The topological degree method for equations of the Navier-Stokes type.
Dmitrienko, V.T., Zvyagin, V.G. (1997)
Abstract and Applied Analysis
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Displaying similar documents to “On weak solutions of the equations of motion of a viscoelastic medium with variable boundary.”
The topological degree method for equations of the Navier-Stokes type.
On evolutionary Navier-Stokes-Fourier type systems in three spatial dimensions
Miroslav Bulíček, Roger Lewandowski, Josef Málek (2011)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we establish the large-data and long-time existence of a suitable weak solution to an initial and boundary value problem driven by a system of partial differential equations consisting of the Navier-Stokes equations with the viscosity polynomially increasing with a scalar quantity that evolves according to an evolutionary convection diffusion equation with the right hand side that is merely -integrable over space and time. We also formulate a conjecture concerning...
An extension of Rothe's method to non-cylindrical domains
Komil Kuliev, Lars-Erik Persson (2007)
Applications of Mathematics
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In this paper Rothe’s classical method is extended so that it can be used to solve some linear parabolic boundary value problems in non-cylindrical domains. The corresponding existence and uniqueness theorems are proved and some further results and generalizations are discussed and applied.
Solvability of initial boundary value problems for equations describing motions of linear viscoelastic fluids.
Karazeeva, N.A. (2005)
Journal of Applied Mathematics
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Kuramoto-Sivashinsky equation in domains with moving boundaries.
Cousin, A.T., Larkin, N.A. (2002)
Portugaliae Mathematica. Nova Série
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On the dimension of the attractor for a perturbed 3d Ladyzhenskaya model
Dalibor Pražák, Josef Žabenský (2013)
Open Mathematics
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We consider the so-called Ladyzhenskaya model of incompressible fluid, with an additional artificial smoothing term ɛΔ3. We establish the global existence, uniqueness, and regularity of solutions. Finally, we show that there exists an exponential attractor, whose dimension we estimate in terms of the relevant physical quantities, independently of ɛ > 0.
A regularity result for a solid-fluid system associated to the compressible Navier-Stokes equations
M. Boulakia, S. Guerrero (2009)
Annales de l'I.H.P. Analyse non linéaire
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On nonstationary motion of a compressible barotropic viscous fluid bounded by a free surface
Wojciech M. Zajączkowski
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We consider the motion of a viscous compressible barotropic fluid in bounded by a free surface which is under constant exterior pressure. For a given initial density, initial domain and initial velocity we prove the existence of local-in-time highly regular solutions. Next assuming that the initial density is sufficiently close to a constant, the initial pressure is sufficiently close to the external pressure, the initial velocity is sufficiently small and the external force vanishes...