17 citations
- Russian Academy of SciencesRU4 papers
- Institute of Applied MathematicsRU3 papers
- Keldysh Institute of Applied MathematicsRU2 papers
- University of RegensburgDE2 papers
- Computational Physics (United States)US1 paper
- Department of Mathematical SciencesRU1 paper
- Moscow Aviation InstituteRU1 paper
- Peoples' Friendship University of RussiaRU1 paper
- Toulouse Mathematics Institute1 paper
- Université du Québec à MontréalCA1 paper
- Université Toulouse III - Paul SabatierFR1 paper
- University of BathGB1 paper
14 papers
On the nonlocal Darboux transformation for the stationary axially symmetric Schrödinger and Helmholtz equations
Andrey Kudryavtsev
The nonlocal Darboux transformation for the stationary axially symmetric Schrödinger and Helmholtz equations is considered. Formulae for the nonlocal Darboux transformation are obt…
Weighted K-stability of polarized varieties and extremality of Sasaki manifolds
Vestislav Apostolov, David M. J. Calderbank, Eveline Legendre
We use the correspondence between extremal Sasaki structures and weighted extremal Kahler metrics defined on a regular quotient of a Sasaki manifold, established by the first two a…
Critical behavior for impact fragmentation of spherical solid bodies sensitive to strain rate
N. N. Myagkov
We consider the impact fragmentation of two spherical solid bodies sensitive to strain rate in a three-dimensional (3D) setting. We use both dimensional analysis and numerical simu…
Generalized Einstein's and Brinkman's solutions for the effective viscosity of nanofluids
Y. O. Solyaev, S. A. Lurie, N. A. Semenov
In this paper, we derive the closed form analytical solutions for the effective viscosity of the suspensions of solid spheres that take into account the size effects. This result i…
Analytical solution of a plane strain pure bending problem in second gradient electroelasticity
Yury Solyaev, Sergey Lurie
Semi-inverse analytical solution of a pure bending problem for piezoelectric layer is developed in the framework of linear electroelasticity theory with strain gradient and electri…
Scaling Invariance and Characteristics of the Fragments Cloud of Spherical Projectile Fragmentation upon High-Velocity Impact on a Thin Mesh Shield
N. N. Myagkov
In the present paper we consider the problem of the fragmentation of an aluminum projectile on a thin steel mesh shield at high-velocity impact in a three-dimensional (3D) setting.…