A Singularly Perturbed System of Parabolic Equations
نویسندگان
چکیده
The work is devoted to the construction of asymptotic behavior solution a singularly perturbed system equations parabolic type, in case when limit equation has regular singularity as small parameter tends zero. asymptotics such problems contains boundary layer functions.
منابع مشابه
Approximations for singularly perturbed parabolic equations of arbitrary order
Approximations for singularly perturbed parabolic equations @ v ( ; x) = " X jkj 2p Ak( ; x) @ k xv ( ; x); v(0; x) = '(x) (1) are studied over regions (0; T="] R. Time scaling reduces this equation to @tu (t; x) = X jkj 2p Ak(t="; x) @ k xu (t; x); u(0; x) = '(x) (2) on (0; T ] R. Under mild conditions, (2) has a C -valued solution whose arbitrary order x-derivatives are compared (as " & 0 on ...
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ژورنال
عنوان ژورنال: Lobachevskii Journal of Mathematics
سال: 2021
ISSN: ['1995-0802', '1818-9962']
DOI: https://doi.org/10.1134/s1995080222030155