IMA Journal of Applied Mathematics
Long-time solutions of scalar hyperbolic reaction equations incorporating relaxation and the Arrhenius combustion nonlinearity
We consider an initial-value problem based on a class of scalar nonlinear hyperbolic reaction–diffusion equations of the general form $$begin{align*} & u_{tautau}+u_{tau}=u_{{xx}}+varepsilon (F(u)+F(u)_{tau} ), end{align*}$$ in which ${x}…