Optimal Multiphase Transportation with prescribed momentum
نویسندگان
چکیده
منابع مشابه
Optimal Transportation in the presence of a prescribed pressure field
The optimal (Monge-Kantorovich) transportation problem is discussed from several points of view. The Lagrangian formulation extends the action of the Lagrangian L(v, x, t) from the set of orbits in Rn to a set of measure-valued orbits. The Eulerian, dual formulation leads an optimization problem on the set of sub-solutions of the corresponding Hamilton-Jacobi equation. Finally, the Monge proble...
متن کاملOptimal Transportation with Capacity Constraints
The classical problem of optimal transportation can be formulated as a linear optimization problem on a convex domain: among all joint measures with fixed marginals find the optimal one, where optimality is measured against a cost function. Here we consider a natural but largely unexplored variant of this problem by imposing a pointwise constraint on the joint (absolutely continuous) measures: ...
متن کاملOptimal Spatial Pricing Strategies with Transportation Costs
We consider an optimization problem in a given region Q where an agent has to decide the price p(x) of a product for every x ∈ Q. The customers know the pricing pattern p and may shop at any place y, paying the cost p(y) and additionally a transportation cost c(x, y) for a given transportation cost function c. We will study two models: the first one where the agent operates everywhere on Q and ...
متن کاملMomentum-based approximation of incompressible multiphase fluid flows
Funding information National Science Foundation, Grant/Award Number: DMS-1620058 and DMS-1619892; Air Force Office of Scientific Research, USAF, Grant/Award Number: FA9550-15-1-0257; Army Research Office, Grant/Award Number: W911NF-15-1-0517; GENCI (Grand Equipement National de Calcul Intensif) Summary We introduce a time stepping technique using the momentum as dependent variable to solve inco...
متن کاملThe Optimal Momentum Map
The presence of symmetries in a Hamiltonian system usually implies the existence of conservation laws that are represented mathematically in terms of the dynamical preservation of the level sets of a momentum mapping. The symplectic or Marsden–Weinstein reduction procedure takes advantage of this and associates to the original system a new Hamiltonian system with fewer degrees of freedom. Howev...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ESAIM: Control, Optimisation and Calculus of Variations
سال: 2002
ISSN: 1292-8119,1262-3377
DOI: 10.1051/cocv:2002024