STEFAN MODEL FOR FLUID DYNAMICS IN TISSUES UNDER DENTAL PROSTHESES
Keywords:
prosthetic stomatitis, Stefan model, free boundary, reaction–diffusion–convection, asymptotic estimates, prosthesis–tissue interfaceAbstract
We propose a prosthesis–tissue model as a Stefan-type two-phase free-boundary reaction–diffusion–convection system. We prove global classical existence and uniqueness, derive a priori and large-time asymptotic estimates, and define the interface motion via the Stefan condition. A simplified front-tracking finite-difference scheme visualizes the interface dynamics and pressure fields (, ). Results show that under positive distal supply ( ) the interface remains separated from the outer boundary and pressures stabilize. Clinically, the model supports risk assessment of prosthetic stomatitis and guides individualized adjustment.
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