Existence and Asymptotics of Fronts in Non Local Combustion Models
نویسنده
چکیده
We prove the existence and give the asymptotic behavior of non local fronts in homogeneous media.
منابع مشابه
Gasless Combustion Fronts with Heat Loss
For a model of gasless combustion with heat loss, we use geometric singular perturbation theory to show existence of traveling combustion fronts. We show that the fronts are nonlinearly stable in an appropriate sense if an Evans function criterion, which can be verified numerically, is satisfied. For a solid reactant and exothermicity parameter that is not too large, we verify numerically that ...
متن کاملOn the existence of high Lewis number combustion fronts
We study a mathematical model for high Lewis number combustion processes with the reaction rate of the form of an Arrhenius aw with or without an ignition cut-off. An efficient method for the proof of the existence and uniqueness of combustion fronts is rovided by geometric singular perturbation theory. The fronts supported by the model with very large Lewis numbers are small erturbations of th...
متن کاملNON-FRAGILE GUARANTEED COST CONTROL OF T-S FUZZY TIME-VARYING DELAY SYSTEMS WITH LOCAL BILINEAR MODELS
This paper focuses on the non-fragile guaranteed cost control problem for a class of T-S fuzzy time-varying delay systems with local bilinear models. The objective is to design a non-fragile guaranteed cost state feedback controller via the parallel distributed compensation (PDC) approach such that the closed-loop system is delay-dependent asymptotically stable and the closed-loop performance i...
متن کاملScaling and noise in slow combustion of paper
We present results of high resolution experiments on kinetic roughening of slow combustion fronts in paper, focusing on short length and time scales. Using three different grades of paper, we find that the combustion fronts show apparent spatial and temporal multiscaling at short scales. The scaling exponents decrease as a function of the order of the corresponding correlation functions. The no...
متن کاملSharp asymptotic growth laws of turbulent flame speeds in cellular flows by inviscid Hamilton-Jacobi models
We study the large time asymptotic speeds (turbulent flame speeds sT ) of the simplified Hamilton-Jacobi (HJ) models arising in turbulent combustion. One HJ model is G-equation describing the front motion law in the form of local normal velocity equal to a constant (laminar speed) plus the normal projection of fluid velocity. In level set formulation, G-equations are HJ equations with convex (L...
متن کامل