On the stability of bifurcation branches in thermal ignition. (English) Zbl 0546.65085
Summary: A method is given to determine the stability of stationary solutions of the thermal ignition equation for the case of n-dimensional spherical symmetry, together with the number of unstable modes. For sufficiently high temperature and activation temperature this number is arbitrarily large. Some numerical results on the solutions and their stability are reported.
MSC:
| 65Z05 | Applications to the sciences |
| 80A25 | Combustion |
| 35J65 | Nonlinear boundary value problems for linear elliptic equations |
Keywords:
bifurcation branches; stability of stationary solutions; thermal ignition equation; spherical symmetry; numerical resultsReferences:
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