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Pullback attractors for 2D MHD equations with delays on unbounded domains
by
Song, Xiaoya
in
2D MHD equations
/ Analysis
/ Applications
/ Approximations and Expansions
/ Banach spaces
/ Charged particles
/ Delay
/ Difference and Functional Equations
/ Energy methods
/ Magnetic fields
/ Mathematics
/ Mathematics and Statistics
/ Ordinary Differential Equations
/ Partial Differential Equations
/ Pullback attractor
/ Recent Advances in Nonlinear Elliptic Partial Differential Equations: Theory
/ Reynolds number
/ Unbounded domain
/ Velocity
2025
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Pullback attractors for 2D MHD equations with delays on unbounded domains
by
Song, Xiaoya
in
2D MHD equations
/ Analysis
/ Applications
/ Approximations and Expansions
/ Banach spaces
/ Charged particles
/ Delay
/ Difference and Functional Equations
/ Energy methods
/ Magnetic fields
/ Mathematics
/ Mathematics and Statistics
/ Ordinary Differential Equations
/ Partial Differential Equations
/ Pullback attractor
/ Recent Advances in Nonlinear Elliptic Partial Differential Equations: Theory
/ Reynolds number
/ Unbounded domain
/ Velocity
2025
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Do you wish to request the book?
Pullback attractors for 2D MHD equations with delays on unbounded domains
by
Song, Xiaoya
in
2D MHD equations
/ Analysis
/ Applications
/ Approximations and Expansions
/ Banach spaces
/ Charged particles
/ Delay
/ Difference and Functional Equations
/ Energy methods
/ Magnetic fields
/ Mathematics
/ Mathematics and Statistics
/ Ordinary Differential Equations
/ Partial Differential Equations
/ Pullback attractor
/ Recent Advances in Nonlinear Elliptic Partial Differential Equations: Theory
/ Reynolds number
/ Unbounded domain
/ Velocity
2025
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Pullback attractors for 2D MHD equations with delays on unbounded domains
Journal Article
Pullback attractors for 2D MHD equations with delays on unbounded domains
2025
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Overview
The aim of the paper is to consider the asymptotic dynamics of weak solutions for 2D MHD equations with delay terms on unbounded domains. First, we propose some appropriate assumptions of the delay terms and establish the existence and uniqueness of weak solutions. Then, the process
U
(
⋅
,
⋅
)
generated by the weak solutions is constructed. Finally, using the energy method and Arzelà–Ascoli theorem, we can establish the compactness of the process; furthermore, we prove the existence of a compact pullback attractor for the system.
Publisher
Springer International Publishing,Hindawi Limited,SpringerOpen
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