Topological optimization and optimal transport [online] : In the Applied Sciences / ed. Maïtine Bergounioux, Édouard Oudet, Martin Rumpf, Guillaume Carlier, Thierry Champion, Filippo Santambrogio

Frontmatter Contents

Part I 1. Geometric issues in PDE problems related to the infinity Laplace operator 2. Solution of free boundary problems in the presence of geometric uncertainties 3. Distributed and boundary control problems for the semidiscrete Cahn–Hilliard/Navier–Stokes system with nonsmooth Ginzburg–Landau energies 5. On a new phase field model for the approximation of interfacial energies of multiphase systems 6. Optimization of eigenvalues and eigenmodes by using the adjoint method 7. Discrete varifolds and surface approximation

Part II Preface 8. Weak Monge–Ampère solutions of the semi-discrete optimal transportation problem 9. Optimal transportation theory with repulsive costs 10. Wardrop equilibria: long-term variant, degenerate anisotropic PDEs and numerical approximations 11. On the Lagrangian branched transport model and the equivalence with its Eulerian formulation 12. On some nonlinear evolution systems which are perturbations of Wasserstein gradient flows 13. Pressureless Euler equations with maximal density constraint: a time-splitting scheme 14. Convergence of a fully discrete variational scheme for a thin-film equation 15. Interpretation of finite volume discretization schemes for the Fokker–Planck equation as gradient flows for the discrete Wasserstein distance Index

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