THE INITIAL-BOUNDARY VALUE PROBLEM IN GENERAL RELATIVITY [PDF]
International Journal of Modern Physics D, 2011 In this article we summarize what is known about the initial-boundary value problem for general relativity and discuss present problems related to it.
Reula, Oscar, Sarbach, Olivier
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Initial-boundary value problem to 2D Boussinesq equations for MHD convection with stratification effects [PDF]
, 2017 This paper is concerned with the initial-boundary value problem to 2D magnetohydrodynamics-Boussinesq system with the temperature-dependent viscosity, thermal diffusivity and electrical conductivity.
Dongfen Bian, Jitao Liu
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Solvability of the initial-boundary-value problem for the equations of motion of a viscous compressible fluid [PDF]
, 1980 V. Solonnikov
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The initial boundary value problem and quasi-local Hamiltonians in general relativity [PDF]
Classical and quantum gravity, 2021 We discuss relations between the initial boundary value problem (IBVP) and quasi-local Hamiltonians in GR. The latter have traditionally been based on Dirichlet boundary conditions, which however are shown here to be ill-posed for the IBVP.
Z. An, Michael T. Anderson
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Asymptotic estimations of the solution for a singularly perturbed equation with unbounded boundary conditions [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The paper studies a two-point boundary value problem with unbounded boundary conditions for a linear singularly perturbed differential equation. Asymptotic estimates are given for a linearly independent system of solutions of a homogeneous perturbed ...
N. Atakhan +2 more
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Fourth Order Difference Methods for the Initial Boundary-Value Problem for Hyperbolic Equations [PDF]
, 1974 J. Oliger
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Initial-boundary Value Problem for a Time-fractional Subdiffusion Equation with an Arbitrary Elliptic Differential Operator [PDF]
Lobachevskii Journal of Mathematics, 2020 An initial-boundary value problem for a time-fractional subdiffusion equation with an arbitrary order elliptic differential operator is considered.
R. Ashurov, O. Muhiddinova
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Duhamel-type integral for the initial boundary value problem
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2021 The paper considers the initial boundary value problem for the wave equation for the case of three spatial variables. The definition of a generalized solution is introduced and the existence and uniqueness theorem is proved.
Anikonov Dmitry, Konovalova Dina
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An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4 × 4 Lax pair on the half-line. [PDF]
Chaos, 2017 We extend the idea of the Fokas unified transform to investigate the initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4 × 4 Lax pair on the half-line.
Zhenya Yan
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An Intial-Value Technique for Self-Adjoint Singularly Perturbed Two-Point Boundary Value Problems
International Journal of Applied Mechanics and Engineering, 2020 In this paper, we present an initial value technique for solving self-adjoint singularly perturbed linear boundary value problems. The original problem is reduced to its normal form and the reduced problem is converted to first order initial value ...
P. Padmaja, P. Aparna, R.S.R. Gorla
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