Search Results - "Cardaliaguet, P."

Microscopic Derivation of a Traffic Flow Model with a Bifurcation by Cardaliaguet, P., Forcadel, N.

“…The goal of the paper is a rigorous derivation of a macroscopic traffic flow model with a bifurcation or a local perturbation from a microscopic one. The…”
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The Convergence Problem in Mean Field Games with Local Coupling by Cardaliaguet, P.

“…The paper studies the convergence, as N tends to infinity, of a system of N coupled Hamilton–Jacobi equations, the Nash system, when the coupling between the…”
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Long Time Average of First Order Mean Field Games and Weak KAM Theory by Cardaliaguet, P.

“…We show that the long time average of solutions of first order mean field game systems in finite horizon is governed by an ergodic system of mean field game…”
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Geodesics for a class of distances in the space of probability measures by Cardaliaguet, P., Carlier, G., Nazaret, B.

“…In this paper, we study the characterization of geodesics for a class of distances between probability measures introduced by Dolbeault, Nazaret and Savaré. We…”
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Representations Formulas for Some Differential Games with Asymmetric Information by Cardaliaguet, P.

“…We compute the value of several two-player zero-sum differential games in which the players have an asymmetric information on the random terminal payoff…”
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Some Recent Aspects of Differential Game Theory by Buckdahn, R., Cardaliaguet, P., Quincampoix, M.

“…This survey paper presents some new advances in theoretical aspects of differential game theory. We particular focus on three topics: differential games with…”
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Homogenization and Enhancement for the G—Equation by Cardaliaguet, P., Nolen, J., Souganidis, P. E.

“…We consider the so-called G -equation, a level set Hamilton–Jacobi equation used as a sharp interface model for flame propagation, perturbed by an oscillatory…”
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Pathwise Strategies for Stochastic Differential Games with an Erratum to “Stochastic Differential Games with Asymmetric Information” by Cardaliaguet, P., Rainer, C.

“…We introduce a new notion of pathwise strategies for stochastic differential games. This allows us to give a correct meaning to some statement asserted in…”
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A discussion about the homogenization of moving interfaces by Cardaliaguet, P., Lions, P.-L., Souganidis, P.E.

“…There has been considerable interest lately in the homogenization theory for first- and second-order partial differential equations in periodic/almost periodic…”
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Hölder regularity of the normal distance with an application to a PDE model for growing sandpiles by Cannarsa, P., Cardaliaguet, P., Giorgieri, E.

“…Given a bounded domain \Omega in \mathbb{R}^2 with smooth boundary, the {\em cut locus} \overline \Sigma is the closure of the set of nondifferentiability…”
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A boundary value problem for a PDE model in mass transfer theory: Representation of solutions and applications by Cannarsa, P., Cardaliaguet, P., Crasta, G., Giorgieri, E.

“…The system of partial differential equations (formula omitted) arises in the analysis of mathematical models for sandpile growth and in the context of the…”
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Nonsmooth semipermeable barriers, Isaacs' equation, and application to a differential game with one target and two players by CARDALIAGUET, P

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Conditional Essential Suprema with Applications by Barron, E.N., Cardaliaguet, P., Jensen, R.

“…The conditional supremum of a random variable X on a probability space given a sub-{sigma}-algebra is defined and proved to exist as an application of the…”
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A note on contractive semi-groups on a 1:1 junction for scalar conservation laws and Hamilton-Jacobi equations by Cardaliaguet, P

“…We show that any continuous semi-group on $L^1$ which is (i) $L^1-$contractive, (ii) satisfies the conservation law $\partial_t \rho+\partial_x(H(x,\rho))=0$…”
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A microscopic derivation of a traffic flow model on a junction with two entry lines by Cardaliaguet, P

“…We derive a conservation law on a network made of two incoming branches and a single outgoing one from a discrete traffic flow model. The continuous model is…”
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Optimal times for constrained nonlinear control problems without local controllability by CARDALIAGUET, P, QUINCAMPOIX, M, SAINT-PIERRE, P

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Radon—Nikodym Theorem in L by Barron, E. N., Cardaliaguet, P., Jensen, R. R.

“…We prove that for any given set function Fwhich satisfies F(∪ Ai) =supi F(Ai)and F(A)=-∈ftyif meas (A)=0 , there must exist a measurable function gso that…”
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An optimal control problem of traffic flow on a junction by Cardaliaguet, P, Souganidis, P. E

“…We investigate how to control optimally a traffic flow through a junction on the line by acting only on speed reduction or traffic light at the junction. We…”
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Microscopic derivation of a traffic flow model with a bifurcation by Cardaliaguet, P, Forcadel, N

“…The goal of the paper is a rigorous derivation of a macroscopic traffic flow model with a bifurcation or a local perturbation from a microscopic one. The…”
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Optimal Times for Constrained Nonlinear Control Problems Without Local Controllability by Cardaliaguet, P., Quincampoix, M., Saint-Pierre, P.

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