3 papers
astro-ph.EP2023
Orbital Decay of Hot Jupiters due to Weakly Nonlinear Tidal Dissipation
Nevin N. Weinberg, Niyousha Davachi, Reed Essick +3
We study tidal dissipation in hot Jupiter host stars due to the nonlinear damping of tidally driven -modes, extending the calculations of Essick & Weinberg (2016) to a wide vari…
math-ph2019
Lagrangian formalism and Lie group approach for commutative semigroup of differential equations
Zdzislaw Musielak, Niyousha Davachi, Marialis Rosario-Franco
A set of linear second-order differential equations is converted into a semigroup, whose algebraic structure is used to generate many novel equations. Two independent methods that…
math-ph2019
Special Functions of Mathematical Physics: A Unified Lagrangian Formalism
Zdzislaw Musielak, Niyousha Davachi, Marialis Rosario-Franco
Lagrangian formalism is established for differential equations with special functions of mathematical physics as solutions. Formalism is based on either standard or non-standard La…