Results 21 to 30 of about 117 (113)
Compactness estimates for minimizers of the Alt-Phillips functional of negative exponents
Advanced Nonlinear Studies, 2023 We investigate the rigidity of global minimizers u≥0u\ge 0 of the Alt-Phillips functional involving negative power potentials ∫Ω(∣∇u∣2+u−γχ{u>0})dx,γ∈(0,2),\mathop{\int }\limits_{\Omega }(| \nabla u{| }^{2}+{u}^{-\gamma }{\chi }_{\left\{u\gt 0\right\}}){\
De Silva Daniela, Savin Ovidiu
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Evolutionary quasi-variational and variational inequalities with constraints on the derivatives
Advances in Nonlinear Analysis, 2018 This paper considers a general framework for the study of the existence of quasi-variational and variational solutions to a class of nonlinear evolution systems in convex sets of Banach spaces describing constraints on a linear combination of partial ...
Miranda Fernando +2 more
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Regularization and error estimates for an inverse heat problem under the conformable derivative
Open Mathematics, 2018 In this paper we study an inverse time problem for the nonhomogeneous heat equation under the conformable derivative which is a severely ill-posed problem. Using the quasi-boundary value method with two regularization parameters (one related to the error
Vu Ho, O’Regan Donal, Hoa Ngo Van
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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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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 ‐ 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 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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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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Global Solution to a Model of Tumor Invasion [PDF]
, 2020 . This paper deals with a mathematical model which is used to investigate the role of extracellular matrix (ECM) concentration in tumor cell invasion. The model is a system of partial differential equations governing tumor cell density, the tumor cell ...
Guo Zhu, Youshan Tao
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