Author : John A. Nohel
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (227 download)
Book Synopsis Nonlinear Viscoelastic Materials with Fading Memory by : John A. Nohel
Download or read book Nonlinear Viscoelastic Materials with Fading Memory written by John A. Nohel and published by . This book was released on 1986 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: The equations governing the motion of viscoelastic materials with fading memory incorporate a nonlinear elastic-type response with a natural dissipative mechanical. Our purpose is to discuss the subtle effects of this mechanism in viscoelastic materials of Boltzmann type. Recent results on the global existence and decay of classical solutions for smooth and small data (in one space dimension) are reviewed for smooth and singular memory kernels; for smooth kernels a number of such results can be generalized to several space dimensions. A recent result on the development of singularities in finite time for large data is discussed; several open problems are formulated. A program for studying weak solutions for such systems, including the development of numerical algorithms, is outlined. Keywords: hyperbolic equations; Volterra equations.