Results 1 to 10 of about 1,451,898 (379)
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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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 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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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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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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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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Strongly nonlinear parabolic initial-boundary value problems [PDF]
Proceedings of the National Academy of Sciences, 1979 An existence and uniqueness result is presented for the solution of a parabolic initial-boundary value problem under Dirichlet null boundary conditions for a general parabolic equation of order 2 m with a strongly nonlinear zeroth-order perturbation.
Brézis, Haïm, Browder, Felix E.
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On initial-value and self-similar solutions of the compressible Euler equations [PDF]
, 1996 We examine numerically the issue of convergence for initial-value solutions and similarity solutions of the compressible Euler equations in two dimensions in the presence of vortex sheets (slip lines).
Pullin, D. I., Samtaney, Ravi
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