Results 131 to 140 of about 96,341 (238)
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We study a class of models for nonlinear acoustics, including the well‐known Westervelt and Kuznetsov equations, as well as a model of Rasmussen that can be seen as a thermodynamically consistent modification of the latter. Using linearization, energy estimates, and fixed‐point arguments, we establish the existence and uniqueness of solutions ...
Herbert Egger, Marvin Fritz
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Complex Representatioin of Field-Forage-Ruminant Relationships using Symmetric Properties of Euler's Formula [PDF]
, 2003 Masataka Shimojo +10 more
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Application of De La Vallée Poussin Type Inequalities to Half‐Linear Euler Type Equations
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The paper is devoted to the application of de la Vallée Poussin type inequalities to half‐linear differential Euler type equations. Four studied equations seen as perturbations of the nonoscillatory Euler equation with the oscillation constant are considered, and a new theorem for the cases where the perturbation is in both terms is presented.
Zuzana Pátíková
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Blowing‐Up Solution of a System of Fractional Differential Equations With Variable Order
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigated the necessary condition for blowing‐up solutions in finite time of the system u′(t)+(1)D0|tα(t)(u(t)−u0)=|v(t)|q,t>0,q>1,v′(t)+(1)D0|tβ(t)(v(t)−v0)=|u(t)|p,t>0,p>1$$ {u}^{\prime }(t)+{}_{(1)}{D}_{0\mid t}^{\alpha (t)}\left(u(t)-{u}_0\right)={\left|v(t)\right|}^q,\kern0.3em t>0,q>1,{v}^{\prime }(t)+{}_{(1)}{D}_{0\mid t}^{\beta ...
Muhammad Rizki Fadillah, Mokhtar Kirane
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Improving approximate vacuum prepared by the adiabatic quantum computation
IET Quantum Communication, Volume 3, Issue 4, Page 214-217, December 2022., 2022 Abstract According to the quantum adiabatic theorem, we can in principle obtain a true vacuum of a quantum system starting from a trivial vacuum of a simple Hamiltonian. In actual adiabatic digital quantum simulation with finite time length and non‐infinitesimal time steps, we can only obtain an approximate vacuum that is supposed to be a superposition
Kazuto Oshima
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The Euler-Maclaurin formula revisited
ANZIAM Journal, 1998 The Euler-Maclaurin summation formula for the approximate evaluation of I = \int 0 1 f ( x ) d x comprises a sum of the form (1/ m )\sum j =0 m -1 f (( j + t ? )/ m ), where 0? t ? ? 1, a second sum whose terms involve the difference between the derivatives of f at the end-points 0 and 1 and a truncation error term expressed as ...
openaire +3 more sources
Uniform Asymptotic Stability of a PDE'S System Arising From a Flexible Robotics Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we investigate the uniform asymptotic stability of a fourth‐order partial differential equation with a fading memory forcing term and boundary conditions arising from a flexible robotics model. To achieve this goal, the model is reformulated in an abstract framework using the C0$$ {C}_0 $$‐semigroup theory.
Tiziana Cardinali +2 more
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IET Renewable Power Generation, Volume 17, Issue 1, Page 199-215, 6 January 2023., 2023 Abstract The accurate prediction and simulation of thermal transients in district heating networks is essential for the meaningful analysis of combined heat and power systems. For this purpose, the focus of this paper lies on the development of a consistent and comprehensive modelling framework that links diverse pipe model categories to specific ...
Xiu Liu, Kai Strunz
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Journal of Applied Crystallography, Volume 55, Issue 6, Page 1475-1487, December 2022., 2022 The magnetization profile and the ensuing magnetic neutron scattering signal from an inhomogeneously magnetized spherical nanoparticle with Néel surface anisotropy are derived analytically.The magnetization profile and the related magnetic small‐angle neutron scattering cross section of a single spherical nanoparticle with Néel surface anisotropy are ...
Michael P. Adams +2 more
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Multiple extensions of a finite Euler's pentagonal number theorem and the Lucas formulas
, 2007 Victor J. W. Guo, Jiang Zeng
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