Document Type

Article

Publication Date

2024

DOI

10.3934/dcdss.2024184

Publication Title

Discrete and Continuous Dynamical Systems - Series S

Volume

17

Issue

11

Pages

i-iii

Abstract

[Introduction] Matter, conceptually classified into fluids and solids, can be completely described by the microscopic physics of its constituent atoms or molecules. However, for most engineering applications, a macroscopic or continuum description has usually been sufficient due to the large disparity between the spatial and temporal scales relevant to these applications and the scales of the underlying molecular dynamics. In this case, the microscopic physics merely determines material properties such as the viscosity of a fluid or the elastic constants of a solid. These material properties cannot be derived within the macroscopic framework, but the qualitative nature of the macroscopic dynamics is usually insensitive to the details of the underlying microscopic interactions.

Rights

Copyright © 2024 American Institute of Mathematical Sciences. All rights reserved.

"The author further retains all non-exclusive rights necessary to grant to the Author's current or future employing institution(s) the non-exclusive right to use, reproduces, distribute, display, publicly perform, and make copies of the work in electronic, digital or in print form in connection with teaching, digital repositories, conference presentations, lectures, other scholarly works, and all academic and professional activities conducted at the Author's employing institution(s), provided any electronic reproduction faithfully renders the appearance and functionality of each page in its entirety exactly as published online in the journal."

Included in accordance with publisher policy.

Comments

Extended title: "Preface DCDS-S Special Issue on Mesoscopic Methods and Their Applications to CFD"

Original Publication Citation

Tekitek, M. M., Krafczyk, M., & Luo, L.-S. (2024). Preface. Discrete and Continuous Dynamical Systems - Series S, 17(11), i-iii. https://doi.org/10.3934/dcdss.2024184

ORCID

0000-0003-1215-7892 (Luo)

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