Abstract
Micropolar fluid and magneto-micropolar fluid systems are systems of equations with distinctive feature in its applicability and also mathematical difficulty. The purpose of this work is to follow the approach of [ 8 ] and show that another general class of systems of equations, that includes the two-dimensional micropolar and magneto-micropolar fluid systems, is well-posed and satisfies the Laplace principle, and consequently the large deviation principle, with the same rate function.
Highlights
The theory of large deviations is an important direction of research and has been studied by many (e.g. [13, 20], Chapter 12 [12], [7])
The authors in [16] developed an approach to this theory through proving the convergence of solutions to variational problems, based on the fact that the large deviation principle (LDP) in a Polish space is equivalent to Laplace principle
The work in [8] covered many models that include the NavierStokes equations (NSE), magnetohydrodynamics (MHD) system, Benard problem, magnetic Benard problem, Leray ↵- model and shell models of turbulence; we refer to its accompanying paper [9] for Wong-Zakai approximation results
Summary
Micropolar fluid and magneto-micropolar fluid systems are sysAbstract. tems of equations with distinctive feature in its applicability and mathematical di culty. Micropolar fluid and magneto-micropolar fluid systems are sysAbstract. Tems of equations with distinctive feature in its applicability and mathematical di culty. The purpose of this work is to follow the approach of [8] and show that another general class of systems of equations, that includes the twodimensional micropolar and magneto-micropolar fluid systems, is well-posed and satisfies the Laplace principle, and the large deviation principle, with the same rate function
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