On the initial-boundary value problem for a Kuramoto-Sinelshchikov type equation
Mathematics in Engineering, 2021 The Kuramoto-Sinelshchikov equation describes the evolution of a phase turbulence in reaction-diffusion systems or the evolution of the plane flame propagation, taking in account the combined influence of diffusion and thermal conduction of the gas on ...
Giuseppe Maria Coclite, Lorenzo di Ruvo
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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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Solvability of the initial-boundary-value problem for the equations of motion of a viscous compressible fluid [PDF]
, 1980 V. A. Solonnikov
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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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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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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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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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The initial-boundary value problem for the Kawahara equation on the half-line [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2018 This paper concerns the initial-boundary value problem of the Kawahara equation posed on the right and left half-lines. We prove the local well-posedness in the low regularity Sobolev space.
M. Cavalcante, Chulkwang Kwak
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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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