Results 71 to 80 of about 30,513 (305)

Triviality of the 2D stochastic Allen-Cahn equation [PDF]

, 2012
We consider the stochastic Allen-Cahn equation driven by mollified space-time white noise. We show that, as the mollifier is removed, the solutions converge weakly to 0, independently of the initial condition.
H. Weber, Martin Hairer, Hairer, Martin, Marc D. Ryser, M. Hairer, Hendrik Weber, Weber, Hendrik, M. D. Ryser, Ryser, Marc D.   +8 more
core   +1 more source

Nonlinear Fredholm Integral Equation of the Second Kind with Quadrature Methods

Journal of Mathematical Extension, 2010
In this paper, a numerical method for solving the nonlinear Fredholm integral equation is presented. We intend to approximate the solution of this equation by quadrature methods and by doing so, we solve the nonlinear Fredholm integral equation more ...
M. Jafari Emamzadeh, M. Tavassoli Kajani
doaj  

Fostering Innovation: Streamlining Magnetocaloric Materials Research by Digitalization

Advanced Engineering Materials, EarlyView.
Magnetocaloric cooling (MCE) is an environmentally friendly refrigeration method with great potential. Optimizing MCE materials involves the preparation and screening of large quantities of samples, which in turn generates a large amount of data. A digitalization approach is presented that uses ontologies, knowledge graphs, and digital workflows to ...
Simon Bekemeier, Moritz Blum, Luana Caron, Alisa Chirkova, Philipp Cimiano, Basil Ell, Inga Ennen, Michael Feige, Maik Gaerner, Thomas Hilbig, Andreas Hütten, Günter Reiss, Tapas Samanta, Sonja Schöning, Christian Schröder, Lennart Schwan, Chris Taake, Martin Wortmann   +17 more
wiley   +1 more source

A nonlinear wave equation with a nonlinear integral equation involving the boundary value

Electronic Journal of Differential Equations, 2004
We consider the initial-boundary value problem for the nonlinear wave equation $$displaylines{ u_{tt}-u_{xx}+f(u,u_{t})=0,quad xin Omega =(0,1 ...
Thanh Long Nguyen, Tien Dung Bui
doaj  

Asymptotic Integrability of Nonlinear Wave Equations

Radiophysics and Quantum Electronics
We introduce the notion of asymptotic integrability into the theory of nonlinear wave equations. It means that the Hamiltonian structure of equations describing propagation of high-frequency wave packets is preserved by hydrodynamic evolution of the large-scale background wave so that these equations have an additional integral of motion.
openaire   +3 more sources

High‐Temperature Nanoindentation of Metals: Assessing Thermal Drift, Frame Compliance, and Chemical Composition Effects on the Reported Mechanical Properties

Advanced Engineering Materials, EarlyView.
Do not let thermal drift and instrument artifacts deceive high‐temperature nanoindentation results. We compare classical Oliver–Pharr and automatic image recognition analyses across steels and a Ni alloy to quantify these effects. Accounting for artifacts reveals systematic softening with temperature, while Cr and Ni additions boost resistance ...
Velislava Yonkova, Steffen Brinckmann, Ruth Schwaiger   +2 more
wiley   +1 more source

On Nonlinear Integral Inequalities of Gronwall Type in Two Variables

, 2003
In this paper we obtain some new nonlinear integral inequality of Gronwall type involving functions of two independent variables which can be used in the analysis of the behavior of the solutions of some partial differential ...
Kim, Young-Ho, Dragomir, Sever S
core  

Finite to infinite steady state solutions, bifurcations of an integro-differential equation

, 2011
We consider a bistable integral equation which governs the stationary solutions of a convolution model of solid–solid phase transitions on a circle. We study the bifurcations of the set of the stationary solutions as the diffusion coefficient is varied to ...
Grinfeld, Michael, Duncan, D. B., Lord, G. J., Dugald B. Duncan, Duncan, Dugald B.; id_orcid, Grinfeld, M., Gabriel J. Lord, Lord, Gabriel J., Bhowmik, S. K., null null, Samir K. Bhowmik, Michael Grinfeld, Bhowmik, Samir K.   +12 more
core   +1 more source

A Nonlinear Integral Equation Related to Infectious Diseases

Journal of Function Spaces, 2020
In this paper, a nonlinear integral equation related to infectious diseases is investigated. Namely, we first study the existence and uniqueness of solutions and provide numerical algorithms that converge to the unique solution.
Mohamed Jleli, Bessem Samet
doaj   +1 more source

Current Status and Challenges in Data Collection for Aerospace Coatings Deposited by Plasma Spraying

Advanced Engineering Materials, EarlyView.
An innovative approach has been integrated into the GRENAT project to optimize plasma spraying and coating performance. Raw materials are accelerated and melted in the plasma generated by torches, creating coatings. Monitoring sensors collect process data which are combined with ex situ characterization data.
Lila Randriamananjara, Vincent Rat, Quentin Dubreuil, Patrice Valorge, Simon Goutier, Alain Denoirjean, Olivier Messe, Céline Ruelle, Jean‐Philippe Poli   +8 more
wiley   +1 more source