Results 31 to 40 of about 1,215 (98)
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
wiley +1 more source
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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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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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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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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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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Two different fractional Stefan problems which are convergent to the same classical Stefan problem
, 2018 Two fractional Stefan problems are considered by using Riemann-Liouville and Caputo derivatives of order $\alpha \in (0,1)$ such that in the limit case ($\alpha =1$) both problems coincide with the same classical Stefan problem. For the one and the other
Atkinson +26 more
core +1 more source
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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Overdetermined boundary value problems for the $\infty$-Laplacian
, 2009 We consider overdetermined boundary value problems for the $\infty$-Laplacian in a domain $\Omega$ of $\R^n$ and discuss what kind of implications on the geometry of $\Omega$ the existence of a solution may have.
Buttazzo, G., Kawohl, B.
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Non-local diffusion and pulse intervention in a faecal-oral model with moving infected fronts
Advances in Nonlinear AnalysisHow individual dispersal patterns and human intervention behaviours affect the spread of infectious diseases constitutes a central problem in epidemiological research.
Zhou Qi, Pedersen Michael, Lin Zhigui
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