Skip to content
Free public beta until December 4, 2026: every course is open, no card needed. After that, the first chapter of each course stays free and full access is a one-time $39 ($19 for up to 100 founding members chosen for helpful feedback). Your progress is kept. How the beta works

partial-differential-equations

The calculus of variations connection: Dirichlet's principle, revisited

taught

Recognize the entropy condition and Dirichlet's principle as parallel variational selection principles, using a convex entropy pair that dissipates across an admissible shock.

Taught in

Requires

Required by

Nothing in the catalog needs this yet.

Local knowledge map

Local knowledge map

Click to expand

Solid arrows are required prerequisites; dashed are recommended or helpful. Lower rows are more foundational. Click any box to jump to that concept.