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The Nonlinear Diffusion Equation

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Cover of 'The Nonlinear Diffusion Equation'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 The Hopf-Cole Solution of the Nonlinear Diffusion Equation and Its Geometrical Interpretation for the Case of Small Diffusivity
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    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
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    Chapter 4 Statistical Problems Connected with the Solutions of Chapter I, for v →+0 and t →∞
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    Chapter 5 Solutions of the Linear Diffusion Equation with a Boundary Condition Referring to a Parabola
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    Chapter 6 Development of the Functions Ψ, E, F in Terms of Exponentials Multiplied By Bessel Functions
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    Chapter 7 Evaluation of Integrals and Sums Depending on the Functions ѱ, E, F
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    Chapter 8 Mean Values Connected with the Sawtooth Curve of Figure 5
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    Chapter 9 Distribution Functions Referring to Sets of Two Consecutive Arcs
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    Chapter 10 Correlation Functions and Distribution Functions Referring to Sets of More Than Two Consecutive Arcs
Attention for 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
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