Results 31 to 40 of about 536,909 (305)

Self-Adjointness, Symmetries, and Conservation Laws for a Class of Wave Equations Incorporating Dissipation

Abstract and Applied Analysis, 2013
In this work, we study the nonlinear self-adjointness and conservation laws for a class of wave equations with a dissipative source. We show that the equations are nonlinear self-adjoint.
Yang Wang, Long Wei
doaj   +1 more source

Characteristics of Conservation Laws for Difference Equations [PDF]

, 2013
Each conservation law of a given partial differential equation is determined (up to equivalence) by a function known as the characteristic. This function is used to find conservation laws, to prove equivalence between conservation laws, and to prove the ...
A. Mikhailov, A.G. Rasin, A.G. Rasin, A.V. Mikhailov, B.A. Kupershmidt, J. Hietarinta, L. Arriola, L. Martínez Alonso, O.G. Rasin, O.G. Rasin, O.G. Rasin, O.G. Rasin, P.E. Hydon, P.E. Hydon, P.E. Hydon, P.J. Olver, Peter E. Hydon, R. Hirota, S.C. Anco, S.C. Anco, Timothy J. Grant, V.A. Dorodnitsyn, V.A. Dorodnitsyn, V.E. Adler   +23 more
core   +2 more sources

Conservation laws for the Maxwell-Dirac equations with a dual Ohm's law

, 2007
Using a general theorem on conservation laws for arbitrary differential equations proved by Ibragimov, we have derived conservation laws for Dirac's symmetrized Maxwell-Lorentz equations under the assumption that both the electric and magnetic charges ...
Bo Thidé, Ibragimov N. H., Nail H. Ibragimov, Raisa Khamitova, Thidé B.   +4 more
core   +1 more source

Modeling random traffic accidents by conservation laws

Mathematical Biosciences and Engineering, 2020
We introduce a stochastic traffic flow model to describe random traffic accidents on a single road. The model is a piecewise deterministic process incorporating traffic accidents and is based on a scalar conservation law with space-dependent flux ...
Simone Göttlich, Stephan Knapp
doaj   +1 more source

Mitochondrial DNA disorders in neuromuscular diseases in diverse populations

Annals of Clinical and Translational Neurology, EarlyView.
Abstract Neuromuscular features are common in mitochondrial DNA (mtDNA) disorders. The genetic architecture of mtDNA disorders in diverse populations is poorly understood. We analysed mtDNA variants from whole‐exome sequencing data in neuromuscular patients from South Africa, Brazil, India, Turkey and Zambia. In 998 individuals, there were two definite
Fei Gao, Katherine R Schon, Jana Vandrovcova, Özlem Yayıcı Köken, Sharika Raga, Kireshnee Naidu, Maryke Schoonen, Nimita Rani, Pedro Tomaselli, Dipti Baskar, Musambo Kapapa, Ipek Polat, Lindsay A Wilson, Kumarasamy Thangaraj, Uluç Yiş, Bevinahalli N Nandeesh, David Bearden, Michelle Kvalsund, Franclo Henning, Seena Vengalil, Atchayaram Nalini, Claudia F. R. Sobreira, Wilson Marques, Haluk Topoloğlu, Michael G Hanna, Sireesha Yareeda, Venugopalan Y Vishnu, Francois H van der Westhuizen, Izelle Smuts, Surita Meldau, Jo Wilmshurst, Büşranur Çavdarlı, Jeannine Heckmann, Patrick F Chinnery, Rita Horvath   +34 more
wiley   +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

Hydrogel‐Based Capacitive Sensor Model for Ammonium Monitoring in Aquaculture

Advanced Engineering Materials, EarlyView.
Traditional techniques for monitoring aquaculture water quality, particularly ammonium levels, harm fish. This work presents a novel capacitive sensor with an ionic hydrogel transducer to monitor ammonium concentration in real time based on the ammonium‐induced hydrogel dissociation and osmotic pressure. Monitoring aquaculture water quality, especially
Mohammad Mirzaee, Mahdi Askari‐sedeh, Ali Zolfagharian, Mostafa Baghani   +3 more
wiley   +1 more source

The conservation laws of several 2+1 dimensional semi-discrete equations

Partial Differential Equations in Applied Mathematics, 2022
In this paper, we further develop and enrich the results on conservation laws obtained in Zhu (2003) and present two forms of conservation laws in different directions.
Chun-Xia Li, Jun-Xiao Zhao, Jun Zhang, Guo-Fu Yu, Hasi Gegen   +4 more
doaj  

Conservation laws for the classical Toda field theories

, 1993
We have performed some explicit calculations of the conservation laws for classical (affine) Toda field theories, and some generalizations of these models.
Hohler, E. G. B., Olaussen, K.
core   +2 more sources

An Analysis of the invariance and conservation laws of some classes of nonlinear ostrovsky equations and related systems [PDF]

, 2011
A large class of partial differential equations in the modelling of ocean waves are due to Ostrovsky. We determine the invariance properties (through the Lie point symmetry generators) and construct classes of conservation laws for some of the models. In
Fakhar, Kamran, Kara, Abdul Hamid
core   +1 more source