Results 21 to 30 of about 1,323,976 (332)
A one dimensional free boundary problem for adsorption phenomena
Networks and Heterogeneous Media, 2014 In this paper we deal with a one-dimensional free boundary problem, which is a mathematical model for an adsorption phenomenaappearing in concrete carbonation process.
Naoki Sato +3 more
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Exact solution for a two-phase Stefan problem with variable latent heat and a convective boundary condition at the fixed face [PDF]
, 2018 Recently it was obtained in [Tarzia, Thermal Sci. 21A (2017) 1-11] for the classical two-phase Lam\'e-Clapeyron-Stefan problem an equivalence between the temperature and convective boundary conditions at the fixed face under a certain restriction ...
Bollati, Julieta, Tarzia, Domingo A.
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Improvement of flatness for vector valued free boundary problems
Mathematics in Engineering, 2020 For a vectorial Bernoulli-type free boundary problem, with no sign assumption on the components, we prove that flatness of the free boundary implies C1,α regularity, as well-known in the scalar case [1, 4].
Daniela De Silva, Giorgio Tortone
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AIMS Mathematics, 2020 In this paper, valuation for a defaultable corporate bond subject to multiple credit rating migration risk and stochastic volatility of interest rate is addressed in the structure framework through a free boundary problem, which is derived by a series of
Zhehao Huang +2 more
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Singular Perturbation Problem in Boundary/Fractional Combustion
, 2015 Motivated by a nonlocal free boundary problem, we study uniform properties of solutions to a singular perturbation problem for a boundary-reaction-diffusion equation, where the reaction term is of combustion type.
Petrosyan, Arshak +2 more
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Free boundary problems in biology [PDF]
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2015 In this paper, I review several free boundary problems that arise in the mathematical modelling of biological processes. The biological topics are quite diverse: cancer, wound healing, biofilms, granulomas and atherosclerosis. For each of these topics, I describe the biological background and the mathematical model, and then proceed to state ...
openaire +3 more sources
A free boundary problem for an attraction–repulsion chemotaxis system
Boundary Value Problems, 2018 In this paper we study an attraction–repulsion chemotaxis system with a free boundary in one space dimension. First, under some conditions, we investigate existence, uniqueness and uniform estimates of the global solution.
Weiyi Zhang, Zuhan Liu, Ling Zhou
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Free boundary value problem for compressible magnetohydrodynamic equations
Electronic Journal of Differential Equations, 2020 In this article we consider a free boundary value problem for barotropic compressible magnetohydrodynamic equations with density-dependent viscosity coefficients.
Huihui Kong, Ruxu Lian
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Networks and Heterogeneous Media, 2022 We consider a one-dimensional free boundary problem describing the migration of diffusants into rubber. In our setting, the free boundary represents the position of the front delimitating the diffusant region.
Kota Kumazaki +2 more
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, 2017 We show local existence and uniqueness of plasma(fluid)-vaccum free boundary problem of magnetohydrodynamic flow in three-dimensional space with infinite depth setting when magnetic field is zero on the free boundary.
Lee, Donghyun
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