Total blow-up versus single point blow-up
Copyright policy )Total blow-up versus single point blow-up
The authors study blow-up of non negative solutions to a quasilinear parabolic equation describing the temperature perturbation during the ignition process of a reactive gas in a spherical container. The equation is of the form \(u_ t-\Delta u=f(u)+g(t),\) and is supplemented with zero Dirichlet boundary conditions and with a non negative initial datum which is radially symmetric and radially decreasing. The authors assume f to be differentiable and non negative for non negative arguments; g is either a non negative given function of time, or K times the space average of \(u_ t\), with \(0
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, Asymptotic behavior of solutions to PDEs, radially symmetric, smallness of the parameter, Combustion, radially decreasing, non negative solutions, quasilinear, Dirichlet boundary conditions, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Stability in context of PDEs, temperature perturbation, blow-up, reactive gas, initial datum, Analysis, ignition process
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, Asymptotic behavior of solutions to PDEs, radially symmetric, smallness of the parameter, Combustion, radially decreasing, non negative solutions, quasilinear, Dirichlet boundary conditions, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Stability in context of PDEs, temperature perturbation, blow-up, reactive gas, initial datum, Analysis, ignition process
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).56 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!