Advances in Differential Equations

Traveling waves in a simplified gas-solid combustion model in porous media

Fatih Ozbag, Stephen Schecter, and Grigori Chapiro

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We study the combustion waves that occur when air is injected into a porous medium containing initially some solid fuel and prove the existence of traveling waves using phase plane analysis. We also identify all the possible ways that combustion waves and contact discontinuities can combine to produce wave sequences that solve boundary value problems on infinite intervals with generic constant boundary data.

Article information

Adv. Differential Equations, Volume 23, Number 5/6 (2018), 409-454.

First available in Project Euclid: 23 January 2018

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35L67: Shocks and singularities [See also 58Kxx, 76L05] 35C07: Traveling wave solutions 35K57: Reaction-diffusion equations 34C37: Homoclinic and heteroclinic solutions 80A25: Combustion 76S05: Flows in porous media; filtration; seepage


Ozbag, Fatih; Schecter, Stephen; Chapiro, Grigori. Traveling waves in a simplified gas-solid combustion model in porous media. Adv. Differential Equations 23 (2018), no. 5/6, 409--454.

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