In this paper we consider one-dimensional two-phase Stefan problems for a class of parabolic equations with nonlinear heat source terms and with nonlinear flux conditions on the fixed boundary. Here, both timedependent and time-independent source terms and boundary conditions are treated. We investigate the large time behavior of solutions to our problems by using the theory for dynamical syste...

In this paper we present a new, accurate form of the heat balance integral method, termed the Combined Integral Method (or CIM). The application of this method to Stefan problems is discussed. For simple test cases the results are compared with exact and asymptotic limits. In particular, it is shown that the CIM is more accurate than the second order, large Stefan number, perturbation solution ...

We develop a lattice Boltzmann method to couple thermal convection and pure-substance melting. The transition from conduction-dominated heat transfer to fully-developed convection is analyzed and scaling laws and previous numerical results are reproduced by our numerical method. We also investigate the limit in which thermal inertia (high Stefan number) cannot be neglected. We use our results t...

The mathematical model of the movement of the shoreline in a sedimentary ocean basin (A Shoreline Problem) is a Stefan problem with variable latent heat. Swenson et al. [1] utilized an analogy with one-phase melting problem and developed a mathematical model for movement of shoreline in a sedimentary basin in response to changes in sediment line flux, tectonic subsidence of Earth's crust and se...

We study certain approximate solutions of a system of equations formulated in an earlier paper (Physica D 43 44–62 (1990)) which in dimensionless form are ut + γw(φ)t = ∇u, α φt = ∇φ+ F (φ, u), where u is (dimensionless) temperature, φ is an order parameter, w(φ) is the temperature– independent part of the energy density, and F involves the φ–derivative of the free-energy density. The constants...

The present document provides an overview of the contributions of individual partners in ACGT WP6. The contributions are as follows: SIB provides datasets based on actual clinical-trial for testing, FhG addresses data mining tools and use of R in a grid environment, LundU addresses database developments and analysis tools based on pathway information, Biovista proposes a literature-based analys...

The classical Stefan problem for freezing (or melting) a sphere is usually treated by assuming that the sphere is initially at the fusion temperature, so that heat flows in one phase only. Even in this idealized case there is no (known) exact solution, and the only way to obtain meaningful results is through numerical or approximate means. In this study, the full two-phase problem is considered...

• Literatur Pádraig Cunningham and David McSherry, editors. Explanation in Case-Based Reasoning. Workshop Proceedings, 2004. http://www.cs.tcd.ie/research_groups/mlg/ ecbrws2004/ David McSherry, editor. Artificial Intelligence Review, special issue on Explanation in Case-Based Reasoning, 24 (2). Springer Netherlands, 2005. Thomas R. Roth-Berghofer, Stefan Schulz, and Andrea Woody, editors. Proc...

which restricts to the given links at the ends. A link is called (topologically) slice if it is concordant to the trivial m–component link or, equivalently, if it bounds a flat embedding of m disjoint slice disks D2 ∐ · · · ∐D2 ֒→ D4. In the special case m = 1 we refer to the link as a knot. If the embeddings above are required to be C, or smooth, then these notions are called smoothly concordan...

Using a scattering technique based on a parametrized linear combination of atomic orbitals Hamiltonian, we calculate the ballistic quantum conductance of multiwall carbon nanotubes. We find that interwall interactions not only block some of the quantum conductance channels, but also redistribute the current nonuniformly over individual tubes across the structure. Our results provide a natural e...