Abstract
ABSTRACT In this paper, the global well‐posedness of the solutions to the incompressible magneto‐micropolar equations with fractional dissipation and damping in is studied. Through the detailed analysis of the structure to the equations and the energy methods, we proved that there exists a unique global solution to the equations provided or . Compared to the Deng and Shang's result that the dissipation index is improved to by incorporating the nonlinear damping term. Furthermore, under the assumptions that and , the global existence and uniqueness of strong solutions are obtained. Our results indicate that the nonlinear damping term can, to varying degrees, improve the dissipation indexes and .
Affiliated Institutions
Related Publications
Nonlinear RLC Networks
This article considers the question of existence and uniqueness of the response of nonlinear time-varying RLC networks driven by independent voltage and current sources. It is p...
A Viscosity Solutions Approach to Shape-From-Shading
The problem of recovering a Lambertian surface from a single two-dimensional image may be written as a first-order nonlinear equation which presents the disadvantage of having s...
Time-dependent solution of the nonlinear Schrödinger equation for Bose-condensed trapped neutral atoms
We present numerical results from solving the time-dependent nonlinear Schr\"odinger equation (NLSE) that describes an inhomogeneous, weakly interacting Bose-Einstein condensate...
Dynamic 3D models with local and global deformations: deformable superquadrics
The authors present a physically based approach to fitting complex three-dimensional shapes using a novel class of dynamic models that can deform both locally and globally. They...
Deterministic Nonperiodic Flow
Finite systems of deterministic ordinary nonlinear differential equations may be designed to represent forced dissipative hydrodynamic flow. Solutions of these equations can be ...
Publication Info
- Year
- 2025
- Type
- article
- Citations
- 0
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
0
OpenAlex
Cite This
Qian Zu,
Hui Zhang
(2025).
Global Well‐Posedness of the 3D Magneto‐Micropolar Equations With Fractional Dissipation and Damping.
Mathematical Methods in the Applied Sciences
.
https://doi.org/10.1002/mma.70393
Identifiers
- DOI
- 10.1002/mma.70393