Partial Differential Equations: Theory and Numerical Solution, 1st Edition (Paperback) book cover

Partial Differential Equations

Theory and Numerical Solution, 1st Edition

By J. Necas, Willi Jager, Jana Stara, Oldrich John, Karel Najzar

Chapman and Hall/CRC

360 pages

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pub: 1999-07-23
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Description

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.

Table of Contents

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

About the Series

Chapman & Hall/CRC Research Notes in Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT003000
MATHEMATICS / Applied
MAT007000
MATHEMATICS / Differential Equations
MAT021000
MATHEMATICS / Number Systems