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Some observations from computations of the Kohn-Muller model

Friday, July 1, 2011 - 11:00am - 11:20am
Lind 305
Benson Muite (University of Michigan)
We describe some computational results for the partial
differential equation

$$\rho u_{tt} - \beta \Delta u = 15(u_x^3 -u_x)_x +\gamma u_{yy} - \epsilon^2 u_{xxxx}$$

which arises as a simplified model for phase transformations. We
describe some features of the equation in the limit$\epsilon\rightarrow0$.
MSC Code: 
35-XX