{"product_id":"topological-optimization-and-optimal-transport-in-the-applied-sciences-9783110439267","title":"Topological Optimization and Optimal Transport: In the Applied Sciences","description":"\u003cp\u003e • Author(s): Maïtine Bergounioux | Édouard Oudet | Martin Rumpf\u003cbr\u003e • Publisher: de Gruyter\u003cbr\u003e • Publisher Imprint: de Gruyter\u003cbr\u003e • BISAC: Optimization\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eBy discussing topics such as shape representations, relaxation theory and optimal transport, trends and synergies of mathematical tools required for optimization of geometry and topology of shapes are explored. Furthermore, applications in science and engineering, including economics, social sciences, biology, physics and image processing are covered. \u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eContents\u003cbr\u003e\u003c\/strong\u003ePart I \u003c\/p\u003e \u003cul\u003e \u003cli\u003eGeometric issues in PDE problems related to the infinity Laplace operator \u003c\/li\u003e \u003cli\u003eSolution of free boundary problems in the presence of geometric uncertainties \u003c\/li\u003e \u003cli\u003eDistributed and boundary control problems for the semidiscrete Cahn-Hilliard\/Navier-Stokes system with nonsmooth Ginzburg-Landau energies \u003c\/li\u003e \u003cli\u003eHigh-order topological expansions for Helmholtz problems in 2D \u003c\/li\u003e \u003cli\u003eOn a new phase field model for the approximation of interfacial energies of multiphase systems \u003c\/li\u003e \u003cli\u003eOptimization of eigenvalues and eigenmodes by using the adjoint method \u003c\/li\u003e \u003cli\u003eDiscrete varifolds and surface approximation \u003c\/li\u003e\n\u003c\/ul\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003ePart II \u003c\/p\u003e \u003cul\u003e \u003cli\u003eWeak Monge-Ampere solutions of the semi-discrete optimal transportation problem \u003c\/li\u003e \u003cli\u003eOptimal transportation theory with repulsive costs \u003c\/li\u003e \u003cli\u003eWardrop equilibria: long-term variant, degenerate anisotropic PDEs and numerical approximations \u003c\/li\u003e \u003cli\u003eOn the Lagrangian branched transport model and the equivalence with its Eulerian formulation \u003c\/li\u003e \u003cli\u003eOn some nonlinear evolution systems which are perturbations of Wasserstein gradient flows \u003c\/li\u003e \u003cli\u003ePressureless Euler equations with maximal density constraint: a time-splitting scheme \u003c\/li\u003e \u003cli\u003eConvergence of a fully discrete variational scheme for a thin-film equatio \u003c\/li\u003e \u003cli\u003eInterpretation of finite volume discretization schemes for the Fokker-Planck equation as gradient flows for the discrete Wasserstein distance \u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Atlantic Books","offers":[{"title":"Hardcover","offer_id":46490582483095,"sku":"9783110439267","price":19319.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783110439267.jpg?v=1766346031","url":"https:\/\/atlanticbooks.com\/products\/topological-optimization-and-optimal-transport-in-the-applied-sciences-9783110439267","provider":"Atlantic Books","version":"1.0","type":"link"}