Document Zbl 1063.35054

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Depauw, Nicoals

Nonuniqueness of transport by an almost BV vector field. (Non-unicité du transport par un champ de vecteurs presque BV.) (French) Zbl 1063.35054

Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 2002-2003, Exp. No. XIX, 9 p. (2003).

This paper concerns a non-characteristic Cauchy problem for a transport equation with non-regular velocity field. An example of nonuniqueness is presented, and uniqueness is proved under Lipschitz and divergence free conditions of the velocity field.

Reviewer: Lutz Recke (Berlin)

Cited in 7 Documents

MSC:

35F20	Nonlinear first-order PDEs
35L60	First-order nonlinear hyperbolic equations

Keywords:

non-characteristic Cauchy problem; example of nonuniqueness

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