Time dependent equations associated with fourth order operators are used to model many physical phenomena such as plane flame propagation, and phase turbulence in reaction-diffusion systems. They also appears in thin film theory to model long waves on a viscous fluid. We will present our work on a time dependent thin obstacle problem associated with the weighted bi-Laplace operator. We study the well-posedness of the problem and the regularity of the solution. Our approach is based on an implicit time discretization method.
The-time dependent thin obstacle problem for the weighted bi-Laplacian
Alaa Haj Ali, Arizona State UniversityAuthors: Alaa Haj Ali
2022 AWM Research Symposium
Women in Analysis Research Network - Special Session for Graduate Students and Postdoctoral Fellows