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Topic: Stefan problem

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	[No title]
		Stefan problem with prescribed convection serves as a mathematical model for the heat transfer and solidification process in the metal casting (see [2, 3]).
		Because in the applied problems both the temperature fields and fluxes are of practical interest, mixed and mixed hybrid finite element schemes appear as important method for its numerical solution.
		We construct a mixed hybrid finite element scheme for a Stefan problem which is a case of moving boundary problem.
	www.maths.tcd.ie /EMIS/journals/LJM/vol13/ila-mml.html (745 words)

	Recent Publications (Site not responding. Last check: 2007-10-18)
		The problem is known to exhibit a variety of non-trivial dynamical scenarios.
		For a one-phase free-boundary problem with kinetics, which is known to generate a rich dynamics, we study evolution of the infinitesimal volume along the trajectories in the attractor.
		For a one-phase free-boundary problem with kinetics, a proof of existence of a compact attractor of finite Hausdorff dimension is outlined.
	www.lib.rpi.edu /~roytbv/papers/recent.html (1125 words)

	[No title]
		The term ""Stefan problem"" is generally used for heat transfer problems with phase-changes such as from the liquid to the solid.
		Stefan problems have some characteristics that are typical of them, but certain problems arising in fields such as mathematical physics and engineering also exhibit characteristics similar to them.
		In hyperbolic Stefan problems, the characteristic features of Stefan problems are present but unlike in Stefan problems, discontinuous solutions are allowed because of the hyperbolic nature of the heat equation.
	www.elsevier.com /framework_products/NFP_csv/nfp-2003oct.csv (15048 words)

	Submissions1
		Through a finite difference method we obtain a discrete problem and we show that the solution of this discrete problem converges to the solution of the discrete problem with temperature condition, when the heat transfer coefficient tends to infinity.
		By means of the well-known relationship between the one-phase supercooled Stefan problem and that one describing the oxygen diffusion-consumption in living tissues, it is possible to analyze more deeply the solution’s behaviour in cases in which blow-up occurs.
		Besides its intrinsic interest as a metaestable phenomenon, this subject is related to a variety of problems, for instance the above cited oxygen diffusion-consumption problem (1.7)-(1.11), or even that corresponding to the filtration of a liquid in a partially saturated porous medium [2].
	www.sci.sdsu.edu /compsci/Cordoba/MiniSym-5.htm (1150 words)

	AMCA: A model for particle dissolution in multi-component alloys by Fred Vermolen (Site not responding. Last check: 2007-10-18)
		This problem is known as a vector valued Stefan problem.
		The well-posedness of the moving boundary problem is investigated using the maximum principle for the parabolic partial differential equation.
		For a Stefan problem with only one component (a scalar Stefan problem), we compare this model to a model with two spatial co-ordinates using finite element calculations, where the particle and cell have different geometry.
	at.yorku.ca /c/a/c/o/08.htm (373 words)

	Alexiades-Solomon book (Site not responding. Last check: 2007-10-18)
		THE ONE-PHASE STEFAN PROBLEM 34 2.1.A Introduction 34 2.1.B The Neumann Solution 36 2.1.C Dimensionless form 37 2.1.D The root @lambda@ vs the Stefan Number 38 2.1.E Example: Melting a slab of ice 40 2.1.F The case of small Stefan Number 43 PROBLEMS 44 2.2.
		THE TWO-PHASE PROBLEM ON A SEMI-INFINITE SLAB 46 2.2.A Problem statement and solution 46 2.2.B Dimensionless form 48 2.2.C Approximations to the root @lambda@ 49 2.2.D Approximating the finite slab case 50 2.2.E Energy content and Stefan Numbers 51 2.2.F Shape of melting and cooling curves 52 2.2.G An example 55 PROBLEMS 56 2.3.
		THE QUASISTATIONARY APPROXIMATION 126 3.1.A Introduction 126 3.1.B One-phase Stefan Problem with imposed temperature 127 3.1.C One-phase Stefan Problem with imposed flux 134 3.1.D The case of convective boundary condition 137 3.1.E Volumetric heating 140 PROBLEMS 141 3.2.
	www.csm.ornl.gov /~vasili/book.toc.html (795 words)

	On the Theory of Partially Solidified Systems
		It seems that, whatever the specific features of the process of generation and evolution of the partially solidified zone, the most important and interesting problem is to describe the distribution particles of both phases in space and time according to their shape and location in a (not necessarily homogeneous) temperature and concentration field.
		Whereas the solution of such a kind of problem is seemingly available for methods employed in physical/engineering/ or geophysical literature it is not the case for analysis based on the weak formulation of all Stefan-like problems.
		Indeed, the enthalpy formulation of the Stefan problem in itself is of great importance in that it leads to a better understanding of the physical nature of the problem.
	fbp.lmc.fc.ul.pt /library/oth-arti/a-rubins.html (1364 words)

	[No title] (Site not responding. Last check: 2007-10-18)
		This is an important skill, since understanding the problem and leaving out the unimportant stuff is the first step to solving it.
		That was quite nice, although we have to try harder to not solve the problems in the presenting phase.
		Problem 10013 was solved quite fast by Mark, problem 10234 was discussed a bit, mainly between Wes, Igor and me. At the end, we switched to problem 306 and had some different approaches.
	www.cs.ubc.ca /~acmprog/bfc/meetings/sp020228.txt (468 words)

	On Hysteresis and Free Boundary Problems
		Even if the applied interest of this problem is limited, its mathematical relevance is quite large as a typical model where new theoretical and numerical methods have been developed and tested as a starting point for the analysis of more complicated problems.
		Over the past two decades, the development of free boundary problems has enlarged the scope of this interdisciplinary research topic up to a point where now is almost impossible to cover all the literature.
		However the number of works on free boundary problems has increased and it is then natural to discuss the question if there should exists or not a new mathematical journal devoted exclusively to this interdisciplinary topic.
	fbp.lmc.fc.ul.pt /library/oth-arti/a-jfr-n3.html (639 words)

	Stefan problem (Site not responding. Last check: 2007-10-18)
		The two-dimensional Stefan problem (6) in chapter 1 describes the transition between two phases of a material, e.g.
		Two-phase Stefan problems of this form are arising in the simulation of the heat conduction in a substance undergoing a change of pase at the nominal phase change temperature
		The spatial problems at the different time levels are similar to those solved in the obstacle problem 3.3.3.1.
	www.zib.de /Numerik/numsoft/kaskade/node37.html (173 words)

	[No title]
		A priori error estimates in H1 and H2-norms for Galerkin approximations to a single phase nonlinear Stefan problem in one space dimension, IMA J. Numer.
		A priori error estimates for a single-phase quasilinear Stefan problem in one space dimension, IMA J. Numer.
		A priori error estimates for finite element Galerkin approximations to a free boundary problem in polymer technology, CMA Proceedings of Mini-Conference on `Free and Moving Boundary and Diffusion Problems', Australian National University, Canberra (June 14-16, 1990), R.S. Anderssen, J.M. Hill and A.K. Pani (eds.), CMA Proceedings Vol.
	www.math.iitb.ac.in /~akp/List_of_Publications.htm (1068 words)

	Numerical methods for Stefan problems
		In [NSV:97a], a-posteriori error estimators for the Stefan problem are developed, which give upper bounds for the error in temperature in $L^2(L^2)$ and for the error in enthalpy in $L^\infty(H^{-1})$.
		The continuous casting problem is a Stefan problem with given, dominant convection.
		In contrast to the classical Stefan problem, the temperature at the phase boundary does not necessarily coincide with the melting temperature of the substance.
	www.mathematik.uni-freiburg.de /IAM/Research/projectsdz/stefan/Eindex.html (433 words)

	1.6.2 Freezing of a square solid: the two-dimensional Stefan problem (Site not responding. Last check: 2007-10-18)
		Heat conduction problems involving latent heat effects occur often in practice (examples are metal casting and permafrost meltout) but are not simple to solve.
		The problem is the two-dimensional Stefan problem (Figure 1.6.2–1): a square block of material is initially liquid, just above the freezing temperature.
		Since the actual problem involves discontinuities along surfaces moving through the mesh, the best we can do with a fixed grid of simple elements is to use a fine mesh of lowest-order elements, thus providing a high number of gradient discontinuity surfaces.
	www.rz.uni-karlsruhe.de /rz/docs/ABAQUS/Documentation/docs/v6.5/books/bmk/ch01s06ach54.html (861 words)

	Offline Explorer Pro : problem running multiple instances of OE (9/29/2005 6:30:00 AM)
		Re: problem running multiple instances of OE Something is still not 100% correct, I now had it happen again, that calling it up with the /Instance parameter took over a running OE instance instead of creating a new one (I am now running the SR2 release from today).
		Re: problem running multiple instances of OE I have now installed it on the machine where I run these parallel instances and will watch it over the next hour to see if everything is being kept in order.
		Re: problem running multiple instances of OE I have it running now for the last 40 minutes and it seems to work as it should.
	www.metaproducts.com /mp/mpSupport_User_Forums_Message.asp?id=13188 (422 words)

	Abstract for PB-24 (Site not responding. Last check: 2007-10-18)
		A Stefan problem is a problem involving a parabolic differential equation with a moving boundary.
		We study one particular one-dimensional, one phase Stefan problem and two numerical methods for solving it.
		We prove that the boundary curve of the particular Stefan Problem in question is monotone increasing with a derivative that tends to zero as t tends to infinity.
	www.daimi.au.dk /PB/24/PB-24-abstract.html (187 words)

	Abstract of: A vector valued Stefan problem from aluminium industry (Site not responding. Last check: 2007-10-18)
		Dissolution of stoichiometric multi-component particles in ternary alloys is an important process occurring during the heat treatment of as-cast aluminium alloys prior to hot-extrusion.
		In this model an equation is given to determine the position of the particle interface in time, using two diffusion equations which are coupled by nonlinear boundary conditions at the interface.
		Moreover the well-posedness of the moving boundary problem is investigated using the maximum principle for the parabolic partial differential equation.
	db.cwi.nl /rapporten/abstract.php?abstractnr=778 (147 words)

	Publications
		On a three-dimensional convective Stefan problem for a non-newtonian fluid (with J.F. Rodrigues)
		A free boundary problem with convection for the p-Laplacian
		A stationary Stefan problem with convection and nonlinear diffusion
	www.mat.uc.pt /~jmurb/publ.html (362 words)

	VNTL Publishers
		The proposed monograph is devoted to development of the mathematical methods for investigation of nonlinear dynamics of free boundary problems arising in distributed media.
		A theory of interface dynamics of free boundaries is developed for the whole class of non-equilibrium effects, which are reduced to Stefan problem.
		The main attention is paid to conformal mapping in order to describe physical processes, such as crystallization, electro-deposition, formation of structures in chemical reactions, and motion of interfaces of two fluids in hydrodynamic systems with free boundaries.
	vd.litech.net /en?part=43&book=10 (746 words)

	Publications
		The Convexity and Analyticity of the Free Boundary for Stefan Problem, Appl.
		Asymptotic Behavior of Solutions to the Stefan Problem with a Kinetic Condition at the Free Boundary, (with J. Dewynne, S. Howison and J.
		The Stefan Problem with a Kinetic CAondition at the Free Boundary, SIAM J. Math.
	www.csupomona.edu /~wxie/pubs.html (400 words)

	form*Z Forum
		I have recently been having problems working in OpenGL mode with a 700k file.
		Give us as many specifics as possible regarding what you are doing when the problem occurs.
		We are unsure what about your original file might be causing the problem, and we have passed the file on to our developers for further investigation.
	www.formz.com /web_site_2000/content_pages/forum01/discus/messages/16/250.html?992468090 (417 words)

	[No title] (Site not responding. Last check: 2007-10-18)
		Abstract: The nonlinearity in the weak formulation of the generic one-phase Stefan problem has a ''flat portion'' which renders impossible obtaining the convergence of the enthalpy interpolants needed for passing to the limit as we move from the discrete problem (discretized as a gradient flow w.r.t.
		We do, however, succeed in employing Wasserstein distance techniques for proving this convergence and, ultimately, existence of weak solutions for a class of nonlinear problems among which lies the homographic approximation of the Stefan problem.
		Convergence of these weak solutions to the weak solution of the Stefan problem is obtained in parallel to the uniqueness of solution of the approximate problem by an interesting adaptation of a technique due to the authors of [7].
	www.math.cmu.edu /~nw0z/publications/03-CNA-007/007abs (163 words)

	IRC Meeting Log on #berlin
		also stefan and I have been discussing what seems like the next logical step, which is to start building a simple pixel-level bridge to let X apps into a berlin server.
		stefan: Yes, I'm not saying this is wrong, I'm saying that if we were being ignorant, we would have had a single POA for all of Berlin and keep track of all of this ourselves.
		stefan: The problem I see is that once we commit to an interface, it is hard to change it.
	www.fresco.org /irc-logs/meeting-10.html (8278 words)

	Revised baseline problem
		I have a problem when I create a revised baseline (Dimensions 6.0 Motif client).
		The problem is that the path to the workset filename "disappears" for some items in the revised baseline.
		The problem is that the workset filename path is removed when I check the contents in the revised baseline.
	www.cmcrossroads.com /ubbthreads/showthreaded.php?Number=14071 (298 words)

	Abstract of: A conserving discretization for a Stefan problem with an interface reaction at the free boundary (Site not responding. Last check: 2007-10-18)
		Abstract of: A conserving discretization for a Stefan problem with an interface reaction at the free boundary
		Such a model is called a Stefan problem.
		We use the finite element method to solve this problem numerically.
	db.cwi.nl /rapporten/abstract.php?abstractnr=803 (178 words)

	Publications
		J.M. Urbano, A Free Boundary Problem: contributions from modern analysis, in: Proceedings of the European Congress of Mathematics, Progress in Mathematics, Birkhäuser, 2001.
		J.M. Urbano, A singular-degenerate parabolic problem: regularity up to the Dirichlet boundary, in: Free Boundary Problems: Theory and Applications I, 399-410, GAKUTO International Series Mathematical Sciences and Applications 13, 2000.
		J.M. Urbano, On the Stefan problem with convection and nonlinear diffusion in a porous medium, in: Nonlinear Evolution Equations and Their Applications (Ta-tsien Li, Long-Wei Lin, J.F. Rodrigues Eds.), 225-236, World Scientific, Singapore, 1999.
	www.mat.uc.pt /~cmuc2/reports.html (913 words)

	Internal DLA and the Stefan problem, Janko Gravner, Jeremy Quastel
		Internal DLA and the Stefan problem, Janko Gravner, Jeremy Quastel
		We prove that in appropriate regimes the particle density has a hydrodynamic limit which is the one-phase Stefan problem.
		This is then used to study the asymptotic behavior of the occupied set.
	projecteuclid.org /Dienst/UI/1.0/Summarize/euclid.aop/1019160497 (297 words)

	Götz, I.G.; Primicerio, M. : Spherical symmetric...
		This paper deals with the spherically symmetric Stefan problem in three dimensions.The melting temperature satisfies the Gibbs-Thomson law.
		The solution is obtained as a limit of solutions of similar problems containing a small additional kinetic term in the melting temperature.
		Under some structural assumptions we show that the phase-change boundary has at most one discontinuity point $t = T_0$ (see the corresponding result for the planar Stefan problem in the paper of Götz & Zaltzman (1992)).
	www-lit.ma.tum.de /veroeff/html/960.80002.html (207 words)

	Research description
		Luskin and his coworkers (University of Minnesota), I got interested in the approximation of equilibrium states of new materials such as shape memory alloys.
		After modeling, the resulting mathematical problems are of a non-convex variational type.
		use of a nonconforming finite element, and derivation of the first error estimate in a multidimensional case for non-convex variational problems related to shape memory alloys (i.e., convergence rate of the mixture of the deformation gradients) [5]; before this work, only one-dimensional results were available;
	www4.ncsu.edu /eos/users/g/gremaud/WWW/research.html (1029 words)

	Existence, uniqueness, and longtime behavior for a nonlinear Volterra integrodifferential equation (Site not responding. Last check: 2007-10-18)
		The model can be viewed, for instance, as a generalized Stefan problem within the theory of heat conduction in materials with memory.
		The relation defined by \gamma is properly interpreted and generalized in terms of a subdifferential operator associated with \gamma and acting from H^1(\Omega) to its dual space.
		Finally, under some other restrictions on~\gamma, the longtime behavior of the solution is investigated, in a more specific context related to the generalized Stefan problem.
	exlibris.imati.cnr.it /Dienst/UI/2.0/Describe/ercim.cnr.ian/1998-1083?tiposearch=cnr&langver= (186 words)

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