free boundary problem
Numerical Solution of a Free Boundary Problem from Heat Transfer by the Second Kind Chebyshev Wavelets
... a free boundary problem from heat transfer to a weakly Singular Volterra integral equation of the first ...and free boundary heat functions along the position axis during the time have ...
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A free boundary problem for an attraction–repulsion chemotaxis system
... the boundary, to obtain their new habitat and improve the living ...the free boundary problem in various environments (see [2, 4–6, 8, 10–13, 18, 19, 30–32, 34, 35, 40, 41, 46, 47, 49, ...a ...
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A free boundary problem arising in the ecological models with N-species
... one-dimensional free boundary problem for quasilinear reaction-diffusion systems arising in the ecological models with N-species, where some of the species are made up of two separated groups and the ...
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A free boundary problem for a reaction diffusion equation appearing in biology
... This works studies a quasilinear, reaction-diffusion type parabolic free boundary problem mod- elling population dynamics. H¨older norm ´a priori estimates are established for the free ...
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The Second-Order Eulerian Derivative of a Shape Functional of a Free Boundary Problem
... Abstract—The Kohn-Vogelius objective functional that evolves from the exterior Bernoulli free boundary problem is be- ing studied. The first-order Eulerian derivative of this functional is being ...
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Analysis of a free boundary problem for tumor growth in a periodic external environment
... a free boundary problem for solid avascular tumor growth in a periodic en- vironment is ...tumor free and proved the existence, uniqueness and stabil- ity of periodic solutions under some ...
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A free boundary problem for a ratio-dependent diffusion predator-prey system
... The criteria for spreading and vanishing are obtained as follows. If the length of the ini- tial occupying area is longer than a critical size for the predators or the length of the initial occupying area is shorter than ...
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A Posteriori Error Estimator for a Front-Fixing Finite Difference Scheme for American Options
... the free boundary problem into a nonlinear problem on a fixed ...unknown boundary is removed by adding a penalty term, again leading to a nonlinear problem posed on a fixed ...
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Spreading-vanishing dichotomy in a degenerate logistic model with general logistic nonlinear term
... a free boundary problem to describe the spreading of species in [, ...the problem in one space dimension and with a homogeneous environ- ment in [] and then extended the conclusions to ...
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Dynamical behaviour of a generalist predator-prey model with free boundary
... In this paper, we consider a free boundary problem describing the invasion of a generalist predator into a prey population. We analytically derive the conditions guaranteeing the existence and ...
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Optimal investment with stopping in finite horizon
... a free boundary problem of a fully nonlinear ...above problem, we convert the above problem to a new free boundary problem of a linear ...
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A diffuse interface model of surfactants in multi phase flow
... Many methods exist for accounting for different classes of surfactants. For insoluble surfac- tants, which are modelled with no bulk presence, one can describe their evolution and be- haviour purely from their ...
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Biological invasion in a predator–prey model with a free boundary
... 2.1 Proofs of the results on global existence and the comparison principle In this section, we first prove the local and global existence results of solution for the free- boundary problem (1). We ...
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Optimal boundary control for the incompressible viscoelastic fluid system
... [6] John C., Wachsmuth D. 2009. Optimal Dirichlet boundary control of stationary Navier-Stokes equations with state constraint. Numerical Functional Analysis and Optimization. 30(11): 1309-1338. [7] Doubova A., ...
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The C-infinity Jet of Non-Concave Manifolds and Lens Rigidity of Surfaces
... the boundary (see Definition ...the boundary. In the example in section 3.1, the boundary is totally geodesic, and nearby geodesics have unbounded length, although each of them hits the ...
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Stability of solitary traveling waves of moderate amplitude with non-zero boundary
... This subsection is mainly concerned with a solitary wave solution tending to a non-zero constant at infinity of (.). Recalling Proposition . and Proposition . in [], we see that, under some parameter conditions, ...
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Chemical reaction and thermal radiation effects on MHD micropolar fluid past a stretching sheet embedded in a non-Darcian porous medium
... MHD free convective fluid flow embedded in a porous medium with time-dependent suction with temperature gradient heat ...Cheng-Minkowycz problem of the triple– diffusive natural convection boundary ...
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UNSTEADY FREE CONVECTIVE FLOW PAST A MOVING VERTICAL POROUS PLATE WITH NEWTONIAN HEATING
... follows . We substitute = 1, 2,..., i N 1 , in equation (10) which constitute a tri-diagonal system of equations, the system can be solved by Thomas algorithm as discussed in (Carnahan et al., 1969). Thus is known ...
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Finite difference approach to the valuation and prepayment strategy of mortgages
... Abstract. This paper studies the value of mortgage contract by assuming the market interest rate follows the Cox-Ingersoll-Ross (CIR) model and correspondingly the borrower’s optimal strategy to make prepayment. The ...
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On the free Boundary of an Annuity Purchase
... Our work is more closely related to work by Hainaut and Deelstra [9]. They con- sider an individual whose retirement wealth is invested in a financial fund which even- tually must be converted into an annuity. The fund ...
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