Results 11 to 20 of about 573 (64)
On a modified form of navier-stokes equations for three-dimensional flows. [PDF]
ScientificWorldJournal, 2015 A rephrased form of Navier‐Stokes equations is performed for incompressible, three‐dimensional, unsteady flows according to Eulerian formalism for the fluid motion. In particular, we propose a geometrical method for the elimination of the nonlinear terms of these fundamental equations, which are expressed in true vector form, and finally arrive at an ...
Venetis J.
europepmc +2 more sources
Quantum Quantile Mechanics: Solving Stochastic Differential Equations for Generating Time‐Series
Advanced Quantum Technologies, Volume 6, Issue 10, October 2023., 2023 A quantum algorithm is proposed for generative modeling based on solutions of stochastic differential equations. Using differentiable quantum circuits, the quantile function is represented and trained for an underlying probability distribution, which is used for sampling this distribution.
Annie E. Paine +2 more
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Mathematische Nachrichten, Volume 295, Issue 6, Page 1113-1162, June 2022., 2022 Abstract The paper is a continuation of Part I and contains several further results on generalized boundary triples, the corresponding Weyl functions, and applications of this technique to ordinary and partial differential operators. We establish a connection between Post's theory of boundary pairs of closed nonnegative forms on the one hand and the ...
Volodymyr Derkach +2 more
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ARGOS: An adaptive refinement goal‐oriented solver for the linearized Poisson–Boltzmann equation
Journal of Computational Chemistry, Volume 42, Issue 26, Page 1832-1860, October 5, 2021., 2021 An adaptive refinement goal oriented solver (ARGOS) of the linearized Poisson–Boltzmann equation for the calculation of the electrostatic interaction between molecules is developed and tested. It can efficiently handle discontinuous dielectric coefficients, singular charge densities, and the complicated geometry of molecular domains in three spatial ...
Svetoslav Nakov +3 more
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Spatially Inhomogeneous Evolutionary Games
Communications on Pure and Applied Mathematics, Volume 74, Issue 7, Page 1353-1402, July 2021., 2021 Abstract We introduce and study a mean‐field model for a system of spatially distributed players interacting through an evolutionary game driven by a replicator dynamics. Strategies evolve by a replicator dynamics influenced by the position and the interaction between different players and return a feedback on the velocity field guiding their motion ...
Luigi Ambrosio +3 more
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Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 The main concentration of the present research is to explore several theoretical criteria for proving the existence results for the suggested boundary problem. In fact, for the first time, we formulate a new hybrid fractional differential inclusion in the φ‐Caputo settings depending on an increasing function φ subject to separated mixed φ‐hybrid ...
Sh. Rezapour +5 more
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Abstract and Applied Analysis, Volume 2019, Issue 1, 2019., 2019 We define and study C1‐solutions of the Aronsson equation (AE), a second order quasi linear equation. We show that such super/subsolutions make the Hamiltonian monotone on the trajectories of the closed loop Hamiltonian dynamics. We give a short, general proof that C1‐solutions are absolutely minimizing functions.
Pierpaolo Soravia, Ying Hu
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Shock and Vibration, Volume 2018, Issue 1, 2018., 2018 This paper is concerned with temperature effects on the modeling and vibration characteristics of Euler‐Bernoulli beams with symmetric and nonsymmetric boundary conditions. It is assumed that in the considered model the temperature increases/decreases instantly, and the temperature variation is uniformly distributed along the length and the cross ...
Yaobing Zhao +2 more
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First‐Order Regular and Degenerate Identification Differential Problems
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015 We are concerned with both regular and degenerate first‐order identification problems related to systems of differential equations of weakly parabolic type in Banach spaces. Several applications to partial differential equations and systems will be given in a subsequent paper to show the fullness of our abstract results.
A. Favini +3 more
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A vanishing diffusion limit in a nonstandard system of phase field equations [PDF]
, 2012 We are concerned with a nonstandard phase field model of Cahn-Hilliard type. The model, which was introduced by Podio-Guidugli (Ric. Mat. 2006), describes two-species phase segregation and consists of a system of two highly nonlinearly coupled PDEs.
Colli, Pierluigi +3 more
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