Browsing Year-2024 by Issue Date

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Spatio-temporal linear stability of viscoelastic saffman-taylor flows

Ghosh, Dipa; Sircar, Sarthok (Advisor) (IIIT-Delhi, 2024-03)

This thesis is about an analytical study of viscoelastic fingering that solves the problem of predicting the finger width when a Newtonian fluid (with negligible viscosity) drives a non-Newtonian (power-law) fluid. The ...
On some special classes of additive codes over finite fields

Sharma, Sandeep; Sharma, Anuradha (Advisor) (IIIT-Delhi, 2024-05)

In this thesis, we define and study a new class of additive codes over finite fields, viz. multi-twisted (MT) additive codes, which is a generalization of constacyclic additive codes and an extension of MT (linear) codes ...
On some special classes of linear and additive codes over finite commutative chain rings

Yadav, Monika; Sharma, Anuradha (Advisor) (IIIT-Delhi, 2024-05)

Self-orthogonal codes, self-dual codes, and linear codes with complementary duals (LCD codes) constitute the three most important and well-studied classes of linear codes. These codes have nice algebraic structures and are ...
On the distribution and applications of Ramanujan sums

Goel, Shivani; Chaubey, Sneha (Advisor) (IIIT-Delhi, 2024-05)

While studying the trigonometric series expansion of certain arithmetic functions, Ramanujan, in 1918, defined a sum of the nth power of the primitive qth roots of unity and denoted it as cq(n). These sums are now known ...

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