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Singular perturbation boundary and interior layers problems with multiple turning points
In the study of singularly perturbed boundary problems with turning points, the solution undergoes sharp changes near these points and exhibits...
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Optimally Controlled Turbulent Boundary Layers in Supersonic Gas Flows
AbstractA variational problem for a conditional extremum of the Mayer type on the construction of the distribution law of the normal component of the...
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A rapidly converging domain decomposition algorithm for a time delayed parabolic problem with mixed type boundary conditions exhibiting boundary layers
A rapidly converging domain decomposition algorithm is introduced for a time delayed parabolic problem with mixed type boundary conditions exhibiting...
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Boundary Layers on the Upper/Lower Surfaces of Reinforced Plates
AbstractThe periodicity-cell problems of homogenization theory, both elastic and thermoelastic, are discussed for a fiber-reinforced plate. A feature...
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Hybridized successive complementary expansions for solving convection-dominated 2D elliptic PDEs with boundary layers
It is well known that the standard discretization methods usually suffer from several numerical instabilities when simulating advection-dominated...
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On the Role of the Displacement Current and the Cattaneo’s Law on Boundary Layers of Plasma
In the present paper, we aim to mathematically analyse the role of the displacement current and the Cattaneo’s law on the boundary-layer theory of...
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Magneto-micropolar boundary layers theory in Sobolev spaces without monotonicity: well-posedness and convergence theory
In this paper, we study the well-posedness theory of the magneto-micropolar boundary layer and justify the high Reynolds numbers limit for the...
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Two-Dimensional Interpolation of Functions by Cubic Splines in the Presence of Boundary Layers
We study interpolation of a function of two variables with large gradients in regions of a boundary layer under the assumption that the Shishkin...
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Computational cost reduction for coupled system of multiple scale reaction diffusion problems with mixed type boundary conditions having boundary layers
In this article, we consider the computational cost reduction of approximating a coupled system of time variant multiscale parameterized problems...
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Multizonal Boundary and Internal Layers in the Singularly Perturbed Problems for a Stationary Equation of Reaction–Advection–Diffusion Type with Weak and Discontinuous Nonlinearity
AbstractA singularly perturbed Dirichlet boundary value problem for a stationary equation of reaction–advection–diffusion type with multiple roots of...
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Numerical Treatment for a Coupled System of Singularly Perturbed Reaction–Diffusion Equations with Robin Boundary Conditions and Having Boundary and Interior Layers
A system of \(k(\ge 2)\) linear singularly perturbed...
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Geometric Singular Perturbation Approach to Poisson-Nernst-Planck Systems with Local Hard-Sphere Potential: Studies on Zero-Current Ionic Flows with Boundary Layers
We examine the dynamics of zero-current ionic flows via Poisson-Nernst-Planck systems with one cation, one anion and boundary layers. To account...
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Fitted mesh numerical method for a coupled system of singularly perturbed reaction-diffusion robin boundary value problem having boundary and internal layers
In the present paper, Robin boundary value problem for a system of singularly perturbed reaction-diffusion equations with discontinuous source term...
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Sensitivity of Reacting Hypersonic Boundary Layers to n-periodic Surface Roughness
Successful design of aerospace missions requires accurate modelling of the physical phenomena in a hypersonic boundary layer. The behaviour of...
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Parallel Implementation of the 16th-Order Multioperator Scheme: Application to Problems of the Instability of Vortices and Boundary Layers
AbstractA family of schemes for the Euler and Navier–Stokes equations is considered based on multioperator approximations of derivatives with the...
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Effects of Streaky Structures on the Instability of Supersonic Boundary Layers
Streaky structures in the boundary layers are often generated by surface roughness elements and/or free-stream turbulence, and are known to have...
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Leading-Edge Receptivity of Moderately Supersonic Boundary Layers to Free-Stream Disturbances
We study the receptivity and resulting global instability of boundary layers due to free-stream vortical and acoustic disturbances at moderately...
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Axisymmetric Thermoelastic Deformation of a Multilayer Foundation with Imperfect Thermal Contact of the Layers
An axisymmetric stationary problem of thermoelasticity for a multilayer foundation with imperfect thermal contact between the layers is solved by the...
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Thermal boundary-layer solutions for forced convection in a porous domain above a flat plate
In this paper we present numerical solutions for thermal boundary layers that are developed during forced convection in a porous medium located above...
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An inverse time-fractional diffusion problem with Robin boundary condition in two layers spherical domain
In this paper, I am interested in the study of the inverse Cauchy boundary value problem for the time-fractional diffusion equation in two layers...