Results 31 to 40 of about 553,706 (265)

Conservation laws for self-adjoint first order evolution equations

, 2011
In this work we consider the problem on group classification and conservation laws of the general first order evolution equations. We obtain the subclasses of these general equations which are quasi-self-adjoint and self-adjoint.
Bluman G., Bluman G. W., Bozhkov Y., Bozhkov Y. D., Bruzón M. S., Cherniha R., Cunha M. C. C., Dorini F. A., Dorini F. A., Freire I. L., Freire I. L., Gandarias M. L., Gandarias M. L., Gazizov R., Ibragimov N. H., Ibragimov N. H., Ibragimov N. H., Lahno V. I., Nadjafikhah M., Nadjafikhah M., Naz R., Nedeljkov M., Ouhadan A., Popovych R. O., Qu C., Sarrico C. O. R., Sarrico C. O. R., Shen C., Zahran Y. H., Zhdanov R., Zhdanov R.   +30 more
core   +1 more source

A Thermodynamic 3D Model for the Simulation of Diffusion‐Controlled Alloying Processes in Heterogeneous Material Structures

Advanced Engineering Materials, EarlyView.
A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer, Leonhard Holländer, André Langohr, Hans Jürgen Maier   +3 more
wiley   +1 more source

New conservation laws and exact solutions of the special case of the fifth-order KdV equation

Journal of Ocean Engineering and Science, 2022
The current study deals with the Kaup-Kupershmidt (KK) equation to construct formal Lagrangian, conservation laws, and exact solutions. KK is basically a special case of the 5th-order KdV equation. The conservation laws obtained by using the conservation
Arzu Akbulut, Melike Kaplan, Mohammed K.A. Kaabar   +2 more
doaj   +1 more source

Hierarchy of Conservation Laws of Diffusion--Convection Equations

, 2004
We introduce notions of equivalence of conservation laws with respect to Lie symmetry groups for fixed systems of differential equations and with respect to equivalence groups or sets of admissible transformations for classes of such systems.
Anco S. C., Anco S. C., Anco S. C., Bocharov A. V., Cole J. D., Forsyth A. R., Fushchich W. I., Ivanova N., Laplace P.-S., Laplace P.-S., N. Ibragimov H., Ovsiannikov L. V., Sergyeyev A.   +12 more
core   +4 more sources

BMS invariance and the membrane paradigm [PDF]

, 2016
The Bondi-van der Burg-Metzner-Sachs (BMS) group is the asymptotic symmetry group of asymptotically flat spacetime. It is infinite dimensional and entails an infinite number of conservation laws.
Penna, Robert F.
core   +2 more sources

Rafting of Ni‐Based Superalloys Under Multiaxial Load as Understood by Phase‐Field Simulations and Critical Experiments

Advanced Engineering Materials, EarlyView.
Phase‐field simulations coupled with dislocation‐density‐based crystal plasticity modeling reproduce γ′ rafting behavior in single‐crystal Ni‐based superalloys under varied loading conditions. The model captures both macroscopic creep and microscopic morphology evolution, with results matching high‐temperature creep experiments.
Micheal Younan, David Bürger, Gunther Eggeler, Oleg Shchyglo, Ingo Steinbach, Muhammad Adil Ali   +5 more
wiley   +1 more source

Scaling Symmetries and Conservation Laws for Variable-coefficients Nonlinear Dispersive Equations

Trends in Computational and Applied Mathematics, 2019
Scaling symmetries arise in different branches of physics, and symmetry-based approaches are powerful tools for studying scaling-invariant models since they can provide conservation laws that are not obvious by inspection.
Érica M. Silva, Wescley L. Souza
doaj   +1 more source

Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading

Advanced Engineering Materials, EarlyView.
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley   +1 more source

Solving 1D Conservation Laws Using Pontryagin's Minimum Principle [PDF]

, 2016
This paper discusses a connection between scalar convex conservation laws and Pontryagin's minimum principle. For flux functions for which an associated optimal control problem can be found, a minimum value solution of the conservation law is proposed ...
Kang, Wei, Wilcox, Lucas C.
core   +2 more sources

Infrared Nanocrystals for Space Application: Hardness to Irradiations

Advanced Functional Materials, EarlyView.
This article investigates infrared HgTe nanocrystals under X‐ray and ion irradiation, revealing remarkable radiation hardness. It uncovers distinct degradation mechanisms and shows that the nanomaterial outperforms integrated electronics. The results position colloidal nanocrystals as promising candidates for resilient space and harsh‐environment ...
Alexandre Neyret, Dario Mastrippolito, Bingbing Xia, Adrien Khalili, Maxime Lebreton, Giorgia Strobbia, Albin Colle, Marco Paye, Mariarosa Cavallo, Erwan Bossavit, Claire Abadie, Yoann Prado, Debora Pierucci, Victor Parahyba, Francois Coursaget, David Darson, Emrick Briand, Ian Vickridge, Stephane Demiguel, Sebastien Massenot, Jean‐Marc Belloir, Vincent Goiffon, Emmanuel Lhuillier   +22 more
wiley   +1 more source