Free boundary problems
Coupled bulk surface free boundary problems arising from a mathematical model of receptor ligand dynamics
... dynamic boundary conditions involving the normal ...dynamic boundary conditions involving the normal derivative is proposed and analysed by Aitchison et ...type free boundary problems ...
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Coupled bulk surface free boundary problems arising from a mathematical model of receptor ligand dynamics
... limiting problems which take the form of free boundary problems posed on the cell ...limiting problems as well as the spatiotemporal distributions of the receptors and ligands in a ...
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Coupled bulk-surface free boundary problems arising from a mathematical model of receptor-ligand dynamics
... the boundary of the bulk ...dynamic boundary conditions of reactive-diffusive type ...dynamic boundary conditions of reactive and reactive-diffusive ...in problems of boundary heat ...
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Fast numerical methods for Bernoulli free boundary problems
... 5. Conclusion. Solutions of the Bernoulli free boundary problem can be effi- ciently computed by the method presented here. Providing a Green’s function is available, the method can be used to solve other ...
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Fast numerical methods for Bernoulli free boundary problems
... 4.3. Example 2. We consider here the problem (1.1-1.4) with Ω consisting of two disks of radius 1, one centered at (-2,2), the one at (2,-2); further, µ = −1/4. The initial boundary is taken as two circles of ...
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Subsolutions of Elliptic Operators in Divergence Form and Application to Two-Phase Free Boundary Problems
... The proof of Theorem 1.2 goes along well-known guidelines and consists in the fol- lowing three steps: to improve the Lipschitz constant of the level sets of u far from F(u), to carry this interior gain to the ...
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Schrödinger-type identity for Schrödinger free boundary problems
... As an application, we established necessary and sufficient conditions for the product of some distributional functions to satisfy the Schrödinger-type identity.. As a consequence, our resu[r] ...
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On the Nusselt Solution of a Nonisothermal Two Fluid Inclined Film Flow
... “Free boundary problems in the theory of thermocapillary convection,” in Free Boundary Problems: Application and Theory, ...
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An H1 Galerkin method for a Stefan problem with a quasilinear parabolic equation in non divergence form
... A Galerkin Method For a Single Phase Nonlinear Stefan Problem with Dirichlet Boundary Conditions, Submitted.. Free-Boundary Problems For Nonlinear Parabolic Equations With Nonlinear Free[r] ...
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Conjugate boundary value problems with functional boundary conditions at resonance
... By constructing a suitable projection scheme and using the coincidence degree theory of Mawhin, we study the existence of solutions for conjugate boundary value problems with functional boundary ...
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On the Construction of Analytic Numerical Approximations for a Class of Coupled Differential Models in Engineering
... Keywords Coupled Diffusion Problems, Coupled Boundary Conditions, Vector Boundary-Value Differential Systems, Sturm-Liouville Vector Problems, Analytic-Numerical Solution.. Introduction [r] ...
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Nontrivial solutions for a boundary value problem with integral boundary conditions
... the boundary conditions in BVP ...multi-point boundary conditions in BVPs as special ...to boundary value problems with integral boundary ...
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Positive solutions for nonlinear singular boundary value problems on the half line
... equation problems that approximate the problem of ...approximate problems is somewhat delicate as is the process of establishing that the solutions to the approximate problems ...
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Boundary Value Problems for Nonlinear Elliptic Equations of Second Order in High Dimensional Domains
... In accordance with the method in the proof of Theorem 3.2, we can prove that the boundary value problem (3.20), (3.21) has a unique solution u x . Denote by u x T u x the mapping from u x ...
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Boundary value problems with regular singularities and singular boundary conditions
... It is natural and convenient to normalize the boundary conditions (2.17) (compare the similar procedure in [13] for classical boundary value problems without singularities). This normalization ...
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Solutions and Green's Functions for Boundary Value Problems of Second-Order Four-Point Functional Difference Equations
... years, boundary value problems BVPs of differential and difference equations have been studied widely and there are many excellent results see Gai et ...the boundary value problems to a class of ...
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Boundary value problems with eigenvalue-dependent boundary and transmission conditions
... the boundary value problem can be characterized by means of a uniquely determined unbounded self-adjoint ...the boundary value problem are determined by the eigenvalues and eigenvec- tors of the ...
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Triple solutions of complementary Lidstone boundary value problems via fixed point theorems
... and boundary value ...Lidstone boundary value problems and several of its particular cases have been the subject matter of numerous in- vestigations, see [, , –] and the references cited ...
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On solution of the integral equations for the potential problems of two circular strips
... boundary value problems of two equal infinite co-axial circular strips in potential In the corresponding Newmann boundary value problems, the governing integral.. equations are of the ty[r] ...
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Study of the asymptotic eigenvalue distribution and trace formula of a second order operator-differential equation
... The purpose of writing this article is to show some spectral properties of the Bessel operator equation, with spectral parameter-dependent boundary condition. This problem arises upon separation of variables in ...
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