AbstractIn this talk, we will be concerned with the isomonodromy equation corresponding to the linear differential system with coefficients u+A/z, and introduce the asymptotic behavior and series expansion of its solutions at a certain boundary point. Our main technique is to apply the Riemann-Hilbert mapping at this boundary point
Description:This course presents a comprehensive exploration of mathematical theories on metamaterials within wave systems including acoustics, electromagnetics, and elasticity. The analytical methodologies encompass both the potential theory and the variational approach. Subsequently, the course delves into the practical applications including cloaking invisibility and imaging. Regarding invis...