Zobrazeno 1 - 10
of 1 069
pro vyhledávání: '"AYDIN, Mustafa"'
Autor:
Aydın, Mustafa Sencer, Kukavica, Igor
We consider the three-dimensional incompressible Euler equations in Sobolev conormal spaces and establish local-in-time existence and uniqueness in the half-space or channel. The initial data is Lipschitz having four square-integrable conormal deriva
Externí odkaz:
http://arxiv.org/abs/2407.18149
Autor:
Aydin, Mustafa Yalin, Curran, Vernon, White, Susan, Pena-Castillo, Lourdes, Meruvia-Pastor, Oscar
The use of Virtual Reality (VR) technologies has been extensively researched in surgical and anatomical education. VR provides a lifelike and interactive environment where healthcare providers can practice and refresh their skills in a safe environme
Externí odkaz:
http://arxiv.org/abs/2406.15598
Autor:
Aydın, Mustafa Sencer, Kukavica, Igor
We consider the vanishing viscosity problem for solutions of the Navier-Stokes equations with Navier boundary conditions in the half-space. We lower the currently known conormal regularity needed to establish that the inviscid limit holds. Our requir
Externí odkaz:
http://arxiv.org/abs/2404.17111
We address the long-time behavior of the 2D Boussinesq system, which consists of the incompressible Navier-Stokes equations driven by a non-diffusive density. We construct globally persistent solutions on a smooth bounded domain, when the initial dat
Externí odkaz:
http://arxiv.org/abs/2403.12509
Autor:
Aydin, Mustafa, Mahmudov, Nazim I.
The linear nonhomogeneous fractional difference system with constant coefficients is introduced. An explicit solution to the system is acquired by proposing a newly discrete retarded perturbation of the nabla Mittag-Leffer-type function containing su
Externí odkaz:
http://arxiv.org/abs/2401.03299
We introduce a novel ensemble approach for feature selection based on hierarchical stacking for non-stationarity and/or a limited number of samples with a large number of features. Our approach exploits the co-dependency between features using a hier
Externí odkaz:
http://arxiv.org/abs/2310.17544
We investigate nonlinear prediction/regression in an online setting and introduce a hybrid model that effectively mitigates, via a joint mechanism through a state space formulation, the need for domain-specific feature engineering issues of conventio
Externí odkaz:
http://arxiv.org/abs/2309.10553
We consider the three-dimensional Euler equations in a domain with a free boundary with no surface tension. We construct unique local-in-time solutions in the Lagrangian setting for $u_0 \in H^{2.5+\delta }$ such that the Rayleigh-Taylor condition ho
Externí odkaz:
http://arxiv.org/abs/2307.02201
We address the long time behavior of the Boussinesq system coupling the Navier-Stokes equations driven by density with the non-diffusive equation for the density. We construct solutions of the system justifying previously obtained a priori bounds.
Externí odkaz:
http://arxiv.org/abs/2304.00481