Smoluchowski-Kramers approximation in the case of variable friction
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🧮 math.PR
math-phmath.MP
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approximationsmoluchowski-kramerscasefrictionvariableapplicationsasymptoticsclassical
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We consider the small mass asymptotics (Smoluchowski-Kramers approximation) for the Langevin equation with a variable friction coefficient. The limit of the solution in the classical sense does not exist in this case. We study a modification of the Smoluchowski-Kramers approximation. Some applications of the Smoluchowski-Kramers approximation to problems with fast oscillating or discontinuous coefficients are considered.
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Cited by 1 Pith paper
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