44 citations · 234 across the 46 of their papers we have counts for
4 papers · 2 filters
A general result on the approximation of local conservation laws by nonlocal conservation laws: The singular limit problem for exponential kernels
Giuseppe Maria Coclite, Jean-Michel Coron, Nicola De Nitti +2
We deal with the problem of approximating a scalar conservation law by a conservation law with nonlocal flux. As convolution kernel in the nonlocal flux, we consider an exponential…
Regularity and energy transfer for a nonlinear beam equation
Giuseppe Maria Coclite, Giuseppe Fanizza, Francesco Maddalena
In this paper we study some key effects of a discontinuous forcing term in a fourth order wave equation on a bounded domain, modeling the adhesion of an elastic beam with a substra…
Singular Diffusion with Neumann boundary conditions
Giuseppe Maria Coclite, Helge Holden, Nils Henrik Risebro
In this paper we develop an existence theory for the nonlinear initial-boundary value problem with singular diffusion , w…
Non-local scalar conservation laws with discontinuous flux
Felisia Angela Chiarello, Giuseppe Maria Coclite
We prove the well-posedness of entropy weak solutions for a class of space-discontinuous scalar conservation laws with non-local flux arising in traffic modeling. We approximate th…