Results 41 to 50 of about 7,153,382 (318)
Boundary Value Problems, 2021 Under the acoustic boundary conditions, the initial boundary value problem of a wave equation with multiple nonlinear source terms is considered. This paper gives the energy functional of regular solutions for the wave equation and proves the decreasing ...
Shoubo Jin, Jian Li
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The Eastwood-Singer gauge in Einstein spaces
, 2008 Electrodynamics in curved spacetime can be studied in the Eastwood--Singer gauge, which has the advantage of respecting the invariance under conformal rescalings of the Maxwell equations.
DeWitt B. S. +6 more
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Abstract and Applied Analysis, 2012 The Bäcklund transformations and abundant exact explicit solutions for a class of nonlinear wave equation are obtained by the extended homogeneous balance method.
Yong Huang, Yadong Shang
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Classification of radial solutions of the focusing, energy-critical wave equation [PDF]
, 2012 In this paper, we describe the asymptotic behaviour of globally defined solutions and of bounded solutions blowing up in finite time of the radial energy-critical focusing non-linear wave equation in three space dimension.
Thomas Duyckaerts, C. Kenig, F. Merle
semanticscholar +1 more source
Higher-order corrections to the short-pulse equation
, 2012 Using renormalization group techniques, we derive an extended short- pulse equation as approximation to a nonlinear wave equation. We investigate the new equation numerically and show that the new equation captures efficiently higher- order effects on ...
Agrawal G P +12 more
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RIPK4 function interferes with melanoma cell adhesion and metastasis
Molecular Oncology, EarlyView.RIPK4 promotes melanoma growth and spread. RIPK4 levels increase as skin lesions progress to melanoma. CRISPR/Cas9‐mediated deletion of RIPK4 causes melanoma cells to form less compact spheroids, reduces their migratory and invasive abilities and limits tumour growth and dissemination in mouse models.
Norbert Wronski +9 more
wiley +1 more source
Modeling of Soliton Behavior in Nonlinear Transmission Line Systems
MathematicsThis study focuses on the nonlinear partial differential equation known as the Lonngren wave equation, which plays a significant role in plasma physics, nonlinear wave propagation, and astrophysical research.
Sadia Medhit +3 more
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Fractional wave equation and damped waves [PDF]
, 2012 In this paper, a fractional generalization of the wave equation that describes propagation of damped waves is considered. In contrast to the fractional diffusion-wave equation, the fractional wave equation contains fractional derivatives of the same ...
Yuri Luchko
semanticscholar +1 more source
The fundamental solution of the unidirectional pulse propagation equation
, 2014 The fundamental solution of a variant of the three-dimensional wave equation known as "unidirectional pulse propagation equation" (UPPE) and its paraxial approximation is obtained.
Brabec T. +5 more
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Age‐Related Characteristics of SYT1‐Associated Neurodevelopmental Disorder
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objectives We describe the clinical manifestations and developmental abilities of individuals with SYT1‐associated neurodevelopmental disorder (Baker‐Gordon syndrome) from infancy to adulthood. We further describe the neuroradiological and electrophysiological characteristics of the condition at different ages, and explore the associations ...
Sam G. Norwitz +3 more
wiley +1 more source