Nonlinear Partial Differential Equations in Engineering and A... - 9781138417472

CRC Press

This book discusses problems in fluid dynamics and nonlinear waves, questions concerning Korteweg-de Vries equations and solitons, and problems in mathematical biology. It establishes conditions for the existence of hydrostatic pressures in a class of hyperelastic incompressible materials. > This book discusses problems in fluid dynamics and nonlinear waves, questions concerning Korteweg-de Vries equations and solitons, and problems in mathematical biology. It establishes conditions for the existence of hydrostatic pressures in a class of hyperelastic incompressible materials. > 1. On the Existence of Hydrostatic Pressure in Regular Finite Deformations of Incompressible Hyperelastic Solids 2. Rigidity and Nonlinear Elasticity 3. Electrical Interactions Between Parallel Nerve Fibers: A Model and Some Results 4. Unstable Viscoelastic Fluid Flows 5. Isolas and Perturbed Bifurcation Theory 6. On the Structure of the Errors Made in Mixed Finite Element Methods 7. Solutions of the Koy