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electro-rheological fluid

ESAIM: Control, Optimisation and Calculus of Variations (1)

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On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications
Lars Diening, Josef Málek, Mark Steinhauer
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 14 / Issue 2 / April 2008

Published online by Cambridge University Press:

20 March 2008, pp. 211-232

Print publication:

April 2008
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We study properties of Lipschitz truncations of Sobolev functions with constant and variable exponent.As non-trivial applications we use the Lipschitz truncations to provide a simplified proof of an existence result for incompressible power-law like fluids presented in[Frehse et al., SIAM J. Math. Anal34 (2003) 1064–1083]. We also establish new existence results to a class of incompressible electro-rheological fluids.