2 citations · 2 across the 4 of their papers we have counts for
8 papers · 1 filter
On a model of axisymmetric flows in a free boundary domain
Marc Sedjro
We consider a model of axisymmetric flows for a free boundary vortex embedded in a statically stable fluid at rest. We identify the boundary of the vortex by solving a variational…
Conservation laws arising in the study of forward-forward Mean-Field Games
Diogo Gomes, Levon Nurbekyan, Marc Sedjro
We consider forward-forward Mean Field Game (MFG) models that arise in numerical approximations of stationary MFGs. First, we establish a link between these models and a class of h…
One-dimensional, forward-forward mean-field games with congestion
Diogo Gomes, Marc Sedjro
Here, we consider one-dimensional forward-forward mean-field games (MFGs) with congestion, which were introduced to approximate stationary MFGs. We use methods from the theory of c…
On the uniqueness of minimizers for a class of variational problems with Polyconvex integrand
Romeo Awi, Marc Sedjro
We prove existence and uniqueness of minimizers for a family of energy functionals that arises in Elasticity and involves polyconvex integrands over a certain subset of displacemen…
One-dimensional forward-forward mean-field games
Diogo Gomes, Levon Nurbekyan, Marc Sedjro
While the general theory for the terminal-initial value problem for mean-field games (MFGs) has achieved a substantial progress, the corresponding forward-forward problem is still…
A variational time discretization for the compressible Euler equations
Fabio Cavalletti, Marc Sedjro, Michael Westdickenberg
We introduce a variational time discretization for the multi-dimensional gas dynamics equations, in the spirit of minimizing movements for curves of maximal slope. Each timestep re…
On a model of forced axisymmetric flows
Mike Cullen, Marc Sedjro
In this work, we consider a model of forced axisymmetric flows which is derived from the inviscid Boussinesq equations. What makes these equations unusual is the boundary condition…
A Simple Proof of Global Existence for the 1D Pressureless Gas Dynamics Equations
Fabio Cavalletti, Marc Sedjro, Michael Westdickenberg
Sticky particle solutions to the one-dimensional pressureless gas dynamics equations can be constructed by a suitable metric projection onto the cone of monotone maps, as was shown…