Conservation Laws Invariant for Galileo Group; Cemracs Preliminary results
arXiv:1101.25553 citationsh-index: 11
Originality Synthesis-oriented
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For mathematicians and physicists studying conservation laws, this work provides a theoretical framework linking invariance to specific equations, though it is preliminary and incremental.
The paper proposes a notion of hyperbolic conservation laws invariant under the Galileo group and shows that under natural physical and mathematical hypotheses, this leads to the gas dynamics equations or to exotic systems.
We propose a notion of hyperbolic system of conservation laws invariant for the Galileo group of transformations. We show that with natural physical and mathematical hypotheses, such a system conducts to the gas dynamics equations or to exotic systems that are detailed in this contribution to Cemracs 99.