On the stability of bifurcation branches in thermal ignition

DOI10.1007/BF00944882zbMath0546.65085MaRDI QIDQ797983

Wolfgang Börsch-Supan

Publication date: 1984

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

numerical resultsspherical symmetrystability of stationary solutionsbifurcation branchesthermal ignition equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Combustion (80A25) Applications to the sciences (65Z05)

Related Items (3)

Counting the number of solutions in combustion and reactive flow problems ⋮ Stability of stationary solutions of a one-dimensional parabolic equation with homogeneous Neumann boundary conditions ⋮ Certain Aspects of Problems with Non Homogeneous Reactions

Cites Work

• Unnamed Item
• Exact solutions and ignition parameters in the Arrhenius conduction theory of gaseous thermal explosion
• Exact bounds for the solution branches of nonlinear eigenvalue problems
• Quasilinear Dirichlet problems driven by positive sources
• Half‐stable solution branches for ordinary bifurcation problems
• Some problems in the theory of quasilinear equations

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