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Two‐Dimensional Advection‐Diffusion Equations with Constant Limiting Solutions
Author(s) -
Howes F. A.
Publication year - 1990
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1990823245
Subject(s) - vorticity , constant (computer programming) , limiting , advection , mathematics , mathematical analysis , reynolds number , diffusion , stream function , function (biology) , physics , mechanics , vortex , turbulence , thermodynamics , mechanical engineering , evolutionary biology , biology , computer science , engineering , programming language
We study the asymptotic behavior of solutions of two‐component systems of equations in two dimensions that are related to the steady streamfunction‐vorticity equations for large values of the Reynolds number. In particular, we determine the value of the constant limiting “vorticity” under certain circumstances.