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Existence and regularity results for space-time fractional integro-differential equation of Kirchhoff type with memory
Lalit Kumar, Sivaji Ganesh Sista, Konijeti Sreenadh
This paper analyses a Kirchhoff type quasilinear space-time fractional integro-differential equation with memory . Various a priori bounds are derived in diffe…
Bloch Wave Homogenization of Quasiperiodic Media
Sivaji Ganesh Sista, Vivek Tewary
Quasiperiodic media is a class of almost periodic media which is generated from periodic media through a "cut and project" procedure. Bloch waves are typically defined through a di…
Bloch wave approach to almost periodic homogenization and approximations of effective coefficients
Sivaji Ganesh Sista, Vivek Tewary
Bloch wave homogenization is a spectral method for obtaining effective coefficients for periodically heterogeneous media. This method hinges on the direct integral decomposition of…
Generic Simplicity of Spectral Edges and Applications to Homogenization
Sivaji Ganesh Sista, Vivek Tewary
We consider the spectrum of a second-order elliptic operator in divergence form with periodic coefficients, which is known to be completely described by Bloch eigenvalues. We show…