Overview

This volume is the proceedings of the IMA workshop ""Degenerate Diffusions"" held at the University of Minnesota from May 13-May 18, 1991. The workshop consisted of two parts. The emphasis of the first four days was on current progress or new problems in nonlinear diffusions involving free boundaries or sharp interfaces. Analysts and geometers will find some of the mathematical models described in this volume interesting; and the papers of more pure mathematical nature included here should provide applied mathematicians with powerful methods and useful techniques in handling singular perturbation problems as well as free boundary problems. The last two days of the workshop were a celebration of James Serrin's 65th birthday. A wide range of topics was covered in this part of the workshop. As a consequence, the scope of this book is much broader than what the title Degenerate Diffusions might suggest.

Full Product Details

Author:   Wei-Ming Ni ,  L.A. Peletier ,  J.L. Vazquez
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   1993 ed.
Volume:   47
Dimensions:   Width: 15.50cm , Height: 1.50cm , Length: 23.50cm
Weight:   1.180kg
ISBN:  

9780387940687

ISBN 10:   0387940685
Pages:   228
Publication Date:   24 June 1993
Audience:   General/trade ,  College/higher education ,  General ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Nonlinear, nonlocal problems of fluid-solid interactions.- Curvature dependent phase boundary motion and parabolic double obstacle problems.- On the Harnack inequality for non-negative solutions of singular parabolic equations.- A BMO bound for eigenfunctions on Riemannian manifolds.- On some monotonicity in time properties for a quasilinear parabolic equation with source.- On the asymptotic properties of Leray’s solutions to the exterior steady three-dimensional Navier-Stokes equations with zero velocity at infinity.- Some results on blow up for semilinear parabolic problems.- Long-time behaviour of solutions of quasilinear parabolic equations.- Spike-layers in semilinear elliptic singular perturbation problems.- Evolution of nonparametric surfaces with speed depending on curvature, III. Some remarks on mean curvature and anisotropic flows.- Continuation and limit behavior for damped quasi-variational systems.- Multibump solutions of a semilinear elliptic PDE on Rn.- Einstein/Yang-Mills equations.- The Dirichlet problem for functions of least gradient.- Asymptotic behaviour of nonlinear parabolic equations. Anomalous exponents.

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