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Plate Oscillations with Mixed Boundary Conditions
AbstractIn this paper problem with initial conditions for the equation of vibrations of a rectangular plate with mixed boundary conditions is...
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A Modified Brachistochrone Problem with State Constraints and Thrust
AbstractThe problem of maximizing the horizontal coordinate of a mass point moving in a vertical plane driven by gravity, viscous drag, curve...
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Radial integral boundary element method for simulating phase change problem with mushy zone
A radial integral boundary element method (BEM) is used to simulate the phase change problem with a mushy zone in this paper. Three phases, including...
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Reconstruction of Two Functions in the Model of Vibrations of a String One End of Which Is Placed in a Moving Medium
AbstractThe paper considers an inverse problem of determining the coefficients in the model of small transverse vibrations of a homogeneous finite...
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The boundary value problem for the mean field equation on a compact Riemann surface
Let (Σ, g ) be a compact Riemann surface with smooth boundary ∂E, ∆ g be the Laplace-Beltrami operator, and h be a positive smooth function. Using a...
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Construction of an Analytical Solution of the Problem on the Formation of Gas Hydrate in a Porous Mine
In this paper, we propose the mathematical formulation of the problem on injection of a cold gas into a porous medium accompanied by the formation of...
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On the Stefan Problem for a System of Magnetohydrodynamic Boundary Layer Equations with Injection of a Medium Governed by the Ladyzhenskaya Rheological Law
AbstractThe existence of a unique classical solution is proved for the Stefan problem arising in the study of a magnetohydrodynamic boundary layer in...
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Variable Viscosity Effect on Boundary Layer Flow Along Continuously Moving Plate with the Thermal Boundary Condition of the Third Kind
An incompressible and viscous fluid flow past a constant moving plate with convective boundary condition considering the variable viscosity effect is...
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The Solvability of Mixed Value Problem for the First and Second Approximations of One-Dimensional Nonlinear System of Moment Equations with Microscopic Boundary Conditions
The paper gives a derivation of a new one-dimensional non-stationary nonlinear system of moment equations, that depend on the flight velocity and the...
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An Energy Stable Immersed Boundary Method for Deformable Membrane Problem with Non-uniform Density and Viscosity
Membrane problems commonly encountered in engineering and biological applications involve large deformations and complex configurations. Immersed...
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An adaptive boundary algorithm for the reconstruction of boundary and initial data using the method of fundamental solutions for the inverse Cauchy–Stefan problem
In this paper, a recent algorithm, based around the method of fundamental solutions (MFS), for reconstructing boundary data in inverse Stefan...
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Implicit interpolation method for immersed boundary methods
Immersed boundary (IB) methods have been successfully implemented for different applications. This paper focuses on the immersed boundary...
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Application of Homotopy Perturbation Method to Analyzing Thermal Behavior of Moving Longitudinal Fins with Various Profiles
The homotopy perturbation method (HPM) was applied to analyze the thermal behavior of longitudinal radiative-convective moving fins with trapezoidal,...
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Navier-Stokes/Allen-Cahn System with Generalized Navier Boundary Condition
In this paper, we focus on the immiscible compressible two-phase ow described by the coupled compressible Navier-Stokes system and the modi ed...
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Nonclassical Heat Transfer in a Microchannel and a Problem for Lattice Boltzmann Equations
AbstractA one-dimensional problem of heat transfer in a bounded domain (microchannel) filled with rarefied gas is considered. Two molecular beams...
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Moving Water Equilibria Preserving Discontinuous Galerkin Method for the Shallow Water Equations
In this paper, a new well-balanced discontinuous Galerkin (DG) method is proposed for the shallow water equations in the sense of moving-water...
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Features of Numerical Reconstruction of a Boundary Condition in an Inverse Problem for a Reaction–Diffusion–Advection Equation with Data on the Position of a Reaction Front
AbstractA new approach to the reconstruction of a boundary condition in an inverse problem for a nonlinear singularly perturbed...
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Well-posedness of the free boundary problem in incompressible MHD with surface tension
In this paper, we study the two phase flow problem with surface tension in the ideal incompressible magnetohydrodynamics. First, we prove the local...
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Generalized Brinkman Volume Penalization Method for Compressible Flows Around Moving Obstacles
AbstractA Galilean-invariant generalization of the Brinkman volume penalization method (BVPM) for compressible flows, which extends the applicability...
