Microscopic Expression of Anomalous Dissipation in Passive Scalar Transport-Reference-Cited by-同舟云学术

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Microscopic Expression of Anomalous Dissipation in Passive Scalar Transport

Published:2023-12-11 Issue:1 Volume:26 Page:
ISSN:1422-6928
Container-title:Journal of Mathematical Fluid Mechanics
language:en
Short-container-title:J. Math. Fluid Mech.

Author:

Tsuruhashi Tomonori,Yoneda Tsuyoshi

Funder

JSPS Grants-in-Aid for Scientific Research

JSPS Grant-in-Aid for JSPS Research Fellows

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Condensed Matter Physics,Mathematical Physics

Link

https://link.springer.com/content/pdf/10.1007/s00021-023-00834-3.pdf

Reference11 articles.

1. Ambrosio, L.: Transport equation and Cauchy problem for $$BV$$ vector fields. Invent. Math. 158(2), 227–260 (2004)

2. S. Armstrong, V. Vicol. Anomalous diffusion by fractal homogenization. arXiv:2305.05048 (2023)

3. Bianchini, S., Bonicatto, P.: A uniqueness result for the decomposition of vector fields in $$\mathbb{R} ^d$$. Invent. Math. 220(1), 255–393 (2020)

4. Brenier, Y.: Averaged multivalued solutions for scalar conservation laws. SIAM J. Numer. Anal. 21(6), 1013–1037 (1984)

5. DiPerna, R.J., Lions, P.L.: Ordinary differential equations, transport theory and Sobolev spaces. Invent. Math. 98(3), 511–547 (1989)

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