Search
Search Results
-
The Hilbert Problem in a Half-plane for Generalized Analytic Functions with a Super-singular Point on the Contour of the Boundary Condition
AbstractIn this paper, we study an inhomogeneous Hilbert boundary value problem with a finite index for one generalized Cauchy–Riemann equation with...
-
Identification of the Boundary Mode in one Thermal Problem Based on the Single-Phase Stefan Model
The process of melting a one-dimensional block of ice by heating it from the left border is considered. A one-dimensional Stefan model is proposed...
-
Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile
We study a one-dimensional one-phase Stefan problem with a Neumann boundary condition on the fixed part of the boundary. We construct the unique...
-
Basic Properties of Solutions of Boundary Value Problem for the Dirac-Wave Operator
We study local and global properties of solutions of the boundary value problem for the Dirac wave operator. This includes explicit formulas, domain...
-
Multiphase Models for Moving Boundary Problems in Biology
We address the modelling of tissue deformation using mixture theory. The governing equations consist of mass and momentum balances for two phases,...
-
Asymptotics of the Solution of an Initial–Boundary Value Problem for the One-Dimensional Klein–Gordon Equation on the Half-Line
AbstractThe initial–boundary value problem for the Klein–Gordon equation on the half-line is considered. It is possible to reduce to this problem...
-
Boundary stabilization of an axially moving system of elasticity with an exponentially bounded external disturbance
This paper discusses the stabilization problem of a tape moving axially between two sets of rollers. We propose a modelization which yields a hybrid...
-
Solvability of a moving contact-line problem with interface formation for an incompressible viscous fluid
We investigate the free-boundary problem of a steadily advancing meniscus in a circular capillary tube. The problem is described using the “interface...
-
Augmented spectral formulation for the Stokes problem with variable viscosity and mixed boundary conditions
This paper deals with the analysis of a new augmented formulation in terms of vorticity, velocity and pressure for the Stokes equations with variable...
-
On a general discrete boundary value problem for an elliptic pseudo-differential equation in a quadrant
We study a general discrete boundary value problem in Sobolev–Slobodetskii spaces in a plane quadrant and reduce it to a system of integral...
-
Development of a computational approach for a space–time fractional moving boundary problem arising from drug release systems
This paper presents an iterative procedure based on an implicit finite difference method to solve a mathematical model of drug delivery from a planar...
-
Exact Controllability of Degenerate Wave Equations with Locally Distributed Control in Moving Boundary Domain
Exact internal controllability of a one-dimensional degenerate wave equation in moving boundary domain where the control acts locally is discussed,...
-
The Global Solution and Blowup of a Spatiotemporal EIT Problem with a Dynamical Boundary Condition
We study a spatiotemporal EIT problem with a dynamical boundary condition for the fractional Dirichlet-to-Neumann operator with a critical exponent....
-
Direct Method of Moving Planes for Tempered Fractional Laplacian Equations
In this paper, we extend the direct method of moving planes to tempered fractional Laplacian equations. To carry out the method, a narrow region...
-
Asymptotic Solution of the Boundary Control Problem for a Burgers-Type Equation with Modular Advection and Linear Gain
AbstractA singularly perturbed periodic problem for a parabolic reaction–diffusion–advection Burgers-type equation with modular advection and linear...
-
Two-Dimensional Boundary Value Problem of Heat Conduction in a Cone with Special Boundary Conditions
AbstractWe consider the boundary value problem of heat conduction in a domain that is an inverted cone, while the boundary conditions contain a...
-
Problem of Controlling a Group of Quadrocopters when Moving along a Given Curve
AbstractThe author considers the problem of positional control of a group of several quadrocopters. The main goal is to transfer this group from a...
-
A high order boundary scheme to simulate complex moving rigid body under im**ement of shock wave
In the paper, we study a high order numerical boundary scheme for solving the complex moving boundary problem on a fixed Cartesian mesh, and...
-
Compact Approximation of a Two-Dimensional Boundary Value Problem for Elliptic Equations of the Second Order with a Discontinuous Coefficient
AbstractFor an elliptic equation of the second order with variable discontinuous coefficients and the right side, a scheme of the fourth order of...
