1st Edition

Partial Differential Equations Theory and Numerical Solution

    360 Pages
    by Chapman & Hall

    As a satellite conference of the 1998 International Mathematical Congress and part of the celebration of the 650th anniversary of Charles University, the Partial Differential Equations Theory and Numerical Solution conference was held in Prague in August, 1998. With its rich scientific program, the conference provided an opportunity for almost 200 participants to gather and discuss emerging directions and recent developments in partial differential equations (PDEs).
    This volume comprises the Proceedings of that conference. In it, leading specialists in partial differential equations, calculus of variations, and numerical analysis present up-to-date results, applications, and advances in numerical methods in their fields. Conference organizers chose the contributors to bring together the scientists best able to present a complex view of problems, starting from the modeling, passing through the mathematical treatment, and ending with numerical realization. The applications discussed include fluid dynamics, semiconductor technology, image analysis, motion analysis, and optimal control.
    The importance and quantity of research carried out around the world in this field makes it imperative for researchers, applied mathematicians, physicists and engineers to keep up with the latest developments. With its panel of international contributors and survey of the recent ramifications of theory, applications, and numerical methods, Partial Differential Equations: Theory and Numerical Solution provides a convenient means to that end.

    On the Global in Time Solvability of the Cauchy-Dirichlet Problem to Nondiagonal Parabolic Systems with Quadratic Nonlinearities, A.A. Arkhipova
    Boundary Element Solution of Scattering Problems Relative to a Generalized Impedance Boundary Condition, A. Bendali
    Mathematical Analysis of Phase-Field Equations with Gradient Coupling Term, M. Benes
    Qualitative Properties of Positive Solutions of Elliptic Equations, H. Berestycki
    Nonlinear Boundary Stabilization of the Wave Equation, R. Bey, J.-P. Lohéac, and M. Moussaoui
    Shape Derivative of Sharp Functionals Governed by Navier-Stokes Flow, S. Boisgérault and J.-P. Zolésio
    Second Order Shape Derivative for Hyperbolic PDEs, J. Cagnol and J.-P. Zolésio
    An Axiomatic Approach to image Interpolation, F. Cao, V. Caselles, J.-M. Morel, and C. Sbert
    A Class of Strong Resonant Problems via Lyapunov-Schmidt Reduction Method, J. Carmona
    Some Theoretical and Numerical Aspects of Grade-Two Fluid Models, D. Cioranescu, V. Girault, R. Glowinski, and L.R. Scott
    Large Asymptotic Behavior of Kolmogorov Equations in Hilbert Spaces, G. D a Prato
    On Existence Results for Fluids with Shear Dependent Viscosity-Unsteady Flows, J. Frehse, J. Målek, and M. Steinhauer
    Stability of Propagating Fronts in Damped Hyperbolic Equations, Th. Gallay and G. Raugel
    On the Equations of Melt-Spinning in Viscous Flow, T. Hagen and M. Renardy
    On Energy Estimates for Electro-Diffusion Equations Arising in Semiconductor Technology, Hünlich and A. Glitzky
    On the Boundary Conditions at the Contact Interface between Two Porous Media, Jäger and A. Mikelic
    On the Semistatic Limit for Maxwell's Equations, F. Jochmann
    Application of Relaxation Schemes and Method of Characteristics to Degenerate Convection-Diffusion Problems, J. Kacur
    Symmetrization-or How to Prove Symmetry of Solutions to a PDE, B. Kawohl
    A Bubble-Type Stabilization of the Q1/Q1-Element for Incompressible Flows, P. Knobloch and L. Tobiska
    Instability for Incompressible and Inviscid Fluids, H. Koch
    The Kuramoto-Sakaguchi Nonlinear Parabolic Integrodifferential Equation, M. Lavrentiev Jr., and R. Spigler
    Scattering of Acoustical and Electromagnetic Waves by Some Canonical Obstacles, E. Meister and A. Passow
    PDEs, Motion Analysis, and 3D Reconstruction from Movies, L. Moisan
    Steady Flow of Viscoelastic Fluid Past and Obstacle-Asymptotic Behavior of Solution, M. Pokorny
    Properties of Optimal Control Problems for Elliptic Equations, U. Raitums
    On the Galerkin Method for Semilinear Parabolic-Ordinary Systems, S. Sanfelici
    Modeling the Dynamic Contact Angle, B. Schweizer
    L1-Decay and the Stability of Shock Profiles, D. Serre
    On the Positive Solutions of the Equation DU +ƒ(*x*Up=0 in Rn, n>2, Tadie
    Singularity Formation for the Stepan Problem, J.J.L. Velåzquez
    On the Construction of Interior Spike Layer Solutions to a Singularly Perturbed Semilinear Neumann Problem, J. Wie


    J. Necas