Yves Capdeboscq, Michael S. Vogelius (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
We establish an asymptotic representation formula for the steady state voltage perturbations caused by low volume fraction internal conductivity inhomogeneities. This formula generalizes and unifies earlier formulas derived for special geometries and distributions of inhomogeneities.
Saintier, Nicolas (2007)
Electronic Communications in Probability [electronic only]
S. Saitoh (1985)
Matematički Vesnik
Krzysztof Bartecki (2013)
International Journal of Applied Mathematics and Computer Science
Results of transfer function analysis for a class of distributed parameter systems described by dissipative hyperbolic partial differential equations defined on a one-dimensional spatial domain are presented. For the case of two boundary inputs, the closed-form expressions for the individual elements of the 2×2 transfer function matrix are derived both in the exponential and in the hyperbolic form, based on the decoupled canonical representation of the system. Some important properties of the transfer...
Boldea, Costin-Radu (1997)
General Mathematics
Marco Cannone (1997)
Revista Matemática Iberoamericana
We generalize a classical result of T. Kato on the existence of global solutions to the Navier-Stokes system in C([0,∞);L3(R3)). More precisely, we show that if the initial data are sufficiently oscillating, in a suitable Besov space, then Kato's solution exists globally. As a corollary to this result, we obtain a theory of existence of self-similar solutions for the Navier-Stokes equations.
Rafael de la Llave, Enrico Valdinoci (2009)
Annales de l'I.H.P. Analyse non linéaire
El Amrouss, Abdel R., Tsouli, Najib (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Zubelevich, Oleg (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Kumbakonam R. Rajagopal (2023)
Applications of Mathematics
The aim of this short paper is threefold. First, we develop an implicit generalization of a constitutive relation introduced by Korteweg (1901) that can describe the phenomenon of capillarity. Second, using a sub-class of the constitutive relations (implicit Euler equations), we show that even in that simple situation more than one of the members of the sub-class may be able to describe one or a set of experiments one is interested in describing, and we must determine which amongst these constitutive...
Fedorov, V.E. (2005)
Sibirskij Matematicheskij Zhurnal
Fujie, Kentarou, Senba, Takasi (2017)
Proceedings of Equadiff 14
We consider initial boundary problems of a two-chemical substances chemotaxis system. In the four-dimensional setting, it was shown that solutions exist globally in time and remain bounded if the total mass is less than , whereas the solution emanating from some initial data of large magnitude may blows up. This result can be regarded as a generalization of the well-known problem in the Keller–Segel system to higher dimensions. We will compare mathematical structures of the Keller–Segel system...
Dmitry Portnyagin (2003)
Annales Polonici Mathematici
A generalization of the well-known weak maximum principle is established for a class of quasilinear strongly coupled parabolic systems with leading terms of p-Laplacian type.
Göran Wanby (1978)
Mathematica Scandinavica
Hiroshi Isozaki (1993)
Journées équations aux dérivées partielles
Martin Schechter (1992)
Annales Polonici Mathematici
We show that one can drop an important hypothesis of the saddle point theorem without affecting the result. We then show how this leads to stronger results in applications.
Lori Badea (1987)
Numerische Mathematik
Diagana, Toka (2002)
International Journal of Mathematics and Mathematical Sciences
Imed Feki, Ameni Massoudi, Houda Nfata (2018)
Czechoslovak Mathematical Journal
The main purpose of this article is to give a generalization of the logarithmic-type estimate in the Hardy-Sobolev spaces ; , and is the open unit disk or the annulus of the complex space .
Cheng, Yuanji (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]