arXiv Open Access 2016

On the chain rule formulas for divergences and applications to conservation laws

Graziano Crasta Virginia De Cicco

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Abstrak

In this paper we prove a nonautonomous chain rule formula for the distributional divergence of the composite function $\boldsymbol{v}(x)=\boldsymbol{B}(x,u(x))$, where $\boldsymbol{B}(\cdot,t)$ is a divergence--measure vector field and $u$ is a function of bounded variation. As an application, we prove a uniqueness result for scalar conservation laws with discontinuous flux.

Topik & Kata Kunci

math.AP

Penulis (2)

Graziano Crasta

Virginia De Cicco

Format Sitasi

APA MLA BibTeX

Crasta, G., Cicco, V.D. (2016). On the chain rule formulas for divergences and applications to conservation laws. https://arxiv.org/abs/1605.09005

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2016
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓