Title

A Free Boundary Value Problem Related To The Combustion Of A Solid: Flux Boundary Conditions

Title - Alternative

Q. Appl. Math.

Keywords

Mathematics, Applied

Abstract

We demonstrate the existence, uniqueness, and continuous dependence upon the data for the solution (u, v, s) of the free boundary value problem: u(t) = alpha U-xx, v(t) = beta v(xx), 0 < x < s(t), 0 < t less than or equal to T, u(x, 0) = phi(x), v(x, 0) = psi(x), 0 less than or equal to x less than or equal to s(0) = b. -alpha u(x)(0, t) = f(t), -beta v(x)(0, t) = g(t), 0 < t less than or equal to T, alpha u(x)(s(t), t) = -(gamma + u(s(t), t))(s) over dot (t), beta v(x)(s(t), t) = (mu - v(s(t), t))(s) over dot (t), 0 < less than or equal to T, (s) over dot (t) = nu(v(s(t), t)) exp(-delta/v(s(t), t))F(u(s(t), t)), 0 < t < T, where alpha, beta, gamma, delta, and mu, are positive constants related to the physical constants.

Publication Title

Quarterly of Applied Mathematics

Volume

55

Issue/Number

4

Publication Date

1-1-1997

Document Type

Article

Language

English

First Page

687

Last Page

705

WOS Identifier

WOS:000071266600006

ISSN

0033-569X

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