34 citations · 38 across the 5 of their papers we have counts for
6 papers
Type Singularities for Sufficiently Smooth Functions
Ibrokhimbek Akramov, Dildora Ikromova
In this paper, we will consider -type singularities which are Arnol'd type. We provide invariant conditions for a sufficiently smooth functions to have singularities of type $E_…
Sharp estimates for convolution operators associated to hypersurfaces in with height
Ibrokhimbek Akramov, Isroil A. Ikromov
In this article, we study the convolution operator with oscillatory kernel, which is related with solutions to the Cauchy problem for the strictly hyperbolic equations. The o…
Minimal Energy for Geometrically Nonlinear Elastic Inclusions in Two Dimensions
Ibrokhimbek Akramov, Hans Knüpfer, Martin Kružík +1
We are concerned with a variant of the isoperimetric problem, which in our setting arises in a geometrically nonlinear two-well problem in elasticity. More precisely, we investigat…
Non-Unique Admissible Weak Solutions of the Compressible Euler Equations with Compact Support in Space
Ibrokhimbek Akramov, Emil Wiedemann
This paper is concerned with the existence of compactly supported admissible solutions to the Cauchy problem for the isentropic compressible Euler equations. In more than one space…
Energy Conservation for the Compressible Euler and Navier-Stokes Equations with Vacuum
Ibrokhimbek Akramov, Tomasz Dębiec, Jack W. D. Skipper +1
We consider the compressible isentropic Euler equations on with a pressure law , where . This includes all physically relevant…
Renormalization of active scalar equations
Ibrokhimbek Akramov, Emil Wiedemann
We consider transport equations with an incompressible transporting vector field. Whereas smooth solutions of such equations conserve every norm simply by the chain rule, the…