16 citations · 39 across the 9 of their papers we have counts for
11 papers
Unconventional spin dynamics in the non-collinear phase of a ferrimagnet
D. M. Krichevsky, N. A. Gusev, D. O. Ignatyeva +6
Ferrimagnets containing several partially compensated magnetic sublattices are considered the most promising materials for all-optical data storage and for ultrafast communications…
The inverse proximity effect in strong ferromagnet-superconductor structures
Vladimir Yagovtsev, Natalia Pugach, Matthias Eschrig
The magnetization in a superconductor induced due to the inverse proximity effect is investigated in hybrid bilayers containing a superconductor and a ferromagnetic insulator or a…
On the structure of divergence-free measures on
Paolo Bonicatto, Nikolay A. Gusev
We consider the structure of divergence-free vector measures on the plane. We show that such measures can be decomposed into measures induced by closed simple curves. More generall…
Non-uniqueness of signed measure-valued solutions to the continuity equation in presence of a unique flow
Paolo Bonicatto, Nikolay A. Gusev
We consider the continuity equation , where is a measurable family of (possibily signed) Borel measur…
On existence of Borel flow for ordinary differential equation with a non-smooth vector field
Nikolay A. Gusev
For smooth vector fields the classical method of characteristics provides a link between the ordinary differential equation and the corresponding continuity equation (or transport…
On the one-dimensional continuity equation with a nearly incompressible vector field
Nikolay A. Gusev
We consider the Cauchy problem for the continuity equation with a bounded nearly incompressible vector field , . This class o…
Non-Uniqueness and prescribed energy for the continuity equation
Gianluca Crippa, Nikolay Gusev, Stefano Spirito +1
In this note we provide new non-uniqueness examples for the continuity equation by constructing infinitely many weak solutions with prescribed energy.
Failure of the chain rule for the divergence of bounded vector fields
Gianluca Crippa, Nikolay Gusev, Stefano Spirito +1
We provide a vast class of counterexamples to the chain rule for the divergence of bounded vector fields in three space dimensions. Our convex integration approach allows us to pro…
Renormalization for autonomous nearly incompressible BV vector fields in 2D
Stefano Bianchini, Paolo Bonicatto, Nikolay A. Gusev
Given a bounded autonomous vector field , we study the uniqueness of bounded solutions to the initial value problem for the related transport…
Steady nearly incompressible vector fields in 2D: chain rule and renormalization
Stefano Bianchini, Nikolay A. Gusev
Given bounded vector field , scalar field and a smooth function we study the character…
On Solutions to the Wave Equation on Non-globally Hyperbolic Manifold
O. V. Groshev, N. A. Gusev, E. A. Kuryanovich +1
We consider the Cauchy problem for the wave equation on a non-globally hyperbolic manifold of the special form (Minkowski plane with a handle) containing closed timelike curves (ti…