Applied Nonlinear Analysis

Overview

This book gives up to date information on a variety of topics within the field of applied nonlinear analysis. With contributions from a number of world-wide authorities, it includes articles on Navier-Stokes equations, nonlinear elasticity, non-Newtonian fluids, regularity of solutions of parabolic and elliptic equations, operator theory and numerical methods.

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Overview

This book gives up to date information on a variety of topics within the field of applied nonlinear analysis. With contributions from a number of world-wide authorities, it includes articles on Navier-Stokes equations, nonlinear elasticity, non-Newtonian fluids, regularity of solutions of parabolic and elliptic equations, operator theory and numerical methods.

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Product Details

  • ISBN-13: 9781475782547
  • Publisher: Springer US
  • Publication date: 12/31/2013
  • Edition description: Softcover reprint of the original 1st ed. 2002
  • Pages: 548
  • Product dimensions: 7.00 (w) x 10.00 (h) x 1.17 (d)

Table of Contents

On the regularity and decay of the weak solutions to the steady-state Navier-Stokes equations in exterior domains; F. Alliot, C. Amrouche. A note on turbulence modeling; G.Q. Chen, et al. L2,lambda - regularity for nonlinear elliptic systems of second order; J. Danec, E. Viszus. On the Fredholm alternative for nonlinear homogeneous operators; P. Drábek. Existence of solutions to a nonlinear coupled thermo-viscoelastic contact problem with small Coulomb friction; C. Eck, J. Jarusek. On some global existence theorems for a semilinear parabolic problem; Y.V. Egorov, V.A. Kondratiev. Bifurcation of solutions to reaction-diffusion systems with jumping nonlinearities; J. Eisner, M. Kucera. Coupled problems for viscous incompressible flow in exterior domains; M. Feistauer, C. Schwab. Remarks on the determinant in nonlinear elasticity and fracture mechanics; I. Fonseca, J. Malý. On modelling of Czochralski flow, the case of non plane free surface; J. Francû. Symmetric stationary solutions to the plane exterior Navier-Stokes problem for arbitrary large Reynolds number; G.P. Galdi. A fictitious-domain method with distributed multiplier for the Stokes problem; V. Girault, et al. Reliable solution of a unilateral contact problem with friction, considering uncertain input data; I. Hlavácek. Domain decomposition algorithm for computer aided design; F. Hecht, et al. Solution of convection-diffusion problems with the memory terms; J. Kacur. On global existence of smooth two-dimensional steady flows for a class of non-Newtonian fluids under various boundary conditions; P. Kaplický, et al. Viscosity solutions for degenerate and nonmonotone elliptic equations; B. Kawohl, N. Kutev. Remarks on compactness in the formationof fine structures; P. Klouček. Finite element analysis of a nonlinear elliptic problem with a pure radiation condition; M. Křížek, et al. Estimates of three-dimensional Oseen kernels in weighted Lp spaces; S. Kračmar, et al. Hardy's inequality and spectral problems of nonlinear operators; A. Kufner. Remarks on the regularity of solutions of elliptic systems; S. Leonardi. Singular perturbations in optimal control problem; J. Lovíšek. Optimization of steady flows for incompressible viscous fluids; J. Málek, T. Roubíček. Asymptotic behaviour of compressible Maxwell fluids in exterior domains; Š. Matušů-Nečasová, et al. Regularity of a suitable weak solution to the Navier-Stokes equations as a consequence of regularity of one velocity component, J. Neustupa, P. Penel. On a class of high resolution methods for solving hyperbolic conservation laws with source terms; P. de Oliveira, J. Santos. On the decay to zero of the L2-norms of perturbations to a viscous compressible fluid motion exterior to a compact obstacle; M. Padula. Global behavior of compressible fluid with a free boundary and large data; P. Penel, I. Straškraba. A geometric approach to dynamical systems in IRn; R. Rautmann. On a three-dimensional convective Stefan problem for a non-Newtonian fluid; J.F. Rodrigues, J.M. Urbano. Replacing h by h2; M. Rokyta. Flow of shear dependent electrorheological fluids: unsteady space periodic case; M. Růžička. On decay of solutions to the Navier-Stokes equations; M.E. Schonbek. Convexity conditions for rotationally

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