Electrorheological Fluids: Modeling and Mathematical Theory [electronic resource] / by Michael Růžička.
Material type:
TextSeries: Lecture Notes in Mathematics ; 1748Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2000Description: XIV, 178 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540444275Subject(s): Physics | Differential equations, partial | Fluids | Hydraulic engineering | Physics | Fluids | Partial Differential Equations | Engineering Fluid DynamicsAdditional physical formats: Printed edition:: No titleDDC classification: 532 | 533.62 LOC classification: QC138-168.86QA930Online resources: Click here to access online
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Springer eBooksSummary: 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.
E-BOOKS
| Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Link to resource | Available | EBK1249 |
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.
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