Zobrazeno 1 - 10
of 84
pro vyhledávání: '"Bozhkov Yuri"'
Publikováno v:
Advances in Nonlinear Analysis, Vol 12, Iss 1, Pp 493-518 (2023)
In the present work, we find the Lie point symmetries of the Ricci flow on an n-dimensional manifold, and we introduce a method in order to reutilize these symmetries to obtain the Lie point symmetries of particular metrics. We apply this method to r
Externí odkaz:
https://doaj.org/article/cc4a0988651e48c881bcd14da53aa57a
In the present work we find the Lie point symmetries of the Ricci flow on an $n$-dimensional manifold. and we introduce a method in order to reutilize these symmetries to obtain the Lie point symmetries of particular metrics. We apply this method to
Externí odkaz:
http://arxiv.org/abs/2212.13630
We establish conservation laws for the second order Kudryashov-Sinelshchikov equation, which models pressure waves in liquid with bubbles. For this purpose we use the method of Nail Ibragimov based on the notion of nonlinear self-adjointness.
Co
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Externí odkaz:
http://arxiv.org/abs/1912.03748
Autor:
Bozhkov, Yuri, Dimas, Stylianos
The complete group classification of a generalization of the Black-Scholes-Merton model is carried out by making use of the underlying equivalence and additional equivalence transformations. For each non linear case obtained through this classificati
Externí odkaz:
http://arxiv.org/abs/1304.6840
We find the Lie point symmetries of the Novikov equation and demonstrate that it is strictly self-adjoint. Using the self-adjointness and the recent technique for constructing conserved vectors associated with symmetries of differential equations, we
Externí odkaz:
http://arxiv.org/abs/1202.3954
Autor:
Bozhkov, Yuri, Olver, Peter J.
Publikováno v:
SIGMA 7 (2011), 055
We construct identities of Pohozhaev type, in the context of elastostatics and elastodynamics, by using the Noetherian approach. As an application, a non-existence result for forced semi-linear isotropic and anisotropic elastic systems is established
Externí odkaz:
http://arxiv.org/abs/1106.1495
Autor:
Bozhkov, Yuri, Mitidieri, Enzo
We propose a general Noetherian approach to Rellich integral identities. Using this method we obtain a higher order Rellich type identity involving the polyharmonic operator on Riemannian manifolds admitting homothetic transformations. Then we prove
Externí odkaz:
http://arxiv.org/abs/1012.2993
Autor:
Bozhkov, Yuri, Freire, Igor Leite
We obtain a complete group classification of the Lie point symmetries of nonlinear Poisson equations on generic (pseudo) Riemannian manifolds M. Using this result we study their Noether symmetries and establish the respective conservation laws. It is
Externí odkaz:
http://arxiv.org/abs/0911.5292
Autor:
Bozhkov, Yuri
We establish a generalization to Riemannian manifolds of the Caffarelli-Kohn-Nirenberg inequality. The applied method is based on the use of conformal Killing vector fields and Enzo Mitidieri's approach to Hardy inequalities.
Externí odkaz:
http://arxiv.org/abs/0906.3241
Autor:
Bozhkov, Yuri, Mitidieri, Enzo
Publikováno v:
SIGMA 3 (2007), 053, 17 pages
We discuss the notion of criticality of semilinear differential equations and systems, its relations to scaling transformations and the Noether approach to Pokhozhaev's identities. For this purpose we propose a definition for criticality based on the
Externí odkaz:
http://arxiv.org/abs/math-ph/0703071