Electrorheological Fluids: Modeling and Mathematical Theory / by Michael Růžička.

Format:

Book

Author/Creator:

Růžička, Michael, 1964- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1748.

Lecture Notes in Mathematics, 0075-8434 ; 1748

Language:

English

Subjects (All):

Hydraulic engineering.

Differential equations, Partial.

Engineering Fluid Dynamics.

Fluid- and Aerodynamics.

Partial Differential Equations.

Local Subjects:

Engineering Fluid Dynamics.

Fluid- and Aerodynamics.

Partial Differential Equations.

Physical Description:

1 online resource (XIV, 178 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000.

System Details:

text file PDF

Summary:

This is the first book to present a model, based on rational mechanics of electrorheological fluids, that takes into account the complex interactions between the electromagnetic fields and the moving liquid. Several constitutive relations for the Cauchy stress tensor are discussed. The main part of the book is devoted to a mathematical investigation of a model possessing shear-dependent viscosities, proving the existence and uniqueness of weak and strong solutions for the steady and the unsteady case. The PDS systems investigated possess so-called non-standard growth conditions. Existence results for elliptic systems with non-standard growth conditions and with a nontrivial nonlinear r.h.s. and the first ever results for parabolic systems with a non-standard growth conditions are given for the first time. Written for advanced graduate students, as well as for researchers in the field, the discussion of both the modeling and the mathematics is self-contained.

Other Format:

Printed edition:

ISBN:

9783540444275

Access Restriction:

Restricted for use by site license.