1. Geometric issues in PDE problems related to the infinity Laplace operator

Chapters in this book

1. Frontmatter I
2. Contents V
3. Part I
4. 1. Geometric issues in PDE problems related to the infinity Laplace operator 3
5. 2. Solution of free boundary problems in the presence of geometric uncertainties 20
6. 3. Distributed and boundary control problems for the semidiscrete Cahn–Hilliard/Navier–Stokes system with nonsmooth Ginzburg–Landau energies 40
7. 4. High-order topological expansions for Helmholtz problems in 2D 64
8. 5. On a new phase field model for the approximation of interfacial energies of multiphase systems 123
9. 6. Optimization of eigenvalues and eigenmodes by using the adjoint method 142
10. 7. Discrete varifolds and surface approximation 159
11. Part II
12. Preface 173
13. 8. Weak Monge–Ampère solutions of the semi-discrete optimal transportation problem 175
14. 9. Optimal transportation theory with repulsive costs 204
15. 10. Wardrop equilibria: long-term variant, degenerate anisotropic PDEs and numerical approximations 257
16. 11. On the Lagrangian branched transport model and the equivalence with its Eulerian formulation 281
17. 12. On some nonlinear evolution systems which are perturbations of Wasserstein gradient flows 304
18. 13. Pressureless Euler equations with maximal density constraint: a time-splitting scheme 333
19. 14. Convergence of a fully discrete variational scheme for a thin-film equation 356
20. 15. Interpretation of finite volume discretization schemes for the Fokker–Planck equation as gradient flows for the discrete Wasserstein distance 400
21. Index 417