Title: Nonlinear Boundary Value Problems for the Circular Membrane Classic Reprint
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 1332169562
ISBN 13: 9781332169566
Binding: PAP
Condition: New
Weight: 132 grams

About this title

Synopsis

Existence and uniqueness for circular membranes under pressure, with a practical shooting method

This nontechnical overview explains how researchers prove when a circular membrane, modeled by the F�ppl membrane theory, has a unique axisymmetric deformation under normal pressure. It also shows how the shooting method is used to find solutions and, in a related case, to obtain a numerical result for a fixed edge with uniform pressure.

Readers will see how a nonlinear boundary value problem is set up for a circular membrane, how the edge conditions change the problem, and why standard theorems don’t directly apply. The discussion stays focused on the core ideas: formulating the problem, establishing key properties of the initial-value problem, and applying a constructive shooting approach to demonstrate existence and uniqueness.

Understand the basic setup of a circular membrane under pressure and the role of axisymmetry.
Learn about boundary conditions for a fixed edge vs. a free edge and how they affect solutions.
See how the shooting method provides a practical path to existence results and numerical solutions.
Get a sense of how nonlinear membrane equations are analyzed when standard theorems don’t apply.

Ideal for readers of applied mathematics and engineering who want a clear, concrete view of how existence and uniqueness are established in nonlinear boundary value problems, and how these ideas translate into numerical practice.

"About this title" may belong to another edition of this title.

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