Results 11 to 20 of about 1,111,656 (279)
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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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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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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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.
europepmc +3 more sources
Bernoulli free-boundary problems in strip-like domains and a property of permanent waves on water of finite depth [PDF]
, 2007 We study weak solutions for a class of free-boundary problems which includes as a special case the classical problem of travelling gravity waves on water of finite depth.
Varvaruca, Eugen
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Some infinite free boundary problems [PDF]
Transactions of the American Mathematical Society, 1979 Let Γ \Gamma be the boundary of an unbounded simply connected region D \mathcal {D} , and let C ( Γ ) \mathcal {C}(\Gamma ) denote the family of all simply connected regions Δ ⊂ D \Delta ...
Tepper, David E., Wildenberg, Gerald
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Free Boundary Formulation for BVPs on a Semi-Infinite Interval and Non-Iterative Transformation Methods [PDF]
, 2014 This paper is concerned with two examples on the application of the free boundary formulation to BVPs on a semi-infinite interval. In both cases we are able to provide the exact solution of both the BVP and its free boundary formulation. Therefore, these
Fazio, Riccardo
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A Nonlocal Free Boundary Problem [PDF]
SIAM Journal on Mathematical Analysis, 2015 Given~$s, \in(0,1)$ and a bounded domain~$ \subset\R^n$, we consider the following minimization problem of $s$-Dirichlet plus $ $-perimeter type $$ [u]_{ H^s(\R^{2n}\setminus( ^c)^2) } + \Per_ \left(\{u>0\}, \right), $$ where~$[ \cdot]_{H^s}$ is the fractional Gagliardo seminorm and $\Per_ $ is the fractional perimeter.
S. Dipierro, O. Savin, E. Valdinoci
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A free boundary focusing problem [PDF]
Proceedings of the American Mathematical Society, 1994 We consider a one-dimensional free boundary problem arising in combustion theory and establish that all solutions are asymptotically equal to a similarity solution which vanishes in a finite time.
Hilhorst, Danielle, Hulshof, Josephus
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An elliptic problem of the Prandtl–Batchelor type with a singularity
Boundary Value Problems, 2023 We establish the existence of at least two solutions of the Prandtl–Batchelor like elliptic problem driven by a power nonlinearity and a singular term. The associated energy functional is nondifferentiable, and hence the usual variational techniques do ...
Debajyoti Choudhuri, Dušan D. Repovš
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