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Existence of Strong Solutions for Electrorheological Fluids in Two Dimensions: Steady Dirichlet Problem

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Geometric Analysis and Nonlinear Partial Differential Equations

Summary

We prove the existence of local strong solutions to a system of nonlinear partial differential equations describing steady planar motions of electrorheological fluids with Dirichlet boundary conditions for p > 6/5.

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References

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Ettwein, F., Růžička, M. (2003). Existence of Strong Solutions for Electrorheological Fluids in Two Dimensions: Steady Dirichlet Problem. In: Hildebrandt, S., Karcher, H. (eds) Geometric Analysis and Nonlinear Partial Differential Equations. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55627-2_31

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  • DOI: https://doi.org/10.1007/978-3-642-55627-2_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44051-2

  • Online ISBN: 978-3-642-55627-2

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