Topological Optimization and Optimal Transport : In the Applied Sciences.

Intro -- 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 -- 4. High-order topological expansions for Helmholtz problems in 2D -- 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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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.