The Nonlinear Diffusion Equation

Chapter 1 Introduction

Chapter 2 The Hopf-Cole Solution of the Nonlinear Diffusion Equation and Its Geometrical Interpretation for the Case of Small Diffusivity

Chapter 3 Digression on Generalizations of the Geometric Method of Solution. — Solutions of Equation (1.1) for the Domain x > 0 with a Boundary Condition at x = 0

Chapter 4 Statistical Problems Connected with the Solutions of Chapter I, for v →+0 and t →∞

Chapter 5 Solutions of the Linear Diffusion Equation with a Boundary Condition Referring to a Parabola

Chapter 6 Development of the Functions Ψ, E, F in Terms of Exponentials Multiplied By Bessel Functions

Chapter 7 Evaluation of Integrals and Sums Depending on the Functions ѱ, E, F

Chapter 8 Mean Values Connected with the Sawtooth Curve of Figure 5

Chapter 9 Distribution Functions Referring to Sets of Two Consecutive Arcs

Chapter 10 Correlation Functions and Distribution Functions Referring to Sets of More Than Two Consecutive Arcs