On the Well-Posedness and Conservation Laws of a Family of Multiscale Deconvolution Models for the Magnetohydrodynamics Equations

Authors

Nicholas E. Wilson, Michigan Technological University

Document Type

Article

Publication Date

8-15-2014

Department

Department of Mathematical Sciences

Abstract

We present a mathematical study of a large eddy simulation (LES) model for the incompressible magnetohydrodynamics equations. The classical closure problem arising for LES models is solved with the multiscale deconvolution technique developed by Dunca in [11]. We prove the model admits unique, regular weak solutions and provide a mathematical study of the modeling error.

Publisher's Statement

© 2014 Elsevier Inc.

Publication Title

Journal of Mathematical Analysis and Applications

Recommended Citation

Wilson, N. (2014). On the Well-Posedness and Conservation Laws of a Family of Multiscale Deconvolution Models for the Magnetohydrodynamics Equations. Journal of Mathematical Analysis and Applications, 416(2), 534-552. http://doi.org/10.1016/j.jmaa.2014.02.011
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/6744