Stochastic Lubrication Equation

The stochastic lubrication equation (SLE) provides a theoretical framework for describing the dynamics of thin films and interfaces in the presence of thermal fluctuations. This research focuses on developing and validating numerical methods for solving the SLE.

Methodology

• Numerical Schemes: Finite difference methods for SLE discretization
• Parallel Computing: GPU-accelerated simulations using CUDA
• Validation: Comparison with analytical solutions and experimental data