Existence theory for generalized Newtonian fluids

著者

    • Breit, Dominic

書誌事項

Existence theory for generalized Newtonian fluids

Dominic Breit

(Mathematics in science and engineering / series editor, Goong Chen)

Academic Press is an imprint of Elsevier, c2017

  • : [pbk.]

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注記

Includes bibliographical references (p. 255-261) and index

内容説明・目次

内容説明

Existence Theory for Generalized Newtonian Fluids provides a rigorous mathematical treatment of the existence of weak solutions to generalized Navier-Stokes equations modeling Non-Newtonian fluid flows. The book presents classical results, developments over the last 50 years of research, and recent results with proofs.

目次

Part 1: Stationary problems1: Preliminaries2: Fluid mechanics and Orlicz spaces3: Solenoidal Lipschitz truncation4: Prandtl-Eyring fluids Part 2: Non-stationary problems5: Preliminaries6: Solenoidal Lipschitz truncation7: Power law fluids Part 3: Stochastic problems8: Preliminaries9: Stochastic PDEs10: Stochastic power law fluids Appendix A: Function spacesAppendix B: The A-Stokes systemAppendix C: Ito's formula in infinite dimensions

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