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In the small diffusion limit ε → 0, metastable dynamics is studied for the generalized Burgers problem u t + f (u)u x − f (u) = εu xx , 0 < x < 1 , t > 0 u(0, t) = u(1, t) = 0 , u(x, 0) = u 0 (x). Here u = u(x, t) and f(u) is smooth, convex, and satisfies f(0) = f (0) = 0. The choice f(u) = u 2 /2 has been shown previously to arise in connection with the(More)
Laser range finder is one of the effective and automatic methods for distance measurement, making distance measurement much easier and safer in the places where people can't reach. Laser range finder helps to measure the distance accurately by finding the difference of phase which brings by modulated wave through the distance. Through the analysis of(More)
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