Titlebook: Mathematical Problems from Combustion Theory; Jerrold Bebernes,David Eberly Textbook 1989 Springer Science+Business Media New York 1989 IT

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Textbook 1989ics held at Ravello, Italy, in 1984 and was further refined in seminars and lectures given primarily at the University of Colorado. The material presented is the product of a single mathematical question raised by Dave Kassoy over ten years ago. This question and its partial resolution led to a succ

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Introduction,ow is described by a highly nonlinear, extremely complex, degenerate, quasilinear parabolic system of partial differential equations. The problem of well-posedness for (1.1) has not been completely resolved [KZH2], [MAT].

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Mathematical Problems from Combustion Theory978-1-4612-4546-9Series ISSN 0066-5452 Series E-ISSN 2196-968X

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The Rigid Ignition Model,We wish to analyze indepth the solid fuel ignition model (1.28-)(1.29).and its relationship to the steady-state model (1.30)-(1.31)

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The Complete Model for Solid Fuel,In this chapter we discuss comparison techniques, invariant sets, and existence results related to invariance. Our main application is the complete solid fuel model (1.24)-(1.25):.with initial-boundary conditions .where β ≥ 0, Γ > 0, and δ > 0. We prove there is a solution (., .) for all (., .) ∈ Ω × (0, ∞) such that .(., .) → 0 as . → ∞.

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