Mathematical model and stability of SWCNT- and MWCNT-based nanofluid flow with thermal and chemically reactive effects inside a porous vertical cone. [PDF]
Xu H, Awwad FA, Ismail EAA, Khan W.
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Collocation Finite Element Method for the Fractional Fokker–Planck Equation
This study explores approximate solutions for fractional Fokker–Planck equations using general finite element schemes developed via the collocation finite element method with trigonometric quintic B‐spline basis functions. It validates these methods on two fundamental problems and compares numerical results, including L2$$ {L}_2 $$ and L∞$$ {L}_{\infty
Hatice Karabenli+2 more
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Dynamics of spindle assembly and position checkpoints: Integrating molecular mechanisms with computational models. [PDF]
Ibrahim B.
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We design of a relaxation scheme to cope with instabilities intrinsic to a possibly non‐hyperbolic system of conservation laws arising from polymer injection models. We improve the robustness via control of positivity and peak amplitudes for most severe closure laws representing inaccessible pore volumes effect.
C. Berthon+4 more
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Analysis of some dynamical systems by combination of two different methods. [PDF]
Ganie AH+4 more
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Stability of N‐front and N‐back solutions in the Barkley model
ABSTRACT In this article, we establish for an intermediate Reynolds number domain the stability of N$$ N $$‐front and N$$ N $$‐back solutions for each N>1$$ N>1 $$ corresponding to traveling waves, in an experimentally validated model for the transition to turbulence in pipe flow proposed in [Barkley et al., Nature 526(7574):550‐553, 2015]. We base our
Christian Kuehn, Pascal Sedlmeier
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A scalable framework for learning the geometry-dependent solution operators of partial differential equations. [PDF]
Yin M+5 more
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A nonlinear characterization of stochastic completeness of graphs
Abstract We study nonlinear Schrödinger operators on graphs. We construct minimal nonnegative solutions to corresponding semilinear elliptic equations and use them to introduce the notion of stochastic completeness at infinity in a nonlinear setting. We provide characterizations for this property in terms of a semilinear Liouville theorem.
Marcel Schmidt, Ian Zimmermann
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Analyzing the neural wave structures in the field of neuroscience. [PDF]
Younas U+4 more
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Fusion‐Based Constitutive Model (FuCe): Toward Model‐Data Augmentation in Constitutive Modeling
ABSTRACT Constitutive modeling is crucial for engineering design and simulations to accurately describe material behavior. However, traditional phenomenological models often struggle to capture the complexities of real materials under varying stress conditions due to their fixed forms and limited parameters.
Tushar, Sawan Kumar, Souvik Chakraborty
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