Some topics in homogenization

Charles Manson · Warwick Research Archive Portal (University of Warwick) · 2010

This thesis is mainly concerned with solving a new type of periodic homogenization problem. A solution of removing the Diophantine hypothesis on the homogenization problem where the interface sits at an irrational angle to the period is attempted but is not yet complete. As an aside an oscillator problem is analyzed using the corrector based approach of homogenization.

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