Title
A Free Boundary Value Problem Related To The Combustion Of A Solid: Flux Boundary Conditions
Abbreviated Journal Title
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.
Journal 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
ISSN
0033-569X
Recommended Citation
"A Free Boundary Value Problem Related To The Combustion Of A Solid: Flux Boundary Conditions" (1997). Faculty Bibliography 1990s. 800.
https://stars.library.ucf.edu/facultybib1990/800
Comments
Authors: contact us about adding a copy of your work at STARS@ucf.edu