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Shoshana Kamin
Shoshana Kamin (, ) (born December 24, 1930),See reference . born Susanna L'vovna Kamenomostskaya (), is a Soviet-born Israeli mathematician, working on the theory of parabolic partial differential equations and related mathematical physics problems. Biography Shoshana Kamin graduated from Moscow University in 1953 and earned her "candidate of science" degree from the same university in 1959, under the supervision of Olga Oleinik. She and her two sons left the Soviet Union in the early 1971. After that she became a professor in Tel Aviv University, where she is now professor emeritus. Contributions In the late 1950s, she gave the first proof of the existence and uniqueness of the generalized solution of the three-dimensional Stefan problem. Her proof was generalised by Oleinik. Later, she made important contributions to the study of the porous medium equation, : \partial_t u = \Delta_x u^m, \,\, m > 1, and to non-linear elliptic equations.See . Selected publications *. Th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Moscow
Moscow is the Capital city, capital and List of cities and towns in Russia by population, largest city of Russia, standing on the Moskva (river), Moskva River in Central Russia. It has a population estimated at over 13 million residents within the city limits, over 19.1 million residents in the urban area, and over 21.5 million residents in Moscow metropolitan area, its metropolitan area. The city covers an area of , while the urban area covers , and the metropolitan area covers over . Moscow is among the world's List of largest cities, largest cities, being the List of European cities by population within city limits, most populous city entirely in Europe, the largest List of urban areas in Europe, urban and List of metropolitan areas in Europe, metropolitan area in Europe, and the largest city by land area on the European continent. First documented in 1147, Moscow became the capital of the Grand Principality of Moscow, which led the unification of the Russian lan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Candidate Of Sciences
A Candidate of Sciences is a Doctor of Philosophy, PhD-equivalent academic research degree in all the post-Soviet countries with the exception of Ukraine, and until the 1990s it was also awarded in Central and Eastern European countries. It is officially classified by UNESCO as International Standard Classification of Education, ISCED level 8, "doctoral or equivalent". In those countries conferring the Candidate of Sciences degrees, a more advanced degree, Doctor of Sciences, is usually conferred as a higher doctorate. The Candidate of Sciences degree may be recognized as a Doctor of Philosophy#USSR, Russian Federation and former Soviet Republics, Doctor of Philosophy, usually in natural sciences, by scientific institutions in other countries. Overview The degree was introduced in the USSR on 13 January 1934 by a decision of the Government of the Soviet Union, Council of People's Commissars of the USSR, all previous degrees, ranks and titles having been abolished imme ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nauka (publisher)
Nauka () is a Russian publisher of academic books and journals. Established in the USSR in 1923, it was called the USSR Academy of Sciences Publishing House until 1963. Until 1934 the publisher was based in Saint Petersburg, Leningrad, then moved to Moscow. Its logo depicts an open book with Sputnik 1 above it. Nauka was the largest scientific publishing house in the USSR, as well as in the world at one time (in 1982). It was also notable for being the publisher of the USSR Academy of Sciences and its branches. In 1972 Nauka published 135 scientific journals, including 31 physical and mathematical, 24 chemical, 29 biological and five popular science journals: ''Priroda'' (Nature), ''Zemlya i Vselennaya'' (Earth and the Universe), ''Khimia i zhizn'' (Chemistry and Life), ''Kvant (magazine), Kvant'' (Quantum), and ''Russkaya rech'' (Russian speech). The greater part of Nauka's production were monographs. It also published thematic collected works, reference books, textbooks and fo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Москва
Moscow is the Capital city, capital and List of cities and towns in Russia by population, largest city of Russia, standing on the Moskva (river), Moskva River in Central Russia. It has a population estimated at over 13 million residents within the city limits, over 19.1 million residents in the urban area, and over 21.5 million residents in Moscow metropolitan area, its metropolitan area. The city covers an area of , while the urban area covers , and the metropolitan area covers over . Moscow is among the world's List of largest cities, largest cities, being the List of European cities by population within city limits, most populous city entirely in Europe, the largest List of urban areas in Europe, urban and List of metropolitan areas in Europe, metropolitan area in Europe, and the largest city by land area on the European continent. First documented in 1147, Moscow became the capital of the Grand Principality of Moscow, which led the unification of the Russian lan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Refusenik
Refusenik (, ; alternatively spelled refusnik) was an unofficial term for individuals—typically, but not exclusively, Soviet Jews—who were denied permission to emigrate, primarily to Israel, by the authorities of the Soviet Union and other countries of the Soviet Bloc. The term ''refusenik'' is derived from the "refusal" handed down to a prospective emigrant from the Soviet authorities. In addition to the Jews, broader categories included: *Other ethnicities, such as Volga Germans attempting to leave for Germany, Armenians wanting to join their diaspora, and Greeks forcibly removed by Stalin from Crimea and other southern lands to Siberia. *Members of persecuted religious groups, such as the Ukrainian Greek Catholic Church, Baptists and other Protestant groups, Jehovah's Witnesses, and Russian Mennonites. A typical basis to deny emigration was the alleged association with Soviet state secrets. Some individuals were labelled as foreign spies or potential seditioni ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Porous Medium Equation
The porous medium equation, also called the nonlinear heat equation, is a nonlinear partial differential equation taking the form:where \Delta is the Laplace operator. It may also be put into its equivalent divergence form: = \nabla \cdot \left D(u)\nabla u \right/math>where D(u) = mu^ may be interpreted as a diffusion coefficient and \nabla\cdot(\cdot) is the divergence operator. Solutions Despite being a nonlinear equation, the porous medium equation may be solved exactly using separation of variables or a similarity solution. However, the separation of variables solution is known to blow up to infinity at a finite time. Barenblatt-Kompaneets-Zeldovich similarity solution The similarity approach to solving the porous medium equation was taken by Barenblatt and Kompaneets/Zeldovich, which for x \in \mathbb^ was to find a solution satisfying:u(t,x) = v\left( \right), \quad t > 0for some unknown function v and unknown constants \alpha,\beta. The final solution to the porous m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Asymptotic Theory
In mathematical analysis, asymptotic analysis, also known as asymptotics, is a method of describing limiting behavior. As an illustration, suppose that we are interested in the properties of a function as becomes very large. If , then as becomes very large, the term becomes insignificant compared to . The function is said to be "''asymptotically equivalent'' to , as ". This is often written symbolically as , which is read as " is asymptotic to ". An example of an important asymptotic result is the prime number theorem. Let denote the prime-counting function (which is not directly related to the constant pi), i.e. is the number of prime numbers that are less than or equal to . Then the theorem states that \pi(x)\sim\frac. Asymptotic analysis is commonly used in computer science as part of the analysis of algorithms and is often expressed there in terms of big O notation. Definition Formally, given functions and , we define a binary relation f(x) \sim g(x) \quad ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Archive For Rational Mechanics And Analysis
The ''Archive for Rational Mechanics and Analysis'' is a scientific journal that is devoted to research in mechanics as a deductive, mathematical science. The current editors in chief of the journal are Felix Otto and Vladimir Sverak. It was founded in 1956 by Clifford Truesdell when he moved from Indiana University to Johns Hopkins and lost control of a similar journal he had founded a few years previously, the ''Journal of Rational Mechanics and Analysis'' (now the '' Indiana University Mathematics Journal''). Gianfranco Capriz. writes that Truesdell's ideals of mathematical and typesetting rigor gave the new journal a high reputation: James Serrin James Burton Serrin (1 November 1926, Chicago, Illinois – 23 August 2012, Minneapolis, Minnesota) was an American mathematician, and a professor at University of Minnesota. Life He graduated from Evanston Township High School in 1944. He then ..., a later editor of the Archive, adds that it became the center of a revival of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Israel Journal Of Mathematics
'' Israel Journal of Mathematics'' is a peer-reviewed mathematics journal published by the Hebrew University of Jerusalem ( Magnes Press). History Founded in 1963, as a continuation of the ''Bulletin of the Research Council of Israel'' (Section F), the journal publishes articles on all areas of mathematics. The journal is indexed by ''Mathematical Reviews'' and Zentralblatt MATH. Its 2009 MCQ was 0.70, and its 2009 impact factor The impact factor (IF) or journal impact factor (JIF) of an academic journal is a type of journal ranking. Journals with higher impact factor values are considered more prestigious or important within their field. The Impact Factor of a journa ... was 0.754. External links * Mathematics journals Academic journals established in 1963 Academic journals of Israel English-language journals Bimonthly journals Hebrew University of Jerusalem {{math-journal-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dimension
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it. Thus, a line has a dimension of one (1D) because only one coordinate is needed to specify a point on itfor example, the point at 5 on a number line. A surface, such as the boundary of a cylinder or sphere, has a dimension of two (2D) because two coordinates are needed to specify a point on itfor example, both a latitude and longitude are required to locate a point on the surface of a sphere. A two-dimensional Euclidean space is a two-dimensional space on the plane. The inside of a cube, a cylinder or a sphere is three-dimensional (3D) because three coordinates are needed to locate a point within these spaces. In classical mechanics, space and time are different categories and refer to absolute space and time. That conception of the world is a four-dimensional space but not the one that w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Matematicheskii Sbornik
''Matematicheskii Sbornik'' (, abbreviated ''Mat. Sb.'') is a peer reviewed Russian mathematical journal founded by the Moscow Mathematical Society in 1866. It is the oldest successful Russian mathematical journal. The English translation is ''Sbornik: Mathematics''. It is also sometimes cited under the alternative name ''Izdavaemyi Moskovskim Matematicheskim Obshchestvom'' or its French translation ''Recueil mathématique de la Société mathématique de Moscou'', but the name ''Recueil mathématique'' is also used for an unrelated journal, ''Mathesis (journal), Mathesis''. Yet another name, ''Sovetskii Matematiceskii Sbornik'', was listed in a statement in the journal in 1931 apologizing for the former editorship of Dmitri Egorov, who had been recently discredited for his religious views; however, this name was never actually used by the journal. The first editor of the journal was Nikolai Brashman, who died before its first issue (dedicated to his memory) was published. Its curr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Porous Medium
In materials science, a porous medium or a porous material is a material containing pores (voids). The skeletal portion of the material is often called the "matrix" or "frame". The pores are typically filled with a fluid (liquid or gas). The skeletal material is usually a solid, but structures like foams are often also usefully analyzed using concept of porous media. A porous medium is most often characterised by its porosity. Other properties of the medium (e.g. permeability, tensile strength, electrical conductivity, tortuosity) can sometimes be derived from the respective properties of its constituents (solid matrix and fluid) and the media porosity and pores structure, but such a derivation is usually complex. Even the concept of porosity is only straightforward for a poroelastic medium. Often both the solid matrix and the pore network (also known as the pore space) are continuous, so as to form two interpenetrating continua such as in a sponge. However, there is also a c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
