Rigorous analysis and estimates of S–shaped bifurcation curves in a combustion problem with general Arrhenius reaction–rate laws
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Publication:4223948
DOI10.1098/rspa.1998.0195zbMath0917.34028OpenAlexW2066947701MaRDI QIDQ4223948
Publication date: 6 January 1999
Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.1998.0195
solutionsbifurcationcombustion problemFrank-Kamenetskii transition valueArrhenius reaction-rate laws
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Stability and instability of solutions of semilinear problems ⋮ Bifurcation curves in a combustion problem with general Arrhenius reaction-rate laws ⋮ A new Bihari inequality and initial value problems of first order fractional differential equations ⋮ The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions ⋮ Uniqueness of nonzero positive solutions of Laplacian elliptic equations arising in combustion theory ⋮ Unnamed Item ⋮ S-shaped bifurcation curves for a combustion problem with general Arrhenius reaction-rate laws ⋮ Multiplicity and uniqueness of positive solutions for elliptic equations with nonlinear boundary conditions arising in a theory of thermal explosion ⋮ Exact multiplicity of solutions and S-shaped bifurcation curves for the \(p\)-Laplacian perturbed Gelfand problem in one space variable ⋮ A theorem on reversed S-shaped bifurcation curves for a class of boundary value problems and its application ⋮ On \(S\)-shaped bifurcation curves for a class of perturbed semilinear equations
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