Results 21 to 30 of about 27,423 (132)
Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT This study investigates the flow of a magnetized hybrid nanofluid over a permeable stretching surface. The mass and thermal transport within the system is regulated using the Cattaneo–Christov flux theory. The fluid is additionally subjected to thermophoresis, chemical reaction, Brownian motion, and activation energy effects.
Ebrahem A. Algehyne +6 more
wiley +1 more source
, 2016 The equations governing one-dimensional, steady-state electrodiffusion are considered when there are arbitrarily many mobile ionic species present, in any number of valence classes, possibly also with a uniform distribution of fixed charges.
Bass, L., Bracken, A. J.
core +1 more source
Modeling and parameter estimation for fractional large‐scale interconnected Hammerstein systems
Asian Journal of Control, EarlyView.Abstract This paper addresses the challenge of modeling and identifying large‐scale interconnected systems exhibiting memory effects, hereditary properties, and non‐local interactions. We propose a fractional‐order extension of the Hammerstein architecture that incorporates Grünwald–Letnikov operators to capture complex dynamics through multiple ...
Mourad Elloumi +2 more
wiley +1 more source
Biotechnology and Bioengineering, EarlyView.ABSTRACT The design of biological carbon capture systems to uptake carbon dioxide by photoautotrophic cultivation of algae has been proposed to mitigate atmospheric carbon emissions. Multiple models to predict algal growth as a function of nutrients have been proposed, but few have delved into the complex dynamic reactions of algal growth as influenced
Elizabeth Flanagan +2 more
wiley +1 more source
Upper-division student difficulties with Separation of Variables
, 2015 Separation of variables can be a powerful technique for solving many of the partial differential equations that arise in physics contexts. Upper-division physics students encounter this technique in multiple topical areas including electrostatics and ...
Pollock, Steven J., Wilcox, Bethany R.
core +2 more sources
Optimal model‐based design of experiments for parameter precision: Supercritical extraction case
The Canadian Journal of Chemical Engineering, EarlyView.Abstract This study investigates the process of chamomile oil extraction from flowers. A parameter‐distributed model consisting of a set of partial differential equations is used to describe the governing mass transfer phenomena in a cylindrical packed bed with solid chamomile particles under supercritical conditions using carbon dioxide as a solvent ...
Oliwer Sliczniuk, Pekka Oinas
wiley +1 more source
Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
An implicit algorithm for validated enclosures of the solutions to variational equations for ODEs
, 2016 We propose a new algorithm for computing validated bounds for the solutions to the first order variational equations associated to ODEs. These validated solutions are the kernel of numerics computer-assisted proofs in dynamical systems literature.
Walawska, Irmina, Wilczak, Daniel
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Exponential-Krylov methods for ordinary differential equations
, 2014 This paper develops a new class of exponential-type integrators where all the matrix exponentiations are performed in a single Krylov space of low dimension.
Sandu, Adrian, Tranquilli, Paul
core +1 more source