output
20132024
most citedOn weakly singular and fully nonlinear travelling shallow capillary-gravity waves in the critical regime

11 citations

6 papers

math.AP2024★ 2 cited

Behavior of solutions to semilinear evolution inequalities in an annulus: the critical cases

Meiirkhan B. Borikhanov, Berikbol T. Torebek

In the present paper, we consider the parabolic and hyperbolic inequalities with a singular potentials and with a critical nonlinearities in the annulus domain. The problems are st…

math.AP2023★ 7 cited

On inhomogeneous exterior Robin problems with critical nonlinearities

Meiirkhan B. Borikhanov, Berikbol T. Torebek

The paper studies the large-time behavior of solutions to the Robin problem for PDEs with critical nonlinearities. For the considered problems, nonexistence results are obtained, w…

math.AP2019★ 5 cited

Local and blowing-up solutions for an integro-differential diffusion equation and system

Meiirkhan Borikhanov, Berikbol T. Torebek

In the present paper initial problems for the semilinear integro-differential diffusion equation and system are considered. The analogue of Duhamel principle for the linear integro…

physics.class-ph2016★ 11 cited

On weakly singular and fully nonlinear travelling shallow capillary-gravity waves in the critical regime

Dimitrios Mitsotakis, Denys Dutykh, Aydar Assylbekuly +1

In this Letter we consider long capillary-gravity waves described by a fully nonlinear weakly dispersive model. First, using the phase space analysis methods we describe all possib…

math.AP2016★ 9 cited

A nonlocal fractional Helmholtz equation

Mokhtar Kirane, Batirkhan K. Turmetov, Berikbol T. Torebek

In this paper we study some boundary value problems for a fractional analogue of second order elliptic equation with an involution perturbation in a rectangular domain. Theorems on…

cond-mat.str-el2013★ 3 cited

Effect of screening of the electron-phonon interaction on the temperature of Bose-Einstein condensation of intersite bipolarons

B. Yavidov, A. Kurmantayev, D. Alimov +2

Here we consider an interacting electron-phonon system within the framework of extended Holstein-Hubbard model at strong enough electron-phonon interaction limit in which (bi)polar…