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Advective estimates
Author(s) -
Lohéac JeanPierre
Publication year - 1990
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670130602
Subject(s) - mathematics , partial differential equation , advection , mathematical analysis , viscosity , function (biology) , space (punctuation) , mathematical physics , thermodynamics , physics , linguistics , philosophy , evolutionary biology , biology
Consider the partial differential equation: w t + bw + a · ∇ w = g in ℝ n × [0, T ] (x 1 <0) and if the function a 1 is positive, then, in the left half‐space, the solution w is an O (ν) for small Viscosity ν.