Global Well Posedness for the Thermally Radiative Magnetohydrodynamic Equations in 3D
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-10
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper, we study the thermally radiative magnetohydrodynamic equations in 3D, which describe the dynamical behaviors of magnetized fluids that have nonignorable energy and momentum exchange with radiation under the nonlocal thermal equilibrium case.
By using exquisite energy estimate, global existence and uniqueness of classical solutions to Cauchy problem in ℝ3 or T3 are established when initial data is a small perturbation of some given equilibrium.
We can further prove that the rates of convergence of solution toward the equilibrium state are algebraic in ℝ3 and exponential in T3 under some additional conditions on initial data.
The proof is based on the Fourier multiplier technique.
American Psychological Association (APA)
Jiang, Peng& Yu, Fei. 2020. Global Well Posedness for the Thermally Radiative Magnetohydrodynamic Equations in 3D. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1185435
Modern Language Association (MLA)
Jiang, Peng& Yu, Fei. Global Well Posedness for the Thermally Radiative Magnetohydrodynamic Equations in 3D. Journal of Function Spaces No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1185435
American Medical Association (AMA)
Jiang, Peng& Yu, Fei. Global Well Posedness for the Thermally Radiative Magnetohydrodynamic Equations in 3D. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1185435
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185435