The present issue of the Rocky Mountain Journal of Mathematics contains papers ... C. Jones, Topological techniques for stability of one-dimensional waves. 10.
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS Volume 18, Number 2, Spring 1988
N O N L I N E A R PARTIAL DIFFERENTIAL EQUATIONS C O N F E R E N C E KLAUS SCHMITT
The present issue of the Rocky Mountain Journal of Mathematics contains papers which are related to lectures presented at a meeting on Nonlinear Partial Differential Equations which was held at the University of Utah, February 5-7, 1986. The emphasis of the conference was on problems from Fluid Dynamics, The Theory of Elasticity, Bifurcation Theory and the Numerical Analysis of Nonlinear Problems. The following are the lectures presented:
1. E. Allgower, Highly singular equations and bifurcation. 2. C. Amick, Solitary water waves in the presence of surface tension. 3. P. Bates, Stabilization for degenerate parabolic equations. 4. S. Cantrell, Uniqueness and nonuniqueness of steady solutions of diffusive Lotka-Volterra competition models. 5. C. Cosner, Symmetries for positive solutions of nonlinear elliptic equations. 6. D. DeFigueiredo, Multiplicity of solutions of semilinear elliptic problems. 7. F. Hoppensteadt, The rotation vector method for Hamilton-Jacobi equations. 8. J. Ize, Necessary and sufficient conditions for bifurcation. 9. C. Jones, Topological techniques for stability of one-dimensional waves. 10. K. Kirchgässner, Robust properties of elliptic equations under increasing dimension. 11. H. Kuiper, Numerically irrelevant solutions for non-linear boundary value problems. 12. H. Mittelman, Numerical methods for solving bifurcation problems. 13. H. Othmer, Problems on coupled nonlinear oscillators. 14. H.-O. Peitgen, On continuous and discrete Newton methods. 15. J. Renardy, Instabilities in steady flows of two fluids. 16. M. Renardy, Some remarks on the Nacier-Stokes equations with pressure dependent viscosity. Copyright ©1988 Rocky Mountain Mathematics Consortium
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17. D. Sather, Primary and secondary steady flows of the Taylor problem. 18. D. Saupe, On the domains of attraction for Newton's method. 19. D. Snow, A generalized Hamilton-Jacobi partial differential equation. 20. J. Ward, Bounded and almost-periodic solutions of semi-linear parabolic equations. 21. R. Weder, Absence of eigenvalues of the acoustic propagator in deformed wave guides. 22. O. Wohlrab, Computing parametric minimal surfaces with partially free boundaries.
The conference was attended by 45 scientists and financially supported by the Department of Mathematics of the University of Utah. At this place I wish to express my gratitude to Ms. Toni Bunker and Ms. Kathryn Ruth for their assistance in the organization of the conference. DEPARTMENT OF MATHEMATICS, UNIVERSITY OF UTAH, SALT LAKE CITY, UT
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