Exponentially slow traveling waves on a finite interval for Burgers' type equation
In this paper we study for small positive $epsilon$ the slow motion of the solution for evolution equations of Burgers' type with small diffusion, $$ u_t=epsilon u_{xx}+f(u),u_x,, quad u(x,0)=u_0(x), quad u(pm 1,t)=pm 1, $$ on the bounded spatial domain $[-1,1]$; $f$ is a smooth function satisf...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
1998-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/1998/30/abstr.html |