By Helmut Abels (auth.), Joachim Escher, Patrick Guidotti, Matthias Hieber, Piotr Mucha, Jan W. Prüss, Yoshihiro Shibata, Gieri Simonett, Christoph Walker, Wojciech Zajaczkowski (eds.)

ISBN-10: 3034800746

ISBN-13: 9783034800747

The quantity originates from the 'Conference on Nonlinear Parabolic difficulties' held in social gathering of Herbert Amann's seventieth birthday on the Banach middle in Bedlewo, Poland. It includes a choice of peer-reviewed examine papers via famous specialists highlighting contemporary advances in fields of Herbert Amann's curiosity equivalent to nonlinear evolution equations, fluid dynamics, quasi-linear parabolic equations and platforms, sensible research, and more.

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Rat. Mech. , 194(2):463–506, 2009. [4] H. Abels and M. Wilke. Convergence to equilibrium for the Cahn-Hilliard equation with a logarithmic free energy. , 67(11):3176–3193, 2007. M. B. A. Wheeler. Diffuse-interface methods in fluid mechanics. In Annual review of fluid mechanics, Vol. 30, volume 30 of Annu. Rev. , pages 139–165. Annual Reviews, Palo Alto, CA, 1998. F. M. Elliott. The Cahn-Hilliard gradient theory for phase separation with nonsmooth free energy. I. Mathematical analysis. European J. Appl.

E− 12 3. 1305e−05 e− 88 −7. 38 05 e− 13 7. 3e−0 1. 63 3. 36e−05 −1 −1 0 1 We = 2 1 −1 −1 39 02 00 195 −0. 0 −0 6. 000 11 1 02 −0. 00 04 13 2. 2. 000 0247 −0. 12 e− 05 −7. 1 5e 2. 76e−0 6 −0. 00 1 −0. 06e−05 06 −05 5 −2. 59e−05 03 05 00 0. 00 4 8 −0. 00033 00 0157 00 −0. −0. 0002 0. 00 72 03 00 0. 000202 247 5 −0 000 e−0 −0. 00 6e−05 −6 0 16 01 24 −0 05 −2. 000252 0 00 0. e− 6 4e−0 97 42 03 88 00 03 00 0. 94 e− 3e −5. 76e−06 −6. 00 −1. −0 66 −7. 00 00 0. 0. 000101 6. 1. 00 45 00 02 −0. 82 00 02 −0.

Inertial generalized Oldroyd-B flows. In the previous subsection, we studied the behavior of the generalized Oldroyd-B flows in the absence of inertia (creeping flows). Our aim here is to consider the more general case of inertial flows, and to analyse the effect of the Reynolds number in combination with the Weissenberg number, the viscosity parameter η, the exponent q, and the curvature ratio δ. 001) in the case of a constant viscosity (inertial Oldroyd-B fluid). The secondary flows exist and the corresponding stream function and wall shear stress have globally the same behavior as the creeping Oldroyd-B flows.

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Parabolic Problems: The Herbert Amann Festschrift by Helmut Abels (auth.), Joachim Escher, Patrick Guidotti, Matthias Hieber, Piotr Mucha, Jan W. Prüss, Yoshihiro Shibata, Gieri Simonett, Christoph Walker, Wojciech Zajaczkowski (eds.)


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