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EconPapers FAQ Archive maintainers FAQ Cookies at EconPapers Format for printing The RePEc blog The RePEc plagiarism page Orbital Stability of Solitary Waves for Generalized Symmetric Regularized-Long-Wave Equations with Two Nonlinear TermsWeiguo Zhang, Xu Chen, Zhengming Li and Haiyan ZhangJournal of Applied Mathematics, 2014, vol. 2014, 1-16Abstract:This paper investigates the orbital stability of solitary waves for the generalized symmetric regularized-long-wave equations with two nonlinear terms and analyzes the influence of the interaction between two nonlinear terms on the orbital stability. Since is not onto, Grillakis-Shatah-Strauss theory cannot be applied on the system directly. We overcome this difficulty and obtain the general conclusion on orbital stability of solitary waves in this paper. Then, according to two exact solitary waves of the equations, we deduce the explicit expression of discrimination and give several sufficient conditions which can be used to judge the orbital stability and instability for the two solitary waves. Furthermore, we analyze the influence of the interaction between two nonlinear terms of the equations on the wave speed interval which makes the solitary waves stable.Date: 2014References: Add references at CitEc Citations: Track citations by RSS feedDownloads: (external link) (application/pdf) (text/xml)Related works:This item may be available elsewhere in EconPapers: Search for items with the same title.Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/TextPersistent link: :hin:jnljam:963987DOI: 10.1155/2014/963987Access Statistics for this articleMore articles in Journal of Applied Mathematics from HindawiBibliographic data for series maintained by Mohamed Abdelhakeem (Obfuscate( '', 'mohamed.abdelhakeem' )). var addthis_config = "data_track_clickback":true; var addthis_share = url:" :hin:jnljam:963987"Share This site is part of RePEc and all the data displayed here is part of the RePEc data set. Is your work missing from RePEc? Here is how to contribute. Questions or problems? Check the EconPapers FAQ or send mail to Obfuscate( '', 'econpapers' ). EconPapers is hosted by the Örebro University School of Business.

Jam Orbital

Most modern electronic devices rely on tiny, finely tuned electrical currents to process and store information. These currents dictate how fast computers run, how regularly pacemakers tick, and how securely money is stored in the bank. Researchers have demonstrated a new way to precisely control such electrical currents by leveraging the interaction between an electron's spin (the quantum magnetic field it inherently carries) and its orbital rotation around the nucleus.

Using a technique called angle-resolved photoemission spectroscopy, the team examined the Mott insulator Sr2lrO4, monitoring the number of electrons, their electrostatic repulsion, and finally the interaction between the electron spin and its orbital rotation. They found that coupling the spin to the orbital angular momentum slows the electrons down to such an extent that they become sensitive to one another's presence, solidifying the traffic jam. Reducing spin-orbit coupling in turn eases the traffic jam. A transition from an insulator to a metal was observed using this strategy.

Anatomic locations of ocular lesions were evaluated both clinically and by reviewing orbital CT or MRI scans. Systemic involvement was determined by clinical manifestations and imaging studies by ultrasound, CT, MRI or PET/CT.

Collected data included demographics, laterality of ocular disease (unilateral or bilateral), systemic involvement of IgG4 disease, ocular structure of involvement (lacrimal gland, orbital soft tissue, extraocular muscle, infraorbital nerve, etc.), presence of recurrent disease, serological results (IgG level at baseline; IgG4 level at baseline, lowest level after initial steroid treatment, during recurrence, and last follow-up), duration of steroid treatment, and total follow-up time.

The lacrimal gland was the most common orbital structure affected in IgG4-ROD in our series and many previous studies [4,9,26,28,29]. Overall, the most frequently involved structure was the lacrimal gland (76%), followed by orbital soft tissue (36%), extraocular muscle (20%) and infraorbital nerve (20%). Although the percentage of ocular lesions varied with each study [4,9,26,28,29], our results were largely consistent with the results of a multicenter study by Goto et al. [28], which showed pathologic lesions in the lacrimal glands (86%), isolated and diffuse orbital lesions (19%), extraocular muscles (21%) and trigeminal nerve (20%). The high percentage of lacrimal gland involvement in IgG4-ROD may also explain why all patients with bilateral disease had lacrimal gland lesions in our study.


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