A Fitted Scheme for a Caputo Initial-Boundary Value Problem [PDF]
Journal of Scientific Computing, 2018 In this paper we consider an initial-boundary value problem with a Caputo time derivative of order α∈(0,1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
J. Gracia, E. O'Riordan, M. Stynes
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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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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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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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Initial-Boundary Value Problem for Two-Component Gerdjikov–Ivanov Equation with 3 × 3 Lax Pair on Half-Line [PDF]
Journal of Nonlinear Mathematical Physics, 2017 The Fokas unified method is used to analyze the initial-boundary value problem of two-component Gerdjikov–Ivanonv equation on the half-line. It is shown that the solution of the initial-boundary problem can be expressed in terms of the solution of a 3 ...
Qiao-Zhen 巧珍 Zhu 朱 +2 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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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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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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Initial-boundary value problem for distributed order time-fractional diffusion equations [PDF]
Asymptotic Analysis, 2017 We examine initial-boundary value problems for diffusion equations with distributed order time-fractional derivatives. We prove existence and uniqueness results for the weak solution to these systems, together with its continuous dependency on initial ...
Zhi-yuan Li, Yavar Kian, É. Soccorsi
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