output
20052026
most citedEnergy cascade in internal wave attractors

68 citations

61 papers

physics.geo-ph2026

Acceleration methods for the planar 3D ILSA hydraulic fracturing model

V. I. Shukalo, A. V. Valov, A. N. Baykin

Planar 3D models of hydraulic fracturing provide a practical balance between models with restrictive geometric assumptions and fully 3D simulators, capturing fractures with arbitra…

cs.LG2024

Machine learning for cerebral blood vessels' malformations

Irem Topal, Alexander Cherevko, Yuri Bugay +5

Cerebral aneurysms and arteriovenous malformations are life-threatening hemodynamic pathologies of the brain. While surgical intervention is often essential to prevent fatal outcom…

cond-mat.mtrl-sci2024

Volumetric glass modification with Gaussian and doughnut-shaped pulses: From localized laser energy absorption to absorption delocalization

Martin Zukerstein, Vladimir P. Zhukov, Yuri P. Meshcheryakov +1

Volumetric modification of glass materials by ultrashort laser pulses is a powerful technique enabling direct writing of three-dimensional structures for fabrication of optical, ph…

math.AP2022★ 1 cited

Weak solutions of 3D compressible Navier-Stokes equations in critical case

Pavel I. Plotnikov

New estimates of the potentials of solutions to the compressible Navier-Stokes equations are derived. The result obtained are applied to boundary value problems for the compressibl…

astro-ph.EP2022★ 17 cited

Formation of pebbles in (gravito-)viscous protoplanetary disks with various turbulent strengths

Eduard I. Vorobyov, Vardan G. Elbakyan, Anders Johansen +3

Aims. Dust plays a crucial role in the evolution of protoplanetary disks. We study the dynamics and growth of initially sub- dust particles in self-gravitating young protoplane…

math.OC2022

Shape Derivative for Penalty-Constrained Nonsmooth-Nonconvex Optimization: Cohesive Crack Problem

Victor A. Kovtunenko, Karl Kunisch

A class of non-smooth and non-convex optimization problems with penalty constraints linked to variational inequalities (VI) is studied with respect to its shape differentiability.…