Results 1 to 10 of about 1,924,298 (375)
Improvement of flatness for vector valued free boundary problems [PDF]
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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An overview of unconstrained free boundary problems. [PDF]
Philos Trans A Math Phys Eng Sci, 2015 In this paper, we present a survey concerning unconstrained free boundary problems of type where B1 is the unit ball, Ω is an unknown open set, F1 and F2 are elliptic operators (admitting regular solutions), and is a functions space to be specified in ...
Figalli A, Shahgholian H.
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Some free boundary problems involving non-local diffusion and aggregation. [PDF]
Philos Trans A Math Phys Eng Sci, 2015 We report on recent progress in the study of evolution processes involving degenerate parabolic equations what may exhibit free boundaries. The equations we have selected follow to recent trends in diffusion theory: considering anomalous diffusion with ...
Carrillo JA, Vázquez JL.
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Free boundary problems: the forefront of current and future developments. [PDF]
Philos Trans A Math Phys Eng Sci, 2015 The term free boundary problem (FBP) refers, in the modern applied mathematical literature, to a problem in which one or several variables must be determined in different domains of the space, or space–time, for which each variable is governed in its ...
Chen GQ, Shahgholian H, Vazquez JL.
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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 ...
A. Friedman
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Ray methods for Free Boundary Problems [PDF]
Quarterly of Applied Mathematics, 2005 We discuss the use of the WKB ansatz in a variety of parabolic problems involving a small parameter. We analyse the Stefan problem for small latent heat, the Black--Scholes problem for an American put option, and some nonlinear diffusion equations, in ...
Addison, J. A. +2 more
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New Trends in Free Boundary Problems [PDF]
Advanced Nonlinear Studies, 2017 We present a series of recent results on some new classes of free boundary problems.Differently from the classical literature, the problems considered have either a “nonlocal” feature (e.g., the interaction or/and the interfacial energy may depend on ...
Dipierro Serena +2 more
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Free boundary problems involving singular weights [PDF]
Communications in Partial Differential Equations, 2016 In this paper we initiate the investigation of free boundary minimization problems ruled by general singular operators with $A_2$ weights. We show existence and boundedness of minimizers.
Lamboley, Jimmy +2 more
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On some Free Boundary Problems of the Prey-predator Model [PDF]
, 2014 In this paper we investigate some free boundary problems for the Lotka-Volterra type prey-predator model in one space dimension. The main objective is to understand the asymptotic behavior of the two species (prey and predator) spreading via a free ...
Wang, Mingxin
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Multidimensional transonic shock waves and free boundary problems
Bulletin of Mathematical Sciences, 2022 We are concerned with free boundary problems arising from the analysis of multidimensional transonic shock waves for the Euler equations in compressible fluid dynamics.
Gui-Qiang G. Chen, Mikhail Feldman
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