Geodesic
On the attainable set for scalar balance laws with distributed control
Corghi, Marco1 ; Marson, Andrea2
1 Via Monte Sabotino 99, 41124 Modena, Italy.
2 Dipartimento di Matematica, Via Trieste 63, 35121 Padova, Italy.
ESAIM: Control, Optimisation and Calculus of Variations, Tome 22 (2016) no. 1, pp. 236-266

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The paper deals with the set of attainable profiles of a solution u to a scalar balance law in one space dimension with strictly convex flux function

        ∂ t u+∂ x f(u)=z(t,x).

Here the function z is regarded as a bounded measurable control. We are interested in studying the set of attainable profiles at a fixed time T>0, both in case z(t,·) is supported in the all real line, and in case z(t,·) is supported in a compact interval [a,b] independent on the time variable t.

Reçu le :
DOI : 10.1051/cocv/2015009
Classification : 35L65, 35Q93
Keywords: Conservation laws, distributed control

Corghi, Marco 1 ; Marson, Andrea 2

1 Via Monte Sabotino 99, 41124 Modena, Italy.
2 Dipartimento di Matematica, Via Trieste 63, 35121 Padova, Italy. 
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     title = {On the attainable set for scalar balance laws with distributed control},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {236--266},
     publisher = {EDP-Sciences},
     volume = {22},
     number = {1},
     year = {2016},
     doi = {10.1051/cocv/2015009},
     zbl = {1335.35155},
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Corghi, Marco; Marson, Andrea. On the attainable set for scalar balance laws with distributed control. ESAIM: Control, Optimisation and Calculus of Variations, Tome 22 (2016) no. 1, pp. 236-266. doi: 10.1051/cocv/2015009

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