smooth solution
A finite difference method for the smooth solution of linear Volterra integral equations
... Nevertheless, in practice there are problems which do not fit in the framework of this method. In fact, they do not satisfy the smoothness condition required for the solution. Fortunately, there are some ...
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Approximation to the global solution of generalized Zakharov equations in \(\mathbf{R}^{2}\)
... of smooth solution in one spatial dimen- sion without any small assumption for initial data ...1-soliton solution to Zakharov equation with power law and dual-power law ...1-soliton solution ...
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On global smooth solutions for quantum Zakharov system
... of smooth solution for a generalized Zakharov equation in two dimensional case for small initial data, and proved global existence of smooth solution in one spatial dimension without any small ...
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Variable Separation and Exact Solutions for the Kadomtsev Petviashvili Equation
... global smooth solution and local blow up solution, there are quite a few ...of solution for Landau-Lifishitz equation and Ginzburg-Landau equation and a few equations [4] ...
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On t h e e v o l u t i o n a r yf o r mo f t h ec o n s t r a i n t s in e l e c t r o d y n a m i c s
... unique smooth solution for the geometrically preferred dependent variables (under suitable regularity conditions on the coefficients and source terms) is guaranteed for the linear first order symmetric ...
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Construction of Global Weak Entropy Solution of Initial Boundary Value Problem for Scalar Conservation Laws with Weak Discontinuous Flux
... entropy solution and the boundary entropy condition for the initial-boundary value problem (1), and give a lemma to be used to construct the piecewise smooth solution of ...piecewise smooth ...
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An Introductory View of the Weak Solution of the p Laplacian Equation
... weak solution of (1.1) is smooth, later when we prove the main result, we will need to regularise the problem so that a smooth solution exist, in other words, we will study a sequence of ...
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Nitrosothiols as no donor drugs: Synthesis, mechanistic studies, chemical stability, pharmacological and physiological activity
... It is cleai’ from what has been reported in this thesis that all previous studies of the in vitro release of NO from 5"-nitrosothiols which do not take into account the production of Cu+ ions from adventitious copper ...
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A total variation diminishing high resolution scheme for nonlinear conservation laws
... Abstract In this paper, we propose a novel high resolution scheme for scalar nonlinear hy- perbolic conservation laws. The aim of high resolution schemes is to provide at least second order accuracy in smooth ...
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Surface Roughness of SiGe/Si(110) Formed by Stress Induced Twins and the Solution to Produce Smooth Surface
... Shirakura, M., Yamamoto, C., Utsuyama, N., Sato, K., Yamada, T., Hara, K.O., Ari- moto, K. and Nakagawa, K. (2018) Surface Roughness of SiGe/Si(110) Formed by Stress-Induced Twins and the Solution to Produce ...
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Influence of pH Solution on the Electrodeposition of Tungsten Oxide (WO3) Films onto Indium Tin Oxide (ITO)-glass Substrate
... instrument X’PERT PRO – MPD (with Cu Kα radiation) with the range from 20 o – 70 o at 2θ. The electrochemical properties of the films were characterized by cyclic voltammetry measurements. The experiments were carried ...
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A model for dip coating of a two liquid mixture
... Substituting (2.48) into the numerical solution for s(ξ), we obtain s expressed as a function of x. In Figure 2.3, we plot the solute thickness as a function of the dis- tance from the top of the substrate for a ...
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Variational Formulations Yielding High Order Finite Element Solutions in Smooth Domains without Curved Elements
... Here (1) is supposed to be solved by different N -simplex based finite element methods, incorporating degrees of freedom other than function values at the mesh vertices. For instance, if standard quadratic Lagrange ...
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A New Filled Function method for Smooth Clustering
... Abstract — The mathematical modeling of the clustering centers problem leads to a min-sum-min formulation which, has the significant characteristic of being strongly nondifferentiable. To overcome this difficulty, a new ...
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Permanent-Magnet System Field Distribution on the Surface of Smooth FER Romagnetic Core
... analytical solution of the field problem considering magnetic field of a thin linear conductor placed above smooth ferromagnetic core have been used to analyze the normal component of the flux density ...
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Chitosan as a coupling agent for phosphate glass fibre/polycaprolactone composites
... with CS (with a degree of deacetylation >80%) dissolved in acetic acid solution (2% v/v). Different CS concentrations (3–9 g L −1 ) and coating processes were investigated. Tensile and fragmentation tests were ...
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A New Definition for Generalized First Derivative of Nonsmooth Functions
... In this paper, we defined a new generalized first deriva- tive (GFD) for non-smooth functions as optimal solution of a functional optimization on the interval [0,1]. We approximated this functional ...
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Structure method for solving the nearest Euclidean distance matrix problem
... A matrix with zero diagonal is called a Euclidean distance matrix when the matrix values are measurements of distances between points in a Euclidean space. Because of data errors such a matrix may not be exactly ...
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Equivalence and embedding problems for CR structures of any codimension
... The method of complete system has been successfully applied to other problems related to CR- manifolds [Han97, Hay98, Ki99b, E00] and to related problems in differential geometry [Han89, CHY93, Ki99a, CH00]. In fact, the ...
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Calculating Floquet Multipliers for Periodic Solution of Non smooth Dynamical System
... 𝐴 2 𝑥 + 𝐵 2 , 𝑥 ∈ 𝑉 2 (11) Assume that system (11) has a periodic solution 𝑥 = 𝜑(𝑡, 𝑥 0 ). Without loss of generality, we assume the initial state𝑥 0 of the periodic solution is located at the region 𝑉 1 , ...
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