Step-type contrast structures

Construction of an Asymptotic Expansion for the Parabolic Problem Other Problems with Corner Boundary Layers Nonisothermal Fast Chemical Reactions Contrast Structures in Partial Differential Equations A. Step-Type Solutions in the Noncritical Case Step-Type Solutions in the Critical Case Spike-Type Solutions Applications... 

Thus we see that these solutions have not only boundary layers, but also interior layers. Solutions having such interior layers are called contrast structures. A contrast structure of the type represented in Fig. 8 is called a spike, and a contrast structure of the type represented in Fig. 9 is called a step (or threshold). 

When ( is small, v and v are small too, and our calculations are correct. 3. A contrast structure of step-type may arise in the system [15]... 

Contrast structures of step type and spike t) pe were considered in Section V for ordinary differential equations. In this section, we construct asymptotics for step-type and spike-type solutions of partial differential equations. 

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