Results 21 to 30 of about 1,145 (77)
Results in Physics, 2021 In the current article, we will apply the scaling invariance technique to find conservation laws (CLs) for the nonlinear Chiral Schrödinger equation (NLCSE) with variable coefficients and the (2+1)-dimensional Maccari system.
Azhar Bashir +5 more
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On Carleman and observability estimates for wave equations on time‐dependent domains
Proceedings of the London Mathematical Society, Volume 119, Issue 4, Page 998-1064, October 2019., 2019 Abstract We establish new Carleman estimates for the wave equation, which we then apply to derive novel observability inequalities for a general class of linear wave equations. The main features of these inequalities are that (a) they apply to a fully general class of time‐dependent domains, with timelike moving boundaries, (b) they apply to linear ...
Arick Shao
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Reconstructing The Moore-Gibson-Thompson Equation
Nonautonomous Dynamical Systems, 2020 We are concerned with the inverse problem of recovering a third order Moore-Gibson-Thompson equation from a single observation of its solution at an arbitrary point.
Al-Khulaifi Waled, Boumenir Amin
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Multiplicity and structures for traveling wave solutions of the Kuramoto‐Sivashinsky equation
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 70, Page 3839-3848, 2004., 2004 The Kuramoto‐Sivashinsky (KS) equation is known as a popular prototype to represent a system in which the transport of energy through nonlinear mode coupling produces a balance between long wavelength instability and short wavelength dissipation. Existing numerical results indicate that the KS equation admits three classes (namely, regular shock ...
Bao-Feng Feng
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The second‐order Klein‐Gordon field equation
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 69, Page 3775-3781, 2004., 2004 We introduce and discuss the generalized Klein‐Gordon second‐order partial differential equation in the Robertson‐Walker space‐time, using the Casimir second‐order invariant operator written in hyperspherical coordinates. The de Sitter and anti‐de Sitter space‐times are recovered by means of a convenient choice of the parameter associated to the space ...
D. Gomes, E. Capelas De Oliveira
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Mathematical Problems in Engineering, Volume 2004, Issue 3, Page 185-195, 2004., 2004 This paper presents an integral solution of the generalized one‐dimensional equation of energy transport with the convective term.The solution of the problem has been achieved by the use of a novel technique that involves generalized derivatives (in particular, derivatives of noninteger orders).
Vladimir V. Kulish
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Open Mathematics, 2019 In this paper we study the asymptotic behavior for a class of stochastic retarded strongly damped wave equation with additive noise on a bounded smooth domain in ℝd. We get the existence of the random attractor for the random dynamical systems associated
Jia Xiaoyao, Ding Xiaoquan
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New singular solutions of Protter′s problem for the 3D wave equation
Abstract and Applied Analysis, Volume 2004, Issue 4, Page 315-335, 2004., 2004 In 1952, for the wave equation,Protter formulated some boundary value problems (BVPs), which are multidimensional analogues of Darboux problems on the plane. He studied these problems in a 3D domain Ω0, bounded by two characteristic cones Σ1 and Σ2,0 and a plane region Σ0. What is the situation around these BVPs now after 50 years?
M. K. Grammatikopoulos +2 more
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On the existence of maximizers for a family of Restriction Theorems
, 2010 We prove the existence of maximizers for a general family of restrictions operators, up to the end-point.
Fanelli, Luca +2 more
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Mathematical Problems in Engineering, Volume 2003, Issue 4, Page 173-179, 2003., 2003 The relationship between the local temperature and the local heat flux has been established for the homogeneous hyperbolic heat equation. This relationship has been written in the form of a convolution integral involving the modified Bessel functions.
Vladimir V. Kulish, Vasily B. Novozhilov
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