8,889 research outputs found
Postcard to Peter V. Karpovich from Ivan Pavlov
Postcard from Dr. Ivan Pavlov to Dr. Peter V. Karpovich.For more information on Peter V. Karpovich, see: https://springfield.as.atlas-sys.com/agents/people/571
During Dr. Peter V. Karpovich's time as a medical student at the Medical Military Academy in Petrograd (1914-1919) he was taught by the internationally renowned physiologist Dr. Ivan P. Pavlov. They remained in contact, and attended the 13th International Physiology Conference at Harvard Medical School together in April of 1929.This postcard can be found on the 16th page of the scrapbook. Translation and Russian transcription provided by Marianna Asatiani
Ivan Petrovich Pavlov
The article is coincided with the anniversary – 80 years after appellation of the nameof I. P. Pavlov to the First Saint Petersburg State Medical University. The paper describes the scientific path of the first Nobel laureate of Russia. The article highlighted the most important achievements in the field of physiology. The article highlighted the pedagogicalactivity of I. P. Pavlov, named his outstanding disciples and followers
In memory of Ivan P. Pavlov
Ivan P. Pavlov was the first Russian Nobel Prize winner, a great scientist, the pride of the national science community and ‘the first physiologist of the world’, as described by his colleagues at an international congress. 22 February 2016 marks 80 years since the death of the Russian scientist, physiologist Ivan Pavlov
Nonlocality and the Inverse Scattering Transform for the Pavlov Equation
As in the case of soliton PDEs in 2+1 dimensions, the evolutionary form of integrable dispersionless multidimensional PDEs is nonlocal, and the proper choice of integration constants should be the one dictated by the associated inverse scattering transform (IST). Using the recently made rigorous IST for vector fields associated with the so-called Pavlov equation v xt + v yy + v x v x y − v y v x x = 0, in this paper we establish the
following. 1. The nonlocal term ∂ x −1 arising from its evolutionary ́ form v t =∞ v x v y − ∂ x −1 ∂ y [v y + v x 2 ] corresponds to the asymmetric integral − x d x . 2. Smooth and well-localized initial data v(x, y, 0) evolve in ́ time developing, +∞ for t > 0, the constraint ∂ y M(y, t) ≡ 0, where M(y, t) = −∞ [v y (x, y, t) + (v x (x, y, t)) 2 ] d x. 3. Because no smooth and well-localized initial data can satisfy such constraint at t = 0, the initial (t = 0+) dynamics of the Pavlov equation cannot be smooth, although, because it was already established, small norm solutions remain regular for all positive times. We expect that the techniques developed in this paper to prove the above results should be successfully used in the study of the nonlocality of other basic examples of integrable dispersionless PDEs in multidimensions
Classification of bi-Hamiltonian pairs extended by isometries
The aim of this article is to classify pairs of the first-order Hamiltonian operators of Dubrovin-Novikov type such that one of them has a non-local part defined by an isometry of its leading coefficient. An example of such a bi-Hamiltonian pair was recently found for the constant astigmatism equation. We obtain a classification in the case of two dependent variables, and a significant new example with three dependent variables that is an extension of a hydrodynamic-type system obtained from a particular solution of the Witten-Dijkgraaf-Verlinde-Verlinde equations
In the Memory of an Outstanding Germanist. Book Review: V. M. Pavlov. Germanic Philology and General Linguistics. N. L. Sukhachev (ed.). SPb.: Nestor-Istoriia Publ., 2016. 384 p.
In the Memory of an Outstanding Germanist. Book Review: V. M. Pavlov.
Germanic Philology and General Linguistics. N. L. Sukhachev (ed.). SPb.: Nestor-Istoriia Publ., 2016. 384 p
On the solutions of the second heavenly and Pavlov equations
We have recently solved the inverse scattering problem for one-parameter families of vector fields, and used this result to construct the formal solution of the Cauchy problem for a class of integrable nonlinear partial differential equations connected with the commutation of multidimensional vector fields, such as the heavenly equation of Plebanski, the dispersionless Kadomtsev-Petviashvili (dKP) equation and the two-dimensional dispersionless Toda (2ddT) equation, as well as with the commutation of one-dimensional vector fields, such as the Pavlov equation. We also showed that the associated Riemann-Hilbert inverse problems are powerful tools to establish if the solutions of the Cauchy problem break at finite time, to construct their longtime behaviour and characterize classes of implicit solutions. In this paper, using the above theory, we concentrate on the heavenly and Pavlov equations, (i) establishing that their localized solutions evolve without breaking, unlike the cases of dKP and 2ddT; (ii) constructing the long-time behaviour of the solutions of their Cauchy problems; (iii)characterizing a distinguished class of implicit solutions of the heavenly equation
ИВАН ПЕТРОВИЧ ПАВЛОВ
The article is coincided with the anniversary – 80 years after appellation of the nameof I. P. Pavlov to the First Saint Petersburg State Medical University. The paper describes the scientific path of the first Nobel laureate of Russia. The article highlighted the most important achievements in the field of physiology. The article highlighted the pedagogicalactivity of I. P. Pavlov, named his outstanding disciples and followers.Статья приурочена к юбилейной дате – 80летию присвоения имени И. П. Павлова Первому СанктПетербургскому государственному медицинскому университету.Отражен научный путь первого Нобелевского лауреатаРоссии. Отмечены важнейшие достижения в области физиологии. Сделан акцент на педагогической деятельности И. П. Павлова, названы его выдающиеся ученикии последователи
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