This volume comprises the Proceedings of a satellite conference of the 1998 International Mathematical Congress, presenting up-to-date results, applications, and advances in numerical methods. The contributions 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.
This volume comprises the Proceedings of a satellite conference of the 1998 International Mathematical Congress, presenting up-to-date results, applications, and advances in numerical methods. The contributions 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.
On the Global in Time Solvability of the Cauchy-Dirichlet Problem to Nondiagonal Parabolic Systems with Quadratic Nonlinearities Boundary Element Solution of Scattering Problems Relative to a Generalized Impedance Boundary Condition Mathematical Analysis of Phase-Field Equations with Gradient Coupling Term Qualitative Properties of Positive Solutions of Elliptic Equations. Nonlinear Boundary Stabilization of the Wave Equation Shape Derivative of Sharp Functionals Governed by Navier-Stokes Flow Second-Order Shape Derivative for Hyperbolic PDEs An Axiomatic Approach to Image Interpolation A Class of Strong Resonant Problems via Lyapunov-Schmidt Reduction Method Some Theoretical and Numerical Aspects of Grade-Two Fluid Models Large Asymptotic Behaviour of Kolmogorov Equations in Hilbert Spaces On Existence Results for Fluids with Shear Dependent Viscosity - Unsteady Flows Stability of Propagating Fronts in Damped Hyperbolic Equations On the Equations of Melt-Spinning in Viscous Flow On Energy Estimates for Electro-Diffusion Equations Arising in Semiconductor Technology On the Boundary Conditions at the Contact Interface between Two Porous Media On the Semistatic Limit for Maxwell's Equations Application of Relaxation Schemes and Method of Characteristics to Degenerate Convection-Diffusion Problems Symmetrization or How to Prove Symmetry of Solutions to a PDE A Bubble-Type Stabilization of the Q1/Q1 - Element for Incompressible Flows Instability for Incompressible and Inviscid Fluids The Kuramoto-Sakaguchi Nonlinear Parabolic Integrodifferential Equation Scattering of Acoustical and Electromagnetic Waves by Some Canonical Obstacles PDEs Motion Analysis and 3D Reconstruction from Movies Steady Flow of Viscoelastic Fluid Past an Obstacle - Asymptotic Behaviour of Solutions Properties of Optimal Control Problems for Elliptic Equations On the Galerkin Method for Semilinear Parabolic-Ordinary Systems Modelling the Dynamic Contact Angle L1-decay and the Stability of Shock Profiles On Positive Solutions of the Equation ?U + f( x )UP = 0 in Rn n > 2 Singularity Formation for the Stefan Problem On the Construction of Interior Spike Layer Solutions to a Singularly Perturbed Semilinear Neumann Problem
On the Global in Time Solvability of the Cauchy-Dirichlet Problem to Nondiagonal Parabolic Systems with Quadratic Nonlinearities Boundary Element Solution of Scattering Problems Relative to a Generalized Impedance Boundary Condition Mathematical Analysis of Phase-Field Equations with Gradient Coupling Term Qualitative Properties of Positive Solutions of Elliptic Equations. Nonlinear Boundary Stabilization of the Wave Equation Shape Derivative of Sharp Functionals Governed by Navier-Stokes Flow Second-Order Shape Derivative for Hyperbolic PDEs An Axiomatic Approach to Image Interpolation A Class of Strong Resonant Problems via Lyapunov-Schmidt Reduction Method Some Theoretical and Numerical Aspects of Grade-Two Fluid Models Large Asymptotic Behaviour of Kolmogorov Equations in Hilbert Spaces On Existence Results for Fluids with Shear Dependent Viscosity - Unsteady Flows Stability of Propagating Fronts in Damped Hyperbolic Equations On the Equations of Melt-Spinning in Viscous Flow On Energy Estimates for Electro-Diffusion Equations Arising in Semiconductor Technology On the Boundary Conditions at the Contact Interface between Two Porous Media On the Semistatic Limit for Maxwell's Equations Application of Relaxation Schemes and Method of Characteristics to Degenerate Convection-Diffusion Problems Symmetrization or How to Prove Symmetry of Solutions to a PDE A Bubble-Type Stabilization of the Q1/Q1 - Element for Incompressible Flows Instability for Incompressible and Inviscid Fluids The Kuramoto-Sakaguchi Nonlinear Parabolic Integrodifferential Equation Scattering of Acoustical and Electromagnetic Waves by Some Canonical Obstacles PDEs Motion Analysis and 3D Reconstruction from Movies Steady Flow of Viscoelastic Fluid Past an Obstacle - Asymptotic Behaviour of Solutions Properties of Optimal Control Problems for Elliptic Equations On the Galerkin Method for Semilinear Parabolic-Ordinary Systems Modelling the Dynamic Contact Angle L1-decay and the Stability of Shock Profiles On Positive Solutions of the Equation ?U + f( x )UP = 0 in Rn n > 2 Singularity Formation for the Stefan Problem On the Construction of Interior Spike Layer Solutions to a Singularly Perturbed Semilinear Neumann Problem
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