We study the classical linear partial differential equations: Poisson's equation and the heat equation. We learn about representation formulas for solutions, maximum principles, and energy estimates.

Mathematical modelling and real-time microfluidics-based measurements of nuclear shuttling dynamics of the transcription factor EB (TFEB) demonstrate its biphasic nature in response to nutrient ...

Solver for coupled nonlinear partial differential equations (elliptic-parabolic conservation laws) based on the Voronoi finite volume method. It uses automatic differentiation via ForwardDiff.jl and ...