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Averaging of a nonlinear bipolar model with phase transition and oscillating external forces
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Theodore Tachim Medjo
Published/Copyright:
November 4, 2015
Abstract
In this article, we consider a non-autonomous nonlinear bipolar with phase transition in a two-dimensional bounded domain. We assume that the external force is singularly oscillating and depends on a small parameter ϵ. We prove the existence of the uniform global attractor 𝒜ϵ. Furthermore, using the method of [Nonlinearity 22 (2009), no. 2, 351–370] in the case of the two-dimensional Navier–Stokes systems, we study the convergence of 𝒜ϵ as ϵ goes to zero.
Keywords: Non-Newtonian; nonlinear bipolar flow; phase transition; global attractor; oscillating force
Received: 2013-7-17
Revised: 2015-8-6
Accepted: 2015-9-14
Published Online: 2015-11-4
Published in Print: 2015-12-1
© 2015 by De Gruyter
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- Frontmatter
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- Global existence and stability results for partial fractional random differential equations
- One-phase Stefan problem with temperature-dependent thermal conductivity and a boundary condition of Robin type
- On Janowski harmonic functions
- Oscillation results for higher order nonlinear neutral differential equations with positive and negative coefficients
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Keywords for this article
Non-Newtonian;
nonlinear bipolar flow;
phase transition;
global attractor;
oscillating force
Articles in the same Issue
- Frontmatter
- Approximation of common fixed points of left Bregman strongly nonexpansive mappings and solutions of equilibrium problems
- Global existence and stability results for partial fractional random differential equations
- One-phase Stefan problem with temperature-dependent thermal conductivity and a boundary condition of Robin type
- On Janowski harmonic functions
- Oscillation results for higher order nonlinear neutral differential equations with positive and negative coefficients
- Averaging of a nonlinear bipolar model with phase transition and oscillating external forces
- Evolution and monotonicity of the first eigenvalue of p-Laplacian under the Ricci-harmonic flow
