6533b856fe1ef96bd12b248b

RESEARCH PRODUCT

On the stability of bifurcation branches in thermal ignition

W. Börsch-supan

subject

PhysicsArbitrarily largeClassical mechanicsApplied MathematicsGeneral MathematicsActivation temperatureGeneral Physics and AstronomyCircular symmetryMechanicsStationary solutionStability (probability)Thermal ignitionBifurcation

description

A method is given to determine the stability of stationary solutions of the thermal ignition equation for the case ofn-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.

https://doi.org/10.1007/bf00944882