Partial Differential Equations: Theory and Numerical Solution

by Necas; J.

• ISBN13: 9781584880226
• ISBN10: 1584880228
• eBook ISBN(s): 9781351425865
• Edition: 1st
• Format: Nonspecific Binding
• Copyright: 1999-07-23
• Publisher: Chapman & Hall/
• More Book Details

Summary

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

Preface
On the Global in Time Solvability of the Cauchy-Dirichlet Problem to Nondiagonal Parabolic Systems with Quadratic Nonlinearities	1	(9)
Arkhipova A. A.
Boundary Element Solution of Scattering Problems Relative to a Generalized Impedance Boundary Condition	10	(15)
Bendali A.
Mathematical Analysis of Phase-Field Equations with Gradient Coupling Term	25	(9)
Benes M.
Qualitative Properties of positive Solutions of Elliptic Equations	34	(11)
Berestycki H.
Nonlinear Boundary Stabilization of the Wave Equation	45	(4)
Bey R.
Loheac J.-P.
Moussaoui M.
Shape Derivative of Sharp Functionals Governed by Navier-Stokes Flow	49	(15)
Boisgerault S.
Zolesio J.-P.
Second-Order Shape Derivative for hyperbolic PDEs	64	(10)
Cagnol J.
Zolesio J.-P.
An Axiomatic Approach to Image Interpolation	74	(15)
Cao F.
Caselles V
Morel J.-M.
Sbert C
A Class of Strong Resonant problems via Lyapunov-Schmidt Reduction Method	89	(10)
Carmona J.
Some Theoretical and Numerical Aspects of Grade-Two Fluid Models	99	(12)
Cioranescu D.
Girault V
Glowinski R.
Scott L.R.
Large Asymptotic Behaviour of Kolmogorov Equations in Hilbert Spaces	111	(10)
Da Prato G.
On Existence Results for Fluids with Shear Dependent Viscosity - Unsteady Flows	121	(9)
Frehse J.
malek J.
Steinhauer M.
Stability of Propagating Fronts in Damped Hyperbolic Equations	130	(17)
Gallay Th.
Raugel G.
On the Equations of melt-Spinning in Viscous Flow	147	(11)
Hagen T.
Renardy M.
On Energy Estimates for Electro-Diffusion Equations Arising in Semiconductor Technology	158	(17)
Hunlich R.
Glitzky A.
On the Boundary conditions at the Contact Interface between Two Porous Media	175	(12)
Jager W.
Mikelic A.
On the Semistatic Limit for Maxwell's Equations	187	(12)
Jochmann F.
Application of Relaxation Schemes and Method of Characteristics to Degenerate Convection-Diffusion Problems	199	(15)
Kacur J.
Symmetrization - or How to prove Symmetry of Solutions to a PDE	214	(16)
Kawohl B.
A Bubble-Type Stabilization of the Q1/Q1-Element for Incompressible Flows	230	(10)
Knobloch P.
Tobiska L.
Instability for Incompressible and Inviscid Fluids	240	(8)
Koch H.
The Kuramoto-Sakaguchi Nonlinear Parabolic Integrodifferential Equation	248	(6)
Laurentiev M. Jr.
Spigler R.
Scattering of Acoustical and electromagnetic Waves by some Canonical Obstacles	254	(19)
Meister E.
Passow A.
PDEs, Motion Analysis and 3D Reconstruction form Movies	273	(10)
Moisan L.
Steady Flow of Viscoelastic Fluid Past on Obstacle - Asymptotic Behavior of solutions	283	(7)
Pokorny M.
Properties of Optimal Control Problems for Elliptic Equations	290	(8)
Raitums U.
On the Galerkin Method for Semilinear Parabolic-Ordinary Systems	298	(11)
Sanfelici S.
Modelling the Dynamic Contact Angle	309	(3)
Schweizer B.
L1-decay and the stability of Shock Profiles	312	(10)
Serre D.
On Positive Solutions of the Equation δU + f(|x|)Up = 0 in Rn, n<2	322	(7)
Tadie
Singularity Formation for the Stefan problem	329	(7)
Velazquez J.J.L.
On the Construction of Interior Spike Layer solutions to a Singularly Perturbed Semilinear Neumann Problem	336
Wei J.