Global stability of symmetric and asymmetric concentration profiles in catalyst particles

DOI10.1007/BF00247639zbMath0318.35050MaRDI QIDQ1222296

D. G. Aronson, Lambertus A. Peletier

Publication date: 1974

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Heat equation (35K05) Diffusion and convection (76R99)

Related Items (11)

Regularity and asymptotic behavior for the second order parabolic equation with nonlinear boundary conditions ⋮ Stability of stationary solutions of extended reaction-diffusion- convection equations on a finite segment ⋮ A diffusion model for cell polarization with interactions on the membrane ⋮ On the sputtering of metals and insulators: A nonlinear evolution problem with nonlinear boundary condition ⋮ Quantitative maximum principles and strongly coupled gradient-like reaction-diffusion systems ⋮ Stabilization of concentration profiles in catalyst particles ⋮ A mathematical model on chemical interfacial reactions ⋮ Global attraction for the one-dimensional heat equation with nonlinear time-dependent boundary conditions ⋮ A model of porous catalyst accounting for incipiently non-isothermal effects ⋮ Reaction diffusion equations with nonlinear boundary conditions ⋮ Stability of local minima and stable nonconstant equilibria

Cites Work

• Stability of solutions of nonlinear diffusion problems
• Heat transfer between solids and gases under nonlinear boundary conditions
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