On the semigroups of age-size dependent population dynamcis with spatial diffusion.
W.L. Chan, Guo Bao Zhu (1990)
Manuscripta mathematica
Benseridi, H., Dilmi, M. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Hermann Sohr, Wolf von Wahl (1984/1985)
Manuscripta mathematica
Tiange Xu, Tusheng Zhang (2009)
Annales de l'I.H.P. Probabilités et statistiques
In this paper, we establish a small time large deviation principle (small time asymptotics) for the two-dimensional stochastic Navier–Stokes equations driven by multiplicative noise, which not only involves the study of the small noise, but also the investigation of the effect of the small, but highly nonlinear, unbounded drifts.
Grujić, Zoran (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Vít Dolejší (2010)
Kybernetika
We deal with the numerical simulation of a motion of viscous compressible fluids. We discretize the governing Navier–Stokes equations by the backward difference formula – discontinuous Galerkin finite element (BDF-DGFE) method, which exhibits a sufficiently stable, efficient and accurate numerical scheme. The BDF-DGFE method requires a solution of one linear algebra system at each time step. In this paper, we deal with these linear algebra systems with the aid of an iterative solver. We discuss...
Miloslav Feistauer, Jindřich Nečas (1986)
Commentationes Mathematicae Universitatis Carolinae
Lev Sakhnovich (2009)
Open Mathematics
We consider the Knizhnik-Zamolodchikov system of linear differential equations. The coefficients of this system are rational functions. We prove that under some conditions the solution of the KZ system is rational too. We give the method of constructing the corresponding rational solution. We deduce the asymptotic formulas for the solution of the KZ system when the parameter ρ is an integer.
Vsevolod A. Solonnikov, Giuseppe Mulone (1995)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
The solvability of three linear initial-boundary value problems for the system of equations obtained by linearization of MHD equations is established. The equations contain terms corresponding to Hall and ion-slip currents. The solutions are found in the Sobolev spaces with and in anisotropic Holder spaces.
Oldřich John, Jindřich Nečas (1975)
Aplikace matematiky
Okihiro Sawada (2008)
Banach Center Publications
The regularizing rate of solutions to the Keller-Segel equations in the whole space is estimated just as for the heat equation. As an application of these rate estimates, it is proved that the solution is analytic in spatial variables. Spatial analyticity implies that the propagation speed is infinite, i.e., the support of the solution coincides with the whole space for any short time, even if the support of the initial datum is compact.
Stéphane Mischler, Bernst Wennberg (1999)
Annales de l'I.H.P. Analyse non linéaire
Hansson, Anders M. (2005)
International Journal of Mathematics and Mathematical Sciences
Thomas Hudson, Christoph Ortner (2012)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
We investigate the stability of Bravais lattices and their Cauchy–Born approximations under periodic perturbations. We formulate a general interaction law and derive its Cauchy–Born continuum limit. We then analyze the atomistic and Cauchy–Born stability regions, that is, the sets of all matrices that describe a stable Bravais lattice in the atomistic and Cauchy–Born models respectively. Motivated by recent results in one dimension on the stability of atomistic/continuum coupling methods, we analyze...
Thomas Hudson, Christoph Ortner (2011)
ESAIM: Mathematical Modelling and Numerical Analysis
We investigate the stability of Bravais lattices and their Cauchy–Born approximations under periodic perturbations. We formulate a general interaction law and derive its Cauchy–Born continuum limit. We then analyze the atomistic and Cauchy–Born stability regions, that is, the sets of all matrices that describe a stable Bravais lattice in the atomistic and Cauchy–Born models respectively. Motivated by recent results in one dimension on the stability of atomistic/continuum coupling methods,...
Tong Tang, Hongjun Gao (2014)
Annales Polonici Mathematici
We consider the compressible Navier-Stokes-Korteweg (N-S-K) equations. Through a remarkable identity, we reveal a relationship between the quantum hydrodynamic system and capillary fluids. Using some interesting inequalities from quantum fluids theory, we prove the stability of weak solutions for the N-S-K equations in the periodic domain , when N=2,3.
Ph. Blanchard, J. Stubbe, L. Vázquez (1987)
Annales de l'I.H.P. Physique théorique
B. Ducomet (1997)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Leif Arkeryd (2001/2002)
Séminaire Équations aux dérivées partielles
For stationary kinetic equations, entropy dissipation can sometimes be used in existence proofs similarly to entropy in the time dependent situation. Recent results in this spirit obtained in collaboration with A. Nouri, are here presented for the nonlinear stationary Boltzmann equation in bounded domains of with given indata and diffuse reflection on the boundary.
Surulescu, C. (2006)
Acta Mathematica Universitatis Comenianae. New Series