Alaa Haj Ali, Arizona State University
Authors: Alaa Haj Ali
2022 AWM Research Symposium
Women in Analysis Research Network - Special Session for Graduate Students and Postdoctoral Fellows

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.

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