Global Existence of Smooth Solutions to the Incompressible 2D Navier-Stokes-Landau-Lifshitz Equations with the Dzyaloshinskii-Moriya Interaction and V-Flow Term

Guangwu  Wang; Hui Yang; Jun Zhang

doi:10.37256/cm.6220256341

Global Existence of Smooth Solutions to the Incompressible 2D Navier-Stokes-Landau-Lifshitz Equations with the Dzyaloshinskii-Moriya Interaction and V-Flow Term

Authors

Guangwu Wang School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, China https://orcid.org/0000-0001-6900-6249
Hui Yang School of Mathematics, Yunnan Normal University, Kunming, 650500, China
Jun Zhang College of Mathematical Sciences, Zhejiang University of Technology, Hangzhou, 310023, China

DOI:

https://doi.org/10.37256/cm.6220256341

Keywords:

incompressible Navier-Stokes-Landau-Lifshitz equations, Dzyaloshinskii-Moriya interaction, global smooth solution, small initial data

Abstract

The paper focuses on the incompressible Navier-Stokes equations coupled with the Landau-Lifshitz-Gilbert equations, incorporating the Dzyaloshinskii-Moriya (DM) interaction and a V-flow term, derived as models for magnetovi-scoelastic materials. It is demonstrated that under assumption small initial data there exist the global smooth solutions for this coupled system posed on T² or R² .

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Published

2025-03-13

How to Cite

Wang G, Yang H, Zhang J. Global Existence of Smooth Solutions to the Incompressible 2D Navier-Stokes-Landau-Lifshitz Equations with the Dzyaloshinskii-Moriya Interaction and V-Flow Term. Contemp. Math. [Internet]. 2025 Mar. 13 [cited 2026 Jun. 4];6(2):1803-52. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/6341

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Issue

Contemporary Mathematics, Volume 6 Issue 2 (2025), 1380-2725

Section

Review

License

This work is licensed under a Creative Commons Attribution 4.0 International License.