Results 11 to 20 of about 82 (82)
Free surface flow over an obstacle. Theoretical study of the fluvial case
Abstract and Applied Analysis, Volume 6, Issue 7, Page 413-429, 2001., 2001 The two‐dimensional stationary flow of a fluid over an obstacle lying on the bottom of a stream is discussed. We take into account the gravity and we neglect the effects of the surface tension. An existence theory for the solution of this problem is established by the implicit function theorem, for small obstacles and Froude numbers in an interval ...
D. Boukari, R. Djouadi, D. Teniou
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On nonstandard potentials in a Stefan problem
International Journal of Stochastic Analysis, Volume 3, Issue 2, Page 153-154, 1990., 1990 We report some results on nonstandard potentials and their application to solution of the Stefan problem.
Igor Malyshev
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Surface integrals approach to solution of some free boundary problems ‐ II
International Journal of Stochastic Analysis, Volume 2, Issue 2, Page 91-100, 1989., 1989 This paper is a continuation of the publication [1] where integral equation techniques were applied to the solution of a generalized Stefan problem. The regularization of the corresponding system of nonlinear integral Volterra equations offered here is quite different from that in [1], hence ‐ several new algorithms and numerical experiments.
Igor Malyshev
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The BV solution of the parabolic equation with degeneracy on the boundary
Open Mathematics, 2016 Consider a parabolic equation which is degenerate on the boundary. By the degeneracy, to assure the well-posedness of the solutions, only a partial boundary condition is generally necessary.
Zhan Huashui, Chen Shuping
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Surface integrals approach to solution of some free boundary problems
International Journal of Stochastic Analysis, Volume 1, Issue 4, Page 305-323, 1988., 1988 Inverse problems in which it is required to determine the coefficients of an equation belong to the important class of ill‐posed problems. Among these, of increasing significance, are problems with free boundaries. They can be found in a wide range of disciplines including medicine, materials engineering, control theory, etc.
Igor Malyshev +3 more
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The nonlinear diffusion equation of the ideal barotropic gas through a porous medium
Open Mathematics, 2017 The nonlinear diffusion equation of the ideal barotropic gas through a porous medium is considered. If the diffusion coefficient is degenerate on the boundary, then the solutions may be controlled by the initial value completely, the well-posedness of ...
Zhan Huashui
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On a viscous two-fluid channel flow including evaporation
Open Mathematics, 2018 In this contribution a particular plane steady-state channel flow including evaporation effects is investigated from analytical point of view. The channel is assumed to be horizontal.
Socolowsky Jürgen
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Advances in Nonlinear Analysis, 2023 This article studies the stability of a stationary solution to the three-dimensional Navier-Stokes equations in a bounded domain, where surface tension effects are taken into account.
Watanabe Keiichi
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Short-time existence of a quasi-stationary fluid–structure interaction problem for plaque growth
Advances in Nonlinear Analysis, 2023 We address a quasi-stationary fluid–structure interaction problem coupled with cell reactions and growth, which comes from the plaque formation during the stage of the atherosclerotic lesion in human arteries.
Abels Helmut, Liu Yadong
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Lewy-Stampacchia’s inequality for a pseudomonotone parabolic problem
Advances in Nonlinear Analysis, 2019 The main aim of this paper is to extend to the case of a pseudomonotone operator Lewy-Stampacchia’s inequality proposed by F. Donati [7] in the framework of monotone operators. For that, an ad hoc type of perturbation of the operator is proposed.
Guibé Olivier +3 more
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