Results 61 to 70 of about 2,183,872 (273)

Explicit solutions of PDE via Vessiot theory and solvable structures [PDF]

, 2014
We consider the problem of computing the integrable sub-distributions of the non-integrable Vessiot distribution of multi-dimensional second order partial differential equations (PDEs). We use Vessiot theory and solvable structures to find the largest integrable distributions contained in the Vessiot distribution associated to second order PDEs.
arxiv   +1 more source

Mathematical Modeling and Computational Science [PDF]

, 2012
15 ...
Gheorghe Adam, Ján Buša, Michal Hnatič   +2 more
openaire   +4 more sources

Severity of effect considerations regarding the use of mutation as a toxicological endpoint for risk assessment: A report from the 8th International Workshop on Genotoxicity Testing (IWGT)

Environmental and Molecular Mutagenesis, EarlyView.
Abstract Exposure levels without appreciable human health risk may be determined by dividing a point of departure on a dose–response curve (e.g., benchmark dose) by a composite adjustment factor (AF). An “effect severity” AF (ESAF) is employed in some regulatory contexts.
Barbara L. Parsons, Marc A. Beal, Kerry L. Dearfield, George R. Douglas, Min Gi, B. Bhaskar Gollapudi, Robert H. Heflich, Katsuyoshi Horibata, Michelle Kenyon, Alexandra S. Long, David P. Lovell, Anthony M. Lynch, Meagan B. Myers, Stefan Pfuhler, Alisa Vespa, Andreas Zeller, George E. Johnson, Paul A. White   +17 more
wiley   +1 more source

Are physiological oscillations physiological?

The Journal of Physiology, EarlyView., 2023
Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
wiley   +1 more source

Dual Solutions of Unsteady Mixed Convection Hybrid Nanofluid Flow Past a Vertical Riga Plate with Radiation Effect

Mathematics, 2023
A mathematical model for the unsteady, two-dimensional mixed convection stagnation point flow over a Riga plate is presented in this study. Convective boundary conditions, time-dependent derivatives, mixed convection, radiation effects, and the Grinberg ...
Rusya Iryanti Yahaya, N. Arifin, I. Pop, F. Ali, S. Isa   +4 more
semanticscholar   +1 more source

A Symbolic Algorithm for Computing Recursion Operators of Nonlinear PDEs [PDF]

International Journal of Computer Mathematics, vol. 87(5), pp. 1094-119 (2010), 2009
A recursion operator is an integro-differential operator which maps a generalized symmetry of a nonlinear PDE to a new symmetry. Therefore, the existence of a recursion operator guarantees that the PDE has infinitely many higher-order symmetries, which is a key feature of complete integrability.
arxiv   +1 more source

Dynamical Behaviors and Abundant New Soliton Solutions of Two Nonlinear PDEs via an Efficient Expansion Method in Industrial Engineering

Mathematics
In this study, we discuss the dynamical behaviors and extract new interesting wave soliton solutions of the two significant well-known nonlinear partial differential equations (NPDEs), namely, the Korteweg–de Vries equation (KdVE) and the Jaulent–Miodek ...
Ibrahim Alraddadi, M. A. Chowdhury, M. S. Abbas, K. El-Rashidy, J. Borhan, M. M. Miah, Mohammad Kanan   +6 more
semanticscholar   +1 more source

Continuous Adjoint to Proudman's Formula for Aeroacoustic Shape Optimization

International Journal for Numerical Methods in Fluids, EarlyView.
This paper presents a cost‐efficient framework for aeroacoustic shape optimization by developing the adjoint to Proudman's formula, coupled with the steady‐state RANS equations and the k‐ ω$$ \omega $$ SST turbulence model. The aeroacoustic model and the adjoint solver are initially validated/verified with experimental data/finite differences, before ...
M. Erfan Farhikhteh, E. M. Papoutsis Kiachagias, K. C. Giannakoglou   +2 more
wiley   +1 more source

The decomposition method and Maple procedure for finding first integrals of nonlinear PDEs of any order with any number of independent variables [PDF]

arXiv, 2007
In present paper we propose seemingly new method for finding solutions of some types of nonlinear PDEs in closed form. The method is based on decomposition of nonlinear operators on sequence of operators of lower orders. It is shown that decomposition process can be done by iterative procedure(s), each step of which is reduced to solution of some ...
arxiv  

SDF‐Guided Point Cloud Generation Framework for Mesh‐Free CFD

International Journal for Numerical Methods in Fluids, EarlyView.
This paper presents different methods for generating clouds of points around objects for use with meshless methods in computational fluid dynamics. This image shows the cloud generated around the original ROBIN body. ABSTRACT Meshing is a bottleneck of CFD workflows, especially when complex geometries are considered.
Tao Zhang, George N. Barakos
wiley   +1 more source