On the convergence of multigrid methods for flow problems.
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Displaying 1 – 10 of 10
On the existence of shock propagation in a flow through deformable porous media
E. Comparini, M. Ughi (2002)
Bollettino dell'Unione Matematica Italiana
We consider a one-dimensional incompressible flow through a porous medium undergoing deformations such that the porosity and the hydraulic conductivity can be considered to be functions of the flux intensity. The medium is initially dry and we neglect capillarity, so that a sharp wetting front proceeds into the medium. We consider the open problem of the continuation of the solution in the case of onset of singularities, which can be interpreted as a local collapse of the medium, in the general...
On the geometrical structure of shock waves in general relativity
Marco Modugno, Gianna Stefani (1979)
Annales de l'I.H.P. Physique théorique
On the nonhamiltonian character of shocks in 2-D pressureless gas
Yu. G. Rykov (2002)
Bollettino dell'Unione Matematica Italiana
The paper deals with the 2-D system of gas dynamics without pressure which was introduced in 1970 by Ua. Zeldovich to describe the formation of largescale structure of the Universe. Such system occurs to be an intermediate object between the systems of ordinary differential equations and hyperbolic systems of PDE. The main its feature is the arising of singularities: discontinuities for velocity and d-functions of various types for density. The rigorous notion of generalized solutions in terms of...
On the relation between the Maslov-Whitham method and the weak asymptotics method
V. G. Danilov (2010)
Banach Center Publications
We explain the relation between the weak asymptotics method introduced by the author and V. M. Shelkovich and the classical Maslov-Whitham method for constructing approximate solutions describing the propagation of nonlinear solitary waves.
On the structure of ionizing shock waves in magnetofluiddynamics.
Aghajani, A., Hesaaraki, M. (2002)
International Journal of Mathematics and Mathematical Sciences
On the Transition from Deflagration to Detonation in Narrow Channels
L. Kagan (2010)
Mathematical Modelling of Natural Phenomena
A numerical study of a two-dimensional model for premixed gas combustion in a narrow, semi-infinite channel with no-slip boundary condition is performed. The work is motivated by recent theoretical advances revealing the major role of hydraulic resistance in deflagration-to-detonation transition, one of the central yet still inadequately understood phenomena of gaseous combustion. The work is a continuation and extension of recently reported results over non-isothermal boundary conditions, wider...
On the vanishing viscosity approximation to the Cauchy problem for a 2 × 2 system of conservation laws
Bruno Rubino (1993)
Annales de l'I.H.P. Analyse non linéaire
Ondes de détonation en magnétohydrodynamique relativiste
Mahdy Cissoko (1972)
Annales de l'I.H.P. Physique théorique
Optique géométrique oscillante en présence d'un grand choc
Christophe Cheverry, Monique Sablé-Tougeron (1999)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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