Corner Boundary Layer in Boundary Value Problems for Singularly Perturbed Parabolic Equations with Monotonic Nonlinearity
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DOI: 10.1134/s0965542518040097
Abstract: AbstractA singularly perturbed parabolic equation $${\varepsilon ^2}\left( {{{\text{a}}^2}\frac{{{\partial ^2}u}}{{\partial {x^2}}} - \frac{{\partial u}}{{\partial t}}} \right) = F\left( {u,x,t,\varepsilon } \right)$$ε2(a2∂2u∂x2−∂u∂t)=F(u,x,t,ε) is considered in a rectangle with boundary conditions of the first kind. The function F… read more here.
Keywords: singularly perturbed; perturbed parabolic; layer boundary; boundary value ... See more keywords