A Comparison Theorem for a Nonlinear system Arising in Porous Medium Combustion |
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| Authors: | Eduard Feireisl John Norbury |
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| Institution: | The Mathematical Institute , Oxford University , 24-29 St Giles, Oxford, OX13LB, Oxon |
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| Abstract: | Comparison theorems for the initial value finite domain one dimensional heat equation with a discontinuous forcing term are extended to a coupled system of a heat equation and an ordinary differential equation in space, rather than the usual ordinary differential equation in time, that arises in combustion theory. |
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| Keywords: | Coupled hyperbolic/parabolic differential equations discontinuous nonlinearity comparison theory |
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