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Investigation of a Drug Release Moving Boundary Problem in a Swelling Polymeric Device
This paper considers a drug delivery polymeric device in contact with a solvent as a nonlinear moving boundary problem. In this problem, the drug...
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Singularity Formation in an Incompressible Boundary Layer on an Upstream Moving Wall under Given External Pressure
AbstractThe two-dimensional laminar flow of a viscous incompressible fluid over a flat surface is considered at high Reynolds numbers. The influence...
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A novel hybrid method based cubic B-spline for one-dimensional Stefan problem with moving PCM, size-dependent thermal conductivity and periodic boundary condition
Phase change materials (PCM) are substances that release and absorb sufficient energy at phase transition to provide useful heat or cooling. Stefan...
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Comoving mesh method for certain classes of moving boundary problems
A Lagrangian-type numerical scheme called the “comoving mesh method” or CMM is developed for numerically solving certain classes of moving boundary...
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Solution to a Two-Dimensional Nonlinear Parabolic Heat Equation Subject to a Boundary Condition Specified on a Moving Manifold
AbstractThis paper is devoted to the study of a degenerating parabolic heat equation with nonlinearities of a general type in the presence of a...
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On the numerical solution of a class of variable coefficients parabolic moving boundary problems
This study deals with a class of variable coefficients second-order parabolic moving boundary problems. The evolution of the domain is considered to...
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Solvability of a boundary value problem for steady Stokes equations in a sectorial domain
We investigate a boundary value problem for steady Stokes equations in a sectorial domain. The problem appears in the analysis of a free boundary...
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Solution of a Two Dimensional Thermoelastic Problem Due to an Exponentially Distributed Temperature at the Boundary in Presence of a Moving Heat Source
This paper presents a study on a two dimensional thermoelastic problem involving isotropic, homogeneous half-space media with a moving heat source....
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Boundary Values in the Geometric Function Theory in Domains with Moving Boundaries
This article addresses the problem of boundary correspondence for a sequence of homeomorphisms that change the capacity of a condenser in...
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Stabilization of an Axially Moving Euler Bernoulli Beam by an Adaptive Boundary Control
This paper concerns with the stabilization of an axially moving beam by an adaptive boundary control. We prove existence and uniqueness of the...
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Existence Result and Exponential Stabilization of a Moving String with Time Dependent Delay in the Boundary Feedback
This paper aims to study the impact of a time-varying delay on the behavior of boundary stabilzed moving system. Our study is based on a Kirchhoff...
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An Approximate Method for Solving Boundary Value Problems with Moving Boundaries by Reduction to Integro-Differential Equations
AbstractThe problem of vibrations of objects with moving boundaries formulated as a differential equation with boundary and initial conditions is a...
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Existence of Solution of a Free Boundary Problem for Reaction–Diffusion Systems
In this paper, we prove the existence of a solution of a novel free boundary problem for reaction-diffusion systems describing growth of biological...
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On Leray’s problem in an infinitely long pipe with the Navier-slip boundary condition
The original Leray’s problem concerns the well-posedness of weak solutions to the steady incompressible Navier-Stokes equations in a distorted pipe,...
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Divergence Free Functions in a Problem of the Flow Between a Fixed Inner Pipe and an Outer Pipe with a Moving Boundary
The divergence free velocity field for a flow in the annulus between concentric circular pipes with a moving lateral boundary is studied. A...
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On the Variational Statement of One Boundary-Value Problem with Free Interface
With the help of Clebsch’s potentials, we propose a Bateman–Luke-type variational principle for a boundary- value problem with a free (unknown)...
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Numerical Solution to a Free Boundary Problem for the Stokes Equation Using the Coupled Complex Boundary Method in Shape Optimization Setting
A new reformulation of a free boundary problem for the Stokes equations, which govern a viscous flow with an overdetermined condition on the free...
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A Double Phase Problem with a Nonlinear Boundary Condition
In this paper we prove the existence of solutions to a double phase problem with a prescribed nonlinear boundary condition which is nonlinear in...
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On a Boundary Value Problem for a Class of Equations of Mixed Type
AbstractIn this paper we study a nonlocal boundary value problem for Gellerstedt equation with singular coefficient in an unbounded domain. The...
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The Riemann Problem in a Half-Plane for Generalized Analytic Functions with a Supersingular Point on the Contour of the Boundary Condition
AbstractIn this paper, we study an inhomogeneous Riemann boundary value problem with a finite index and a boundary condition on the real axis for a...