Geodesic
Some remarks on multidimensional systems of conservation laws
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 15 (2004) no. 3-4, pp. 225-233

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This note is concerned with the Cauchy problem for hyperbolic systems of conservation laws in several space dimensions. We first discuss an example of ill-posedness, for a special system having a radial symmetry property. Some conjectures are formulated, on the compactness of the set of flow maps generated by vector fields with bounded variation. 
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     title = {Some remarks on multidimensional systems of conservation laws},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {225--233},
     publisher = {mathdoc},
     volume = {Ser. 9, 15},
     number = {3-4},
     year = {2004},
     zbl = {1162.35412},
     mrnumber = {MR2148881},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_2004_9_15_3-4_a5/}
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Bressan, Alberto. Some remarks on multidimensional systems of conservation laws. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 15 (2004) no. 3-4, pp. 225-233. http://geodesic.mathdoc.fr/item/RLIN_2004_9_15_3-4_a5/