5 research outputs found

    On the bifurcation diagram of the capillary-gravity Whitham equation

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    We study the bifurcation of periodic travelling waves of the capillary-gravity Whitham equation. This is a nonlinear pseudo-differential equation that combines the canonical shallow water nonlinearity with the exact (unidirectional) dispersion for finite-depth capillary-gravity waves. Starting from the line of zero solutions, we give a complete description of all small periodic solutions, unimodal as well bimodal, using simple and double bifurcation via Lyapunov--Schmidt reductions. Included in this study is the resonant case when one wavenumber divides another. Some bifurcation formulas are studied, enabling us, in almost all cases, to continue the unimodal bifurcation curves into global curves. By characterizing the range of the surface tension parameter for which the integral kernel corresponding to the linear dispersion operator is completely monotone (and therefore positive and convex; the threshold value for this to happen turns out to be T=4π2T = \frac{4}{\pi^2}, not the critical Bond number 13\frac{1}{3}), we are able to say something about the nodal properties of solutions, even in the presence of surface tension. Finally, we present a few general results for the equation and discuss, in detail, the complete bifurcation diagram as far as it is known from analytical and numerical evidence. Interestingly, we find, analytically, secondary bifurcation curves connecting different branches of solutions; and, numerically, that all supercritical waves preserve their basic nodal structure, converging asymptotically in L^2(\SM) (but not in LL^\infty) towards one of the two constant solution curves

    Clinical characteristics of 80 subjects with KCNQ2-related encephalopathy: Results from a family-driven survey

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    Variants of KCNQ2 are associated with a wide spectrum of disorders, ranging from Self-limiting Neonatal Epilepsy (SelNE) to Early Onset Developmental and Epileptic Encephalopathy (KCNQ2-DEE). Comorbidities associated with this end of the spectrum have been seldomly described and their impact on the life of patients and their families is yet to be investigated. Collaborating with caregivers from different European family associations, we have developed a questionnaire aimed at investigating the onset and frequency of epileptic seizures, anti-seizure medications (ASM), hospitalizations, stages of development, and comorbidities. Responses from 80 patients, 40 males, from 14 countries have been collected. Median age 7.6 years (4 months - 43.6 years). Of 76 epileptic patients (93.6%), 55.3% were seizure-free with a mean age at last seizure of 26.7 months. Among patients with active epilepsy, those older have a lower frequency of seizures (p > 0.05). We were able to identify three different clusters of varying severity (Mild, Severe, Profound), based on neurodevelopmental features and symptoms, excluding epilepsy. Patients in a higher severity cluster had a higher mean number of comorbidities, which had a higher impact on families. Notably, patients in different clusters presented different epilepsy onset and courses. This study constitutes the most extensive data collection of patients with KCNQ2-DEE, with a focus on comorbidities in a wide age group. The participation of caregivers helps to define the impact of the disease on the lives of patients and families and can help identify new primary and secondary outcomes beyond seizures in future studies

    Umorismo e satira nella letteratura russa. Testi, traduzioni, commenti. Omaggio a Sergio Pescatori

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    raccolta di testi letterari che fornisce un ampio quadro della letteratura russa satirica e umoristica dal settecento ai nostri giorni. I testi sono presentati in traduzione con testo a fronte e seguiti da un commento di carattere storico-letterario e/o linguistico-stilistico e traduttologico

    Lezioni. Per Cinzia De Lotto

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    Il volume è una miscellanea in onore della studiosa e traduttrice di letteratura russa Cinzia De Lotto. I saggi in esso contenuti sono stati idealmente pensati come rivolti a un uditorio universitario, in omaggio alla passione per la didattica che ha sempre contraddistinto De Lotto. Gli argomenti abbracciano e a volte percorrono interdiciplinariamente (ad esempio attraverso la filosofia e l'arte) motivi e aspetti della letteratura/cultura/ lingua russa, francese, spagnola, anglofona, italiana, tedesca e greca.
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