3 papers
math-ph2026
Local conservation laws and symmetries of three-dimensional incompressible Euler flow
Alexey Shevyakov
We classify all smooth local conservation laws of three-dimensional homogeneous incompressible Euler flow in velocity and pressure, allowing explicit time and position and derivati…
math-ph2026
Computational Algorithms for Invariant Reduction of Variational Forms
Kostya Druzhkov, Alexey Shevyakov
Symmetry reductions of partial differential equations (PDEs) inherit more geometric structures than other types of reductions: invariant conservation laws, variational structures,…
math.AP2026
Higher-order Approximate Symmetries
Alexey Shevyakov
Fushchych and Shtelen defined approximate symmetry by expanding the solution of a perturbed differential equation in the small parameter, replacing the original equation by a trian…