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Navier–Stokes Equations with Regularized Directional Boundary Condition
We consider the steady Navier–Stokes equations in a bounded domain...
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Boundary Layer Solution of the Boltzmann Equation for Specular Boundary Condition
In the paper, we establish the existence of steady boundary layer solution of Boltzmann equation with specular boundary condition in L
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Direct and Inverse Initial Boundary Value Problems for Heat Equation with Non-Classical Boundary Condition
AbstractIn this paper we consider solvability of an initial boundary value problem for the heat equation with a dynamic type boundary condition....
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Maxwell–Stokes system with Robin boundary condition
This paper concerns the Maxwell–Stokes system with either curl-Robin boundary condition or mixed curl-Robin boundary condition. While the curl-Robin...
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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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Boundary controllability for a 1D degenerate parabolic equation with a Robin boundary condition
In this paper, we prove the null controllability of a one-dimensional degenerate parabolic equation with a weighted Robin boundary condition at the...
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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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Polynomial Energy Decay Rate for the Wave Equation with Kinetic Boundary Condition
This paper concerns the polynomial decay of the dissipative wave equation subject to Kinetic boundary condition and non-neglected density in the...
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Mathematical Model of Flow Past a Sphere with Modified Boundary Slip Condition
AbstractThe problem of a slow Stokes flow past a sphere with modified slip condition on its surface is solved. The new boundary condition on the...
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Initial–Boundary Value Problems for Homogeneous Parabolic Systems in a Semibounded Plane Domain and Complementarity Condition
AbstractWe consider initial–boundary value problems for homogeneous parabolic systems with coefficients satisfying the double Dini condition with...
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Gellerstedt Problem with a Nonlocal Parity Boundary Condition
AbstractIn this work, for the Lavrentiev–Bitsadze equation, the problem Gellerstedt with a nonlocal boundary condition in the form of a parity...
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Tricomi Problem for Mixed Parabolic–Hyperbolic Equation with Higher Order Boundary Condition
In this paper, we study an analogue of Tricomi problem for a parabolic–hyperbolic equation. One boundary condition in the parabolic part of the...
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Existence of Solutions for the Laplacian Equation with Exponential Neumann Boundary Condition
In this paper, we consider the Laplacian equation with exponential Neumann boundary condition on a compact Riemann surface Σ with nonempty boundary ∂ Σ...
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Gellerstedt Problem with a Nonlocal Oddness Boundary Condition for the Lavrent’ev–Bitsadze Equation
AbstractWe study the Gellerstedt problem for the Lavrent’ev–Bitsadze equation with the oddness boundary condition on the boundary of the ellipticity...
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Obstacle Problems with Double Boundary Condition for Least Gradient Functions in Metric Measure Spaces
In the setting of a metric space equipped with a doubling measure supporting a (1, 1)-Poincaré inequality, we study the problem of minimizing the...
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Fixed Point Results for the Fractional Nonlinear Problem with Integral Boundary Condition
In this article, we study an integral boundary condition problem. In fact, we consider a new nonlinear fractional integro-differential equation with...
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A sufficient and necessary condition for one dimensional boundary blow-up problem with p-Laplace operator
The existence, uniqueness and asymptotic behavior for one dimensional boundary blow-up problem with p-Laplace operator has been investigated. This...
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Vallée-Poussin theorem for fractional functional differential equations with integral boundary condition
This research paper focuses on the study of a Riemann-Liouville fractional functional differential equation and a linear continuous operator acting...
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The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane
We consider the initial-boundary value problem of the nonlinear Schrödinger equation on the half plane with a nonlinear Neumann boundary condition....
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Approximation of Boundary Condition in Higher Order Grid-Characteristic Schemes
AbstractIn this paper, we consider the problem of constructing a numerical solution to the system of equations of an acoustic medium in a fixed...
