Theory. 2015;4(3):315–324.
  • Liu C . Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions. Ann Polonici Math. 2013;107(3):271–291.
  • Liu C , Wang Z . Time periodic solutions for a sixth order nonlinear parabolic equation in two space dimensions. Commun Pure Appl Anal. 2014;13(3):1087–1104.
  • Liu C , Wang Z . Optimal control for a sixth order nonlinear parabolic equation. Math Methods Appl Sci. 2015;38(2):247–262.
  • 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.
  • Qu C , Zhou W . Blow-up and extinction for a thin-film equation with initial-boundary value conditions. J Math Anal Appl. 2016;436(2):796–809.
  • Schimperna G , Pawłow I . On a class of Cahn-Hilliard models with nonlinear diffusion. SIAM J Math Anal. 2013;45(1):31–63.
  • Wang Y . Finite time blow-up and global solutions for fourth order damped wave equations. J Math Anal Appl. 2014;418(2):713–733.
  • Temam R . Infinite-dimensional dynamical systems in mechanics and physics. New York (NY): Springer-Verlag; 1988.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.