8 citations · 12 across the 6 of their papers we have counts for
7 papers
Propagation of Chaos for the Cucker-Smale Systems under heavy tail communication
Vinh Nguyen, Roman Shvydkoy
In this work we study propagation of chaos for solutions of the Liouville equation for the classical discrete Cucker-Smale system. Assuming that the communication kernel satisfies…
Lipschitz regularity results for nonlinear strictly elliptic equations and applications
Olivier Ley, Vinh Duc Nguyen
Most of lipschitz regularity results for nonlinear strictly elliptic equations are obtained for a suitable growth power of the nonlinearity with respect to the gradient variable (s…
Effective junction conditions for degenerate parabolic equations
Cyril Imbert, Vinh Duc Nguyen
We are interested in the study of parabolic equations on a multi-dimensional junction, i.e. the union of a finite number of copies of a half-hyperplane of dimension d + 1 whose bou…
Gradient bounds for nonlinear degenerate parabolic equations and application to large time behavior of systems
Olivier Ley, Vinh Duc Nguyen
We obtain new oscillation and gradient bounds for the viscosity solutions of fully nonlinear degenerate elliptic equations where the Hamiltonian is a sum of a sublinear and a super…
Large time behavior for some nonlinear degenerate parabolic equations
Olivier Ley, Vinh Duc Nguyen
We study the asymptotic behavior of Lipschitz continuous solutions of nonlinear degenerate parabolic equations in the periodic setting. Our results apply to a large class of Hamilt…
Some results on the large time behavior of weakly coupled systems of first-order Hamilton-Jacobi equations
Vinh Duc Nguyen
Systems of Hamilton-Jacobi equations arise naturally when we study the optimal control problems with pathwise deterministic trajectories with random switching. In this work, we are…
Large time behavior of weakly coupled systems of first-order Hamilton-Jacobi equations
Fabio Camilli, Olivier Ley, Paola Loreti +1
We show a large time behavior result for class of weakly coupled systems of first-order Hamilton-Jacobi equations in the periodic setting. We use a PDE approach to extend the conve…