Geodesic
Homogenization with uncertain input parameters
Mathematica Bohemica, Tome 135 (2010) no. 4, pp. 393-402
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We homogenize a class of nonlinear differential equations set in highly heterogeneous media. Contrary to the usual approach, the coefficients in the equation characterizing the material properties are supposed to be uncertain functions from a given set of admissible data. The problem with uncertainties is treated by means of the worst scenario method, when we look for a solution which is critical in some sense.
We homogenize a class of nonlinear differential equations set in highly heterogeneous media. Contrary to the usual approach, the coefficients in the equation characterizing the material properties are supposed to be uncertain functions from a given set of admissible data. The problem with uncertainties is treated by means of the worst scenario method, when we look for a solution which is critical in some sense.
DOI : 10.21136/MB.2010.140830
Classification : 35B27, 35B30, 35B40, 35J25, 35R05, 49J20
Keywords: homogenization; uncertain input data; worst scenario 
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Nechvátal, Luděk. Homogenization with uncertain input parameters. Mathematica Bohemica, Tome 135 (2010) no. 4, pp. 393-402. doi: 10.21136/MB.2010.140830

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