In the discrete case, we show that a family of new conservation laws can be deduced from the basic one, while in the continuous case we show that this is true only for smooth solutions. We also examine how well the continuous model approximates rapidly changing solutions of the discrete ...
In 2023 the German Research Foundation (DFG) established the Priority Programme SPP-2410 Hyperbolic Balance Laws in Fluid Mechanics: Complexity, Scales, Randomness (CoScaRa). In more than twenty sub-projects CoScaRa researchers from mathematics, fluid mechanics and theoretical physics in Germany and ...
In the history of human thought, mathematics and consciousness have always been noticeable themes. As an abstract language, mathematics is considered to be one of the most effective tools to describe the laws of nature. At the same time, as the core of human thinking and perception, consciousne...
Methods for deriving this class of laws are then attempted from the angle of randomization. Finally, discrete analogues of these results are also considered.doi:10.48550/arXiv.math/0604146S SatheeshE SandhyaMathematicsSatheesh, S. and Sandhya, E. (2006c). Semi-selfdecomposable laws in the ...
A Berry,R Krueger,G Simonet - 《Siam Journal on Discrete Mathematics》 被引量: 32发表: 2009年 Enhancing Precise Orbit Determination of Compass with Inter-Satellite Observations This paper puts forward a new concept of Inter-Satellite Observations (ISOs). ISOs can be classified into inside-layer...
Random structures (such as the classical random graphs of Erds and Rényi) are playing an increasingly large role in the theory of computing, as well as in discrete mathematics. The surprising and useful fact that random structures can h... P Winkler - Springer Netherlands 被引量: 41发表: ...
What is CNF and DNF in discrete mathematics? State which of the following sets are finite or infinite: (i) {x : x in N and (x - 1)(x - 2) = 0} (ii) {x : x in N and x^2 = 4} (iii) {x : x in N and 2x - 1 = 0} (iv) {x : x in N and x is prime} (...
We consider random tries and random PATRICIA trees constructed from n independent strings of symbols drawn from any distribution on any discrete space. If H n is the height of this tree, we show that H n/ E{H n} tends to one in probability. Additional tail inequalities are given for the...
Birkhäuser – Your Specialized Publisher in Mathematics Hyperbolic Systems of Conservation Laws The Theory of Classical and Nonclassical Shock Waves O r d e r Fo r m 来自 mendeley.com 喜欢 0 阅读量: 32 作者: VC Basel 年份: 2002
In particular, we allow multiple flux crossings and we do not need any kind of genuine nonlinearity conditions.doi:10.3934/dcds.2011.30.1191Darko MitrovicFaculty of Mathematics University of Montenegro, Cetinjski put bb, 81000 PodgoricaAmerican Institute of Mathematical SciencesDiscrete and Continuous ...