A free boundary problem describing the saturated-unsaturated flow in a porous medium. II: Existence of the free boundary in the 3D case.

Marinoschi, Gabriela

Displaying similar documents to “A free boundary problem describing the saturated-unsaturated flow in a porous medium. II: Existence of the free boundary in the 3D case.”

A free boundary problem describing the saturated-unsaturated flow in a porous medium.

Marinoschi, Gabriela (2004)

Abstract and Applied Analysis

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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 $ℝ^{3}$ 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...

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Spagnuolo, Anna Maria, Wright, Steve (2003)

Journal of Applied Mathematics

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On local motion of a compressible barotropic viscous fluid bounded by a free surface

W. Zajączkowski (1992)

Banach Center Publications

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We consider the motion of a viscous compressible barotropic fluid in ℝ³ bounded by a free surface which is under constant exterior pressure, both with surface tension and without it. In the first case we prove local existence of solutions in anisotropic Hilbert spaces with noninteger derivatives. In the case without surface tension the anisotropic Sobolev spaces with integration exponent p > 3 are used to omit the coefficients which are increasing functions of 1/T, where T is the...

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Salvarani, F. (1999)

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On coupled Klein-Gordon-Schrödinger equations with acoustic boundary conditions.

Ha, Tae Gab, Park, Jong Yeoul (2010)

Boundary Value Problems [electronic only]

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On a differential inequality for equations of a viscous compressible heat conducting fluid bounded by a free surface

Ewa Zadrzyńska, Wojciech M. Zajączkowski (1995)

Annales Polonici Mathematici

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We derive a global differential inequality for solutions of a free boundary problem for a viscous compressible heat conducting fluid. The inequality is essential in proving the global existence of solutions.

Hyperbolic boundary value problem with equivalued surface on a domain with thin layer

Fengquan Li, Weiwei Sun (2009)

Applications of Mathematics

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This paper deals with a kind of hyperbolic boundary value problems with equivalued surface on a domain with thin layer. Existence and uniqueness of solutions are given, and the limit behavior of solutions is studied in this paper.

The existence and behavior of solutions for nonlocal boundary problems.

Wang, Yuandi, Zheng, Shengzhou (2009)

Boundary Value Problems [electronic only]

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Temperature-dependent hysteresis in one-dimensional thermovisco-elastoplasticity

Pavel Krejčí, Jürgen Sprekels (1998)

Applications of Mathematics

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In this paper, we develop a thermodynamically consistent description of the uniaxial behavior of thermovisco-elastoplastic materials for which the total stress $σ$ contains, in addition to elastic, viscous and thermic contributions, a plastic component $σ^{p}$ of the form $σ^{p} (x, t) = 𝒫 [ε, θ (x, t)] (x, t)$ . Here $ε$ and $θ$ are the fields of strain and absolute temperature, respectively, and ${𝒫 [\cdot, θ]}_{θ > 0}$ denotes a family of (rate-independent) hysteresis operators of Prandtl-Ishlinskii type, parametrized by the absolute temperature. The system...