Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Ulusoy, Suleyman"'
In this paper, we study the flux identification problem for a nonlinear time-fractional viscoelastic equation with a general source function based on the boundary measurements. We prove that the direct problem is well-posed, i.e., the solution exists
Externí odkaz:
http://arxiv.org/abs/2407.16621
Autor:
Ulusoy, Suleyman
We try to explain the mathematical theory of thin liquid film evolution. We start with introducing physical processes in which thin film evolution plays an important role. Derivation of the classical thin film equation and existing mathematical theor
Externí odkaz:
http://hdl.handle.net/1853/16213
Autor:
Carlen, Eric A., Ulusoy, Suleyman
We consider a degenerate chemotaxis model with two-species and two-stimuli in dimension $d \geq 3$. Under the hypothesis of integrable initial data with finite second moment and energy, we show local-in-time existence for any mass of free-energy solu
Externí odkaz:
http://arxiv.org/abs/2111.06154
In this study, we provide error estimates and stability analysis of deep learning techniques for certain partial differential equations including the incompressible Navier-Stokes equations. In particular, we obtain explicit error estimates (in suitab
Externí odkaz:
http://arxiv.org/abs/2008.02844
Autor:
Akın, Hasan, Ulusoy, Suleyman
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena September 2023 174
Autor:
Guerngar, Ngartelbaye, Nane, Erkan, Tinatztepe, Ramazan, Ulusoy, Suleyman, Van Wyk, Hans Werner
In this article, we consider the space-time fractional (nonlocal) equation characterizing the so-called "double-scale" anomalous diffusion $$\partial_t^\beta u(t, x) = -(-\Delta)^{\alpha/2}u(t,x) - (-\Delta)^{\gamma/2}u(t,x) \ \ t> 0, \ -1
Externí odkaz:
http://arxiv.org/abs/1912.01779
Autor:
Akın, Hasan, Ulusoy, Suleyman
Publikováno v:
In Physica B: Physics of Condensed Matter 1 September 2022 640
Autor:
Carlen, Eric A., Ulusoy, Suleyman
We study an evolution equation that is the gradient flow in the $2$-Wasserstien metric of a non-convex functional for densities in $\mathbb{R}^n$ with $n \geq 3$. Like the Patlack-Keller-Segel system on $\mathbb{R}^2$, this evolution equation feature
Externí odkaz:
http://arxiv.org/abs/1712.04885
Autor:
Carlen, Eric A., Ulusoy, Suleyman
We investigate the long-time behavior of weak solutions to the thin-film type equation $$v_t =(xv - vv_{xxx})_x\ ,$$ which arises in the Hele-Shaw problem. We estimate the rate of convergence of solutions to the Smyth-Hill equilibrium solution, which
Externí odkaz:
http://arxiv.org/abs/1006.2256
Autor:
Karlsen, Kenneth H., Ulusoy, Suleyman
We analyze entropy solutions for a class of Levy mixed hyperbolicparabolic equations containing a non-local (or fractional) diffusion operator originating from a pure jump Levy process. For these solutions we establish uniqueness (L1 contraction prop
Externí odkaz:
http://arxiv.org/abs/0902.0538