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An existence result for the sandpile problem on flat tables with walls
The homogenized model of small oscillations of complex fluids
1.  Institute of Low Temperature Physics and Engineering, Ukrainian Academy of Sciences, Lenin Ave 47, Kharkiv 61164, Ukraine 
2.  Department of Mathematics and Materials Research Institute, Penn State University, University Park, PA168026401, 218 Mc Allister Building, United States 
3.  Institute for Low Temperature Physics and Engineering, Ukrainian Academy of Sciences, Lenin Ave 47, Kharkiv 61164, Ukraine 
We study the asymptotic behavior of the microscopic model as $\varepsilon\rightarrow 0$ and obtain the homogenized equations that can be considered as a macroscopic model of diluted solutions of interacting colloidal particles.
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2019 Impact Factor: 1.053
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