On measure solutions to the zero-pressure gas model and their uniqueness
Li, Jiequan, Warnecke, Gerald (2002)
Proceedings of Equadiff 10
V.M. Soundalgekar (1970)
Publications de l'Institut Mathématique [Elektronische Ressource]
V. M. Soundalgekar (1971)
Matematički Vesnik
Andreas Almqvist, Evgeniya Burtseva, Kumbakonam R. Rajagopal, Peter Wall (2024)
Applications of Mathematics
We consider pressure-driven flow between adjacent surfaces, where the fluid is assumed to have constant density. The main novelty lies in using implicit algebraic constitutive relations to describe the fluid's response to external stimuli, enabling the modeling of fluids whose responses cannot be accurately captured by conventional methods. When the implicit algebraic constitutive relations cannot be solved for the Cauchy stress in terms of the symmetric part of the velocity gradient, the traditional...
Kulasiri, Don, Woodhead, Ian (2005)
Mathematical Problems in Engineering
Sergei Nazarov, Konstantin Pileckas (1993)
Journal für die reine und angewandte Mathematik
Jérôme Lemoine (1997)
Commentationes Mathematicae Universitatis Carolinae
We consider the flow of a non-homogeneous viscous incompressible fluid which is known at an initial time. Our purpose is to prove that, when is smooth enough, there exists a local strong regular solution (which is global for small regular data).
Xuejun Xu, C. O. Chow, S. H. Lui (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
In this paper, a Dirichlet-Neumann substructuring domain decomposition method is presented for a finite element approximation to the nonlinear Navier-Stokes equations. It is shown that the Dirichlet-Neumann domain decomposition sequence converges geometrically to the true solution provided the Reynolds number is sufficiently small. In this method, subdomain problems are linear. Other version where the subdomain problems are linear Stokes problems is also presented.
Xuejun Xu, C. O. Chow, S. H. Lui (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
In this paper, a Dirichlet-Neumann substructuring domain decomposition method is presented for a finite element approximation to the nonlinear Navier-Stokes equations. It is shown that the Dirichlet-Neumann domain decomposition sequence converges geometrically to the true solution provided the Reynolds number is sufficiently small. In this method, subdomain problems are linear. Other version where the subdomain problems are linear Stokes problems is also presented.
Makinde, O.D., Moitsheki, R.J. (2008)
Mathematical Problems in Engineering
Wojciech M. Zajączkowski (1993)
Ewa Zadrzyńska, Wojciech M. Zajączkowski (2003)
Banach Center Publications
In the paper the motion of a fixed mass of a viscous compressible heat conducting fluid is considered. Assuming that the initial data are sufficiently close to an equilibrium state and the external force, the heat sources and the heat flow through the boundary vanish, we prove the existence of a global in time solution which is close to the equilibrium state for any moment of time.
Ewa Zadrzyńska (1999)
Applicationes Mathematicae
The motion of a fixed mass of a viscous compressible heat conducting capillary fluid is examined. Assuming that the initial data are sufficiently close to a constant state and the external force vanishes we prove the existence of a global-in-time solution which is close to the constant state for any moment of time. Moreover, we present an analogous result for the case of a barotropic viscous compressible fluid.
Ewa Zadrzyńska, Wojciech Zajączkowski (1999)
Colloquium Mathematicae
P. Maremonti, V. A. Solonnikov (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Rivkind, L.P., Solonnikov, V.A. (2000)
Portugaliae Mathematica
Paolo Secchi (1992)
Annales de l'I.H.P. Analyse non linéaire
Miloslav Feistauer, Jaromír Horáček, Václav Kučera, Jaroslava Prokopová (2012)
Mathematica Bohemica
The paper deals with numerical simulation of a compressible flow in time-dependent 2D domains with a special interest in medical applications to airflow in the human vocal tract. The mathematical model of this process is described by the compressible Navier-Stokes equations. For the treatment of the time-dependent domain, the arbitrary Lagrangian-Eulerian (ALE) method is used. The discontinuous Galerkin finite element method (DGFEM) is used for the space semidiscretization of the governing equations...
Moshkin, N.P., Yambangwai, D. (2009)
Mathematical Problems in Engineering
Faltas, M.S. (1996)
International Journal of Mathematics and Mathematical Sciences