E... — Partial Differential Equations Iii: Nonlinear

: The definitive models for describing the flow of incompressible fluids, from water in a pipe to air over a wing.

The "story" of the book is structured around the three fundamental types of partial differential equations, now viewed through a nonlinear lens. Partial Differential Equations III: Nonlinear E...

: This covers "diffusion" processes where things spread out over time. Key topics include semilinear equations and their applications to Harmonic Maps and reaction-diffusion systems, which model everything from chemical reactions to biological patterns. : The definitive models for describing the flow