1 citations · 3 across the 5 of their papers we have counts for
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An Interior Estimate for a Nonlinear Parabolic Equation
Giuseppe Maria Coclite
In this paper there are estimated the derivatives of the solution of an initial boundary value problem for a nonlinear uniformly parabolic equation in the interior with the total v…
Some Results on the Boundary Control of Systems of Conservation Laws
F. Ancona, A. Bressan, G. M. Coclite
This note is concerned with the study of the initial boundary value problem for systems of conservation laws from the point of view of control theory, where the initial data is fix…
On the Attainable set for Temple Class Systems with Boundary Controls
Fabio Ancona, Giuseppe Maria Coclite
Consider the initial-boundary value problem for a strictly hyperbolic, genuinely nonlinear, Temple class system of conservation laws % $$ u_t+f(u)_x=0, \qquad u(0,x)=\ov u(x), \qqu…
Traffic Flow on a Road Network
G. M. Coclite, B. Piccoli
This paper is concerned with a fluidodynamic model for traffic flow. More precisely, we consider a single conservation law, deduced from conservation of the number of cars, defined…