## Abstract In this paper we consider initial‐boundary value problems for systems with a small parameter ϵ. The problems are mixed hyperbolic–parabolic when ϵ > 0 and hyperbolic when ϵ = 0. Often the solution can be expanded asymptotically in ϵ and to first approximation it consists of the solution
✦ LIBER ✦
Asymptotic expansions for parabolic systems
✍ Scribed by Zeev Schuss
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 885 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0022-247X
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## Abstract We study asymptotics as __t__ → ∞ of solutions to a linear, parabolic system of equations with time‐dependent coefficients in Ω × (0, ∞), where Ω is a bounded domain. On __∂__ Ω × (0, ∞) we prescribe the homogeneous Dirichlet boundary condition. For large values of __t__, the coefficien