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Many reaction-diffusion equations under dynamic boundary conditions have been considered in the past years.
We study the global existence and blow-up phenomenon of solutions to an evolutionary p-Laplacian with convection and reaction under dynamic boundary condition.
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Wang and Sun [2] and Luo and Gao [3] applied the Schauder fixed point theorem to show the existence of positive solutions of a fourth-order dynamic boundary value problem under different boundary value conditions.
First it is shown that under very natural assumptions the solutions of the partial differential equation with the nonlinear dynamic boundary conditions exist globally.
Consider the dynamic boundary value problem (2.3).
The second dynamic boundary is the hydrocarbon accumulation limit.
The first dynamic boundary is buoyancy-controlled threshold.
We consider static as well as dynamic boundary controls for the boundary observer design.
So there is a need of deriving a dynamic boundary to describe periocular region.
The exact method of obtaining the dynamic boundary is as follows.
The objective of the paper is to attain a dynamic boundary around the eye that defines periocular region.
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