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Crispo, Francesca; Grisanti, Carlo Romano

doi:10.1016/j.jmaa.2009.02.013

Journal of Mathematical Analysis and Applications

2009

DOI: 10.1016/j.jmaa.2009.02.013

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On theC1,γ(Ω¯)∩W2,2

Francesca Crispo

Carlo Romano Grisanti

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Cited by 23 publications

(1 citation statement)

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“…In that paper, µ = 0 is allowed, but the model is not related with fluid directly. The existence of strong solution of (1) for S(x, D(u)) = (µ + |D(u)|) p(x)−2 D(u) with µ > 0 was proved in [8] for γ 1 > 2. And the same result was proved in [11] for γ 1 > 9 5 .…”

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confidence: 99%

Interior regularity to the steady incompressible shear thinning fluids with non-Standard growth

Bae¹,

So²,

Youn³

2018

Networks &Amp; Heterogeneous Media

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We consider weak solutions to the equations of stationary motion of a class of non-Newtonian fluids which includes the power law model. The power depends on the spatial variable, which is motivated by electrorheological fluids. We prove the existence of second order derivatives of weak solutions in the shear thinning cases.2010 Mathematics Subject Classification. Primary: 35Q35; Secondary: 35B65, 76A05.

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mentioning

confidence: 99%

Interior regularity to the steady incompressible shear thinning fluids with non-Standard growth

Bae¹,

So²,

Youn³

2018

Networks &Amp; Heterogeneous Media

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On the Existence, Uniqueness and Regularity of Solutions for a Class of MHD Equations of Non-Newtonian Type

Yang

Wang

2020

Mediterr. J. Math.

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In this paper, we consider a steady MHD fluid model of non-Newtonian type in a smooth bounded domain Ω ∈ R 3 . Using the iterative method, under the condition that the external force is small in a suitable sense, we proved the existence of C 1,γ (Ω) × W 2,r (Ω) solutions of the systems for the exponent 1 < p < 2 and we show that this solution is unique in case 6 5 < p < 2. Moreover, we also proved the higher regularity properties of this solution.

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Distributed Control for Shear-Thinning Non-Newtonian Fluids

Guerra

2012

J. Math. Fluid Mech.

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On theC1,γ(Ω¯)∩W2,2

Cited by 23 publications

References 31 publications

Interior regularity to the steady incompressible shear thinning fluids with non-Standard growth

Interior regularity to the steady incompressible shear thinning fluids with non-Standard growth

On the Existence, Uniqueness and Regularity of Solutions for a Class of MHD Equations of Non-Newtonian Type

Distributed Control for Shear-Thinning Non-Newtonian Fluids

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