2022/05/05 by Qingxia Li, Li, Qingxia, Xinyao Yang +1
Chemistry · Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Applied mathematics #Chemistry #Class (philosophy) #Complement (music) #Computer science #Diffusion #Exponential stability #Intersection (aeronautics) #Mathematical analysis #Mathematics #Nonlinear Partial Differential Equations #Nonlinear system #Physical chemistry #Physics #Pure mathematics #Quantum mechanics #Reaction–diffusion system #Sobolev space #Space (punctuation) #Stability (learning theory) #Stability and Controllability of Differential Equations #Stability theory #State (computer science) #State space #Statistical physics #Statistics #Steady state (chemistry) #Thermodynamics
paper · pdf · doi:10.48550/arxiv.2205.02566
openalex publication_date 2022/05/05 · openalex created_date 2022/05/08 · openalex updated_date 2026/08/05
We prove that the steady state of a class of multidimensional reaction-diffusion systems is asymptotically stable at the intersection of unweighted space and exponentially weighted Sobolev spaces, and pay particular attention to a special case, namely, systems of equations that arise in combustion theory. The steady-state solutions considered here are the end states of the traveling fronts associated with the systems, and thus the present results complement recent papers \citeGLS1, GLS2, GLS3, GLSR, GLY that study the stability of traveling fronts.