In this volume are twenty-eight papers from the Conference on Nonlinear Partial Differential Equationsin Engineering and Applied Science, sponsored by the Office of Naval Research and held at the Universityof Rhode Island in June, 1979. Included are contributions from an international group of distinguishedmathematicians, scientists, and engineers coming from a wide variety of disciplines and having a commoninterest in the application of mathematics, particularly nonlinear partial differential equations, to realworld problems.The subject matter ranges from almost purely mathematical topics in numerical analysis and bifurcationtheory to a host of practical applications that involve nonlinear partial differential equations, suchas fluid dynamics, nonlinear waves, elasticity, viscoelasticity, hyperelasticity, solitons, metallurgy, shocklessairfoil design, quantum fields, and Darcy's law on flows in porous media.Non/inear Partial Differential Equations in Engineering and Applied Science focuses on a variety oftopics of specialized, contemporary concern to mathematicians, physical and biological scientists, andengineers who work with phenomena that can be described by nonlinear partial differential equations.

ContributorsIntroductionOn the Existence of Hydrostatic Pressure in Regular Finite Deformations of Incompressible Hyperelastic SolidsP. LeTallec and J.T. OdenRigidity and Nonlinear ElasticityRobert V. KohnElectrical Interactions Between Parallel Nerve Fibers: A Model and Some ResultsJohnathan BellUnstable Viscoelastic Fluid FlowsM. SlemrodIsolas And Perturbed Bifurcation TheoryHerbert B. KellerOn the Structure of the Errors Made in Mixed Finite Element MethodsGeorge J. FixSolutions of the Korteweg-Devries EquationAmy CohenA Three-Phase Free Boundary Problem Arising in Alloy SolidificationVasilios AlexiadesSpatial Decay for the Navier-Stokes EquationsAlan ElcratA Riemannian Metric For Partial Differential EquationsConstantin N. KockinosShockless Airfoils for Wings, Compressors, and TurbinesP.R. GarabedianSome Singularly Perturbed Nonlinear Boundary Value Problems of Elliptic TypeF.A. HowesThree-Dimensional Nonlinear Evolution of Water WavesW.H. HuiA Comparative Study of Numerical Schemes for the Solution of Two-Dimensional Advection FlowsJ. N. Reddy and J. D. WarburtonDecay of Solutions to the Korteweg De Vries-Burger Equation and to Parabolic Conservation LawsMaria Elena SchonbekSmall Amplitude stable Wavetrains in Reaction-Diffusion SystemsG.Bard ErmentroutA Singularity Theory Approach to Steady-State Bifurcation TheoryMartin Golubitsky and David SchaefferSymmetry Properties and Isolated Singularities of Positive Solutions of Nonlinear Elliptic EquationsBasilis GidasSome Results on a Reaction-Diffusion SystemMin Ming TangDiscretizing the Sine-Gordon Equation: Geometrical and group Theoretical AspectsSophocles J. OrfanidisAdvances in the Numerical Computation of Capillary-Gravity WavesJean-Marc Vanden-BroeckClassical and Quantum Dynamics of Integrable Nonlinear Field TheoriesA. Jevicki