Introduction to Nonlinear Partial Differential Equations

ISBN-10: 0470225955

ISBN-13: 9780470225950

Edition: 2nd 2008

Authors: J. David Logan
List price: $149.00 Buy it from $79.99
This item qualifies for FREE shipping

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

30 day, 100% satisfaction guarantee

If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.

Learn more about our returns policy

Description: This introductory textbook on nonlinear partial differential equations is technique oriented with an emphasis on applications and is designed to build a foundation for studying advanced treatises in the field. The Second Edition features an updated bibliography as well as an increase in the number of exercises. All software references have been updated with the latest version of MATLABr, the the corresponding graphics have also been updated using MATLABr. An increased focus on hydrogeology and mathematical biology is evident in the new edition. Hints and solutions to selected exercises have been added to the back of the book. The book emphasizes hyperbolic and parabolic problems and includes a range of applications in the following areas: biology, chemistry, porous media, biological problems, combustion and detonation, traffic flow, water waves, plug flow reactors, and heat transfer. Early chapters offer insight into how to understand problems involving phenomena, how specific equations describe evolutionary processes, and what the terms in such equations describe physically. When discussing wave propagination and hyperbolic problems, the text develops algorithms to solve first-order equations and highlights the concept of the weak solution. The material in the book is presented in such a manner that many of the chapters are independent, which allows for instructors flexibility to design several courses around various topics.

New Starting from $151.16
what's this?
Rush Rewards U
Members Receive:
coins
coins
You have reached 400 XP and carrot coins. That is the daily max!

Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Add to cart
Study Briefs
Calculus 1 Online content $4.95 $1.99
Add to cart
Study Briefs
Business Ethics Online content $4.95 $1.99
Add to cart
Study Briefs
Business Law Online content $4.95 $1.99

Customers also bought

Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading

Book details

List price: $149.00
Edition: 2nd
Copyright year: 2008
Publisher: John Wiley & Sons, Incorporated
Publication date: 4/11/2008
Binding: Hardcover
Pages: 398
Size: 6.25" wide x 9.25" long x 1.00" tall
Weight: 1.584

Preface
Introduction to Partial Differential Equations
Partial Differential Equations
Equations and Solutions
Classification
Linear versus Nonlinear
Linear Equations
Conservation Laws
One Dimension
Higher Dimensions
Constitutive Relations
Initial and Boundary Value Problems
Waves
Traveling Waves
Plane Waves
Plane Waves and Transforms
Nonlinear Dispersion
First-Order Equations and Characteristics
Linear First-Order Equations
Advection Equation
Variable Coefficients
Nonlinear Equations
Quasilinear Equations
The General Solution
Propagation of Singularities
General First-Order Equation
Complete Integral
A Uniqueness Result
Models in Biology
Age Structure
Structured Predator-Prey Model
Chemotherapy
Mass Structure
Size-Dependent Predation
Weak Solutions to Hyperbolic Equations
Discontinuous Solutions
Jump Conditions
Rarefaction Waves
Shock Propagation
Shock Formation
Applications
Traffic Flow
Plug Flow Chemical Reactors
Weak Solutions: A Formal Approach
Asymptotic Behavior of Shocks
Equal-Area Principle
Shock Fitting
Asymptotic Behavior
Hyperbolic Systems
Shallow-Water Waves; Gas Dynamics
Shallow-Water Waves
Small-Amplitude Approximation
Gas Dynamics
Hyperbolic Systems and Characteristics
Classification
The Riemann Method
Jump Conditions for Systems
Breaking Dam Problem
Receding Wall Problem
Formation of a Bore
Gas Dynamics
Hodographs and Wavefronts
Hodograph Transformation
Wavefront Expansions
Weakly Nonlinear Approximations
Derivation of Burgers' Equation
Diffusion Processes
Diffusion and Random Motion
Similarity Methods
Nonlinear Diffusion Models
Reaction-Diffusion; Fisher's Equation
Traveling Wave Solutions
Perturbation Solution
Stability of Traveling Waves
Nagumo's Equation
Advection-Diffusion; Burgers' Equation
Traveling Wave Solution
Initial Value Problem
Asymptotic Solution to Burgers' Equation
Evolution of a Point Source
Dynamical Systems
Reaction-Diffusion Systems
Reaction-Diffusion Models
Predator-Prey Model
Combustion
Chemotaxis
Traveling Wave Solutions
Model for the Spread of a Disease
Contaminant Transport in Groundwater
Existence of Solutions
Fixed-Point Iteration
Semilinear Equations
Normed Linear Spaces
General Existence Theorem
Maximum Principles and Comparison Theorems
Maximum Principles
Comparison Theorems
Energy Estimates and Asymptotic Behavior
Calculus Inequalities
Energy Estimates
Invariant Sets
Pattern Formation
Equilibrium Models
Elliptic Models
Theoretical Results
Maximum Principle
Existence Theorem
Eigenvalue Problems
Linear Eigenvalue Problems
Nonlinear Eigenvalue Problems
Stability and Bifurcation
Ordinary Differential Equations
Partial Differential Equations
References
Index
×
Free shipping on orders over $35*

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

Learn more about the TextbookRush Marketplace.

×