Solving the multidimensional problem of site-origin thermal explosion by the perturbation method (Q2475554)

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Solving the multidimensional problem of site-origin thermal explosion by the perturbation method
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    Solving the multidimensional problem of site-origin thermal explosion by the perturbation method (English)
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    11 March 2008
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    A solution to a nonlinear Cauchy problem is presented as a solution to the corresponding nonlinear integral equation. An approximate solution to the nonlinear integral equation is obtained by geometro-optical asymptotic method, which presents a particular case of the perturbation method. An approximate analytic solution is given by Poincaré asymptotics. A parametrical analysis is performed.
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    thermal explosion
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    Cauchy problem
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    nonlinear integral equation
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    perturbation method
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