Results 81 to 90 of about 2,003,558 (249)

Analysis of complex nonlinear reaction-diffusion equations [PDF]

, 2008
A mathematical analysis has been carried out for some nonlinear reaction- diffusion equations on open bounded convex domains Ω C R(^d)(d < 3) with Robin boundary conditions- Existence, uniqueness and continuous dependence on initial data of weak and ...
Al-Ofl, Abdalaziz Saleem
core  

Electrodynamic absorber theory [PDF]

, 2010
This work deals with questions that arise in classical and quantum electrodynamics when describing the phenomena of radiation reaction and pair creation. The two guiding ideas are the absorber idea of Wheeler and Feynman (i.e.
Deckert, Dirk-André
core   +1 more source

A Mixed Problem for the Negative Order Nonlinear Modified Korteweg–de Vries Equation with a Special Term

Известия Иркутского государственного университета: Серия "Математика"
In this paper, a mixed problem for the negative order nonlinear modified Korteweg–de Vries (mKdV) equation with a special free term is considered. It is shown that the mixed problem for the negative order nonlinear mKdV equation with a special free term ...
G.U. Urazboev, M. M. Khasanov
doaj   +1 more source

A perspective on parsimonious hybrid models for online use: Augmenting fundamental models with ARIMA disturbances

The Canadian Journal of Chemical Engineering, EarlyView.
Abstract Hybrid models (HMs) combine fundamental model (FM) equations with empirical components. These models can lead to improved predictions because they reduce process/model mismatch and can account for phenomena that are not considered in the FM equations.
Mouna Y. Harb, Kimberley B. McAuley
wiley   +1 more source

Existence of stationary states for nonlinear Dirac equations [PDF]

, 1988
We generalize the previous result of Cazenave and Vasquez on the existence of stationary states for nonlinear Dirac equations of the form i∑μ3 = 0 γμ∂μΨ − mΨ + L(ΨΨ) Ψ = 0.
Merle, F
core   +1 more source

On multiplicity of solutions to nonlinear Dirac equation with local super-quadratic growth

Advances in Nonlinear Analysis
In this article, we study the following nonlinear Dirac equation: −iα⋅∇u+aβu+V(x)u=g(x,∣u∣)u,x∈R3.-i\alpha \hspace{0.33em}\cdot \hspace{0.33em}\nabla u+a\beta u+V\left(x)u=g\left(x,| u| )u,\hspace{1em}x\in {{\mathbb{R}}}^{3}.
Liao Fangfang, Chen Tiantian
doaj   +1 more source

The general integrable inhomogeneous Dirac–Manakov equations: Darboux-dressing transformation and N-soliton solutions

Nuclear Physics B
By means of the zero-curvature equation and two sets of Lenard recursion sequences, we construct a nonisospectral generalized 3 × 3 Ablowitz–Kaup–Newell–Segur (AKNS) integrable hierarchy.
Jiao Wei, Xin Wang, Yanpei Zhen, Chendi Zhu, Tengjin Zhao   +4 more
doaj   +1 more source

The Least Squares Stochastic Finite Element Method in Structural Stability Analysis of Steel Skeletal Structures

International Journal of Applied Mechanics and Engineering, 2015
The main purpose of this work is to verify the influence of the weighting procedure in the Least Squares Method on the probabilistic moments resulting from the stability analysis of steel skeletal structures.
M. Kamiński, J. Szafran
doaj   +1 more source

Nonlinear Dirac equations and nonlinear gauge transformations

, 2003
15 ...
Doebner, H. -D., Zhdanov, R.
openaire   +2 more sources

Multi‐factor coupling effects in hydraulic fracturing of laminated shale: Experimental insights and physics‐informed neural network‐driven optimization

Deep Underground Science and Engineering, EarlyView.
This study establishes a multi‐factor coupling framework for predicting breakdown pressure in laminated shale by integrating experimental hydraulic fracturing tests, physics‐informed neural networks (PINNs), and Sobol sensitivity analysis. It reveals how differential stress, the bedding dip angle, and the injection rate interact to influence fracture ...
Tao Wang, Guoyao Xu, Liyuan Liu, Yao Zhang, Sitao Zhu, Hongyang Chu, Kaikai Zhao   +6 more
wiley   +1 more source