9 citations
2 papers
cond-mat.stat-mech2012★ 1 cited
Hydrodynamic states of phonons in insulators
S. A. Sokolovsky
The Chapman-Enskog method is generalized for accounting the effect of kinetic modes on hydrodynamic evolution. Hydrodynamic states of phonon system of insulators have been studied…
math-ph2007★ 9 cited
Nonlocal Symmetries and Generation of Solutions for Partial Differential Equations
Valentyn Tychynin, Olga Petrova, Olesya Tertyshnyk
We have constructed new formulae for generation of solutions for the nonlinear heat equation and for the Burgers equation that are based on linearizing nonlocal transformations and…