Abstract
This chapter aims at the mathematical theory of incompressible viscoelastic fluids and related complex fluid models. An energetic variational approach is employed to derive the hydrodynamics of complex fluids which focuses on the competition and coupling between different physical effects. Such a framework also provides guides to the corresponding analysis. This chapter includes those analytical results for both classical solutions with small initial data and weak solutions with large initial data for these systems.
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CITATION STYLE
Hu, X., Lin, F. H., & Liu, C. (2018). Equations for viscoelastic fluids. In Handbook of Mathematical Analysis in Mechanics of Viscous Fluids (pp. 1045–1073). Springer International Publishing. https://doi.org/10.1007/978-3-319-13344-7_25
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