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.
Oscar Reula, Olivier Sarbach
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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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The initial-boundary value problem for the biharmonic Schrödinger equation on the half-line [PDF]
Communications on Pure and Applied Analysis, 2018 We study the local and global wellposedness of the initial-boundary value problem for the biharmonic Schr\"odinger equation on the half-line with inhomogeneous Dirichlet-Neumann boundary data. First, we obtain a representation formula for the solution of
Turker Ozsari, N. Yolcu
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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 initial boundary value problem for the Boussinesq equation in a Trapezoid [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 This paper considers an initial boundary value problem for a one-dimensional Boussinesq-type equation in a domain, that is, a trapezoid. Using the methods of the theory of monotone operators, we establish theorems on their unique weak solvability in ...
M.T. Jenaliyev +3 more
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Global Unique Solvability of the Initial-Boundary Value Problem for the Equations of One-Dimensional Polytropic Flows of Viscous Compressible Multifluids [PDF]
Journal of Mathematical Fluid Mechanics, 2018 We consider the equations which describe polytropic one-dimensional flows of viscous compressible multifluids. We prove global existence and uniqueness of a solution to the initial-boundary value problem which corresponds to the flow in a bounded space ...
A. Mamontov, D. Prokudin
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Global Well-Posedness of an Initial-Boundary Value Problem for Viscous Non-Resistive MHD Systems [PDF]
SIAM Journal on Mathematical Analysis, 2015 This paper concerns the viscous and non-resistive MHD systems which govern the motion of electrically conducting fluids interacting with magnetic fields.
Zhong Tan, Yanjin Wang
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On Green’s function of Cauchy–Dirichlet problem for hyperbolic equation in a quarter plane
Boundary Value Problems, 2021 The definition of a Green’s function of a Cauchy–Dirichlet problem for the hyperbolic equation in a quarter plane is given. Its existence and uniqueness have been proven. Representation of the Green’s function is given.
Makhmud Sadybekov, Bauyrzhan Derbissaly
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The Green's functions for the Broadwell Model in a half space problem
Networks and Heterogeneous Media, 2006 We study an initial boundary value problem for the Broadwellmodel with a supersonic physical boundary. The Green's function for an initialvalue problem is constructed and its detailed pointwise structure is obtainedthrough the novel decompositions ...
Chiu-Ya Lan, Huey-Er Lin, Shih-Hsien Yu
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Initial-boundary value problem for the time-fractional degenerate diffusion equation
Вестник КазНУ. Серия математика, механика, информатика, 2022 In this paper the initial-boundary value problems for the one-dimensional linear time-fractional diffusion equations with the time-fractional derivative ∂ α t of order α ∈ (0, 1) in the variable t and time-degenerate diffusive coefficients t β with β ≥ 1
A. G. Smadiyeva
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