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math-ph2022★ 4 cited
Application of invariants of characteristics to construction of solutions without gradient catastrophe
Alexander V. Aksenov, Konstantin P. Druzhkov, Oleg V. Kaptsov
The one-dimensional system of equations of isentropic gas dynamics is considered. First-order invariants of characteristics of this system are classified. Second-order invariants o…
math-ph2021
On the correspondence between variational principles in Eulerian and Lagrangian descriptions
Alexander V. Aksenov, Konstantin P. Druzhkov
A relation between variational principles for equations of continuum mechanics in Eulerian and Lagrangian descriptions is considered. It is shown that for a system of differential…