Statistical solutions to the Euler system of gas dynamics
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908805668798464 |
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| author | Feireisl, Eduard |
| author_facet | Feireisl, Eduard |
| contents | We consider the (complete) Euler system describing the motion of a compressible perfect fluid. We propose a platform suitable for constructing the statistical solutions. The main ingredients of our approach include:
1. The concept of dissipative (measure{valued) solution to the Euler system. 2. A single step selection procedure based on minimizing the Bregman divergence of a
given solution to the maximal entropy equilibrium. 3. A construction of a Markov semigroup via push forward measures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_02205 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Statistical solutions to the Euler system of gas dynamics Feireisl, Eduard Analysis of PDEs We consider the (complete) Euler system describing the motion of a compressible perfect fluid. We propose a platform suitable for constructing the statistical solutions. The main ingredients of our approach include: 1. The concept of dissipative (measure{valued) solution to the Euler system. 2. A single step selection procedure based on minimizing the Bregman divergence of a given solution to the maximal entropy equilibrium. 3. A construction of a Markov semigroup via push forward measures. |
| title | Statistical solutions to the Euler system of gas dynamics |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2602.02205 |