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APPROXIMATE SOLUTION OF THE PROBLEM OF FLOW IN A FAR PLANE MOMENTUMLESS TURBULENT WAKE
AbstractThe flow in a far plane momentumless turbulent wake is described using a mathematical model obtained from the algebraic Rodi model of...
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Two-Parameter Singular Perturbation Boundary Value Problems Via Quintic B-Spline Method
In this paper, we apply a quintic B-spline method for solving two-parameter second-order singularly perturbed boundary value problems. By using this...
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Contrast structures in the reaction– advection– diffusion problem appearing in a drift–diffusion model of a semiconductor in the case of nonsmooth reaction
AbstractWe consider the boundary-value problem for the singularly perturbed reaction-advection-diffusion equation in the case of a small...
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Two-loop hexa-box integrals for non-planar five-point one-mass processes
We present the calculation of the three distinct non-planar hexa-box topologies for five-point one-mass processes. These three topologies are...
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Mixed boundary conditions and double-trace like deformations in Celestial holography and Wedge-like holography
According to the AdS/CFT dictionary, adding a relevant double-trace deformation f ∫ O 2 to a holographic CFT action is dual to imposing mixed...
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A general stress solution in a plastic region near a traction-free boundary of arbitrary shape under plane-strain conditions
The stress field near voids (or holes, or pores) essentially contributes to the fracture process in metallic and nonmetallic materials. In contrast...
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A numerical scheme based on the collocation and optimization methods for accurate solution of sensitive boundary value problems
Despite the significant advances in the numerical solution of nonlinear boundary value problems, most of the existing methods still encounter with a...
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Solution of the Cauchy Problem for the Wave Equation on a Cone with a Non-Friedrichs Laplacian
AbstractSolutions of the wave equation on a two-dimensional infinite cone are studied. The Laplacian is determined using the theory of extensions...
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Progress in Initial-Boundary Value Problems for Nonlinear Evolution Equations and the Fokas Method
The unified transform method (UTM), also known as the Fokas method [13], provides a novel approach for solving initial-boundary value problems (ibvp)...
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On a Boundary Element Method for a Flow of Viscous Fluid Around a Cylinder
In the classical problem of hydrodynamics, for a cylinder placed in a flow of viscous incompressible fluid, we propose a new version of boundary...
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Stationary Boundary Problems of Coupled Thermoelasticity for a Half-Plane and Their Solution
AbstractUsing the model of coupled thermoelasticity, the boundary value problems of the dynamics of a thermoelastic half-space are solved for plane...
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On Well-Posed Boundary Conditions for the Linear Non-Homogeneous Moment Equations in Half-Space
We investigate the boundary conditions that ensure the well-posedness of the linear non-homogeneous Grad moment equations in half-space. The Grad...
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Semiclassical Einstein equations from holography and boundary dynamics
In this paper, we consider how to formulate semiclassical problems in the context of the AdS/CFT correspondence, based on the proposal of Compere and...
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On the Global Existence for a Class of Compressible Non-Newtonian Fluids with Inhomogeneous Boundary Data
AbstractThis paper is concerned to the study of global existence of weak solutions to a class of compressible non-Newtonian fluids in...
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Free Boundary Problem for a Gas Bubble in a Liquid, and Exponential Stability of the Manifold of Spherically Symmetric Equilibria
We consider the dynamics of a gas bubble immersed in an incompressible fluid of fixed temperature, and focus on the relaxation of an expanding and...
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Existence and stability of a stable stationary solution with a boundary layer for a system of reaction–diffusion equations with Neumann boundary conditions
AbstractWe consider an initial boundary value problem for a singularly perturbed parabolic system of two reaction–diffusion-type equations with...
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TRANSVERSALLY FLOWING FLUID IN A LAMINARY BOUNDARY LAYER ON A PERMEABLE SURFACE
AbstractBehavior of a transversally flowing fluid in a boundary layer on a plate and a wedge is studied using the Faulkner–Scan equation in the...
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Two-Point Convergence of the Stochastic Six-Vertex Model to the Airy Process
In this paper we consider the stochastic six-vertex model in the quadrant started with step initial data. After a long time T , it is known that the...
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Entanglement entropies of an interval for the massless scalar field in the presence of a boundary
We study the entanglement entropies of an interval for the massless compact boson either on the half line or on a finite segment, when either...