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Vladimir Entov

Vladimir Entov is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Vladimir Entov rather than just read about it. In short: Vladimir Markovich Entov (January 8, 1937 – April 10, 2008) was an applied mathematician and physicist. Biography During his high school years, Entov won multiple awards at the all-Union Physics Olympiads.

Key takeaways

  • Vladimir Entov belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Vladimir Entov to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Vladimir Entov from memory before moving on to harder problems.

Reference excerpt

Vladimir Markovich Entov (January 8, 1937 – April 10, 2008) was an applied mathematician and physicist.

Biography During his high school years, Entov won multiple awards at the all-Union Physics Olympiads. In 1954 he graduated from a high school with a Gold Medal (valedictorian). He applied to the Physics Department of the Moscow State University, but was rejected on ideological grounds. The same year he began his study at the Mechanical Department of the Moscow Institute for Oil and Gas. In his second year, he approached Professor I.A. Charny and asked him for a research assignment. This was a beginning of their close personal and scientific friendship, which lasted until the death of Professor Charny. Upon his graduation from the Moscow Institute for Oil and Gas in 1959, Entov began a long-distance course of study at the mathematical department of the Moscow State University, while working in the Institute For Drilling Technology. In 1961 he began his graduate study with Professor I.A.Charny, and in 1965 he successfully defended his dissertation thesis “Non- stationary problems of the non-linear filtration”, earning the title of “Candidate of Science" (roughly equivalent to PhD). Beginning in 1971 and until his death, Entov worked at the Institute for Problems in Mechanics of the Soviet Academy of Science. In 1972 he was awarded the title of Doctor of Sciences for his dissertation thesis "Hydrodynamic theory of filtration of anomalous fluids", completed at the Institute for Problems in Mechanics. In his years at the Institute, Vladimir supervised the theses of 24 Candidates of Science and six Doctors of Science. He worked as a scientific supervisor at the Laboratory of Applied Continuum Mechanics until the last years of his life. In addition, since 1983 he served as a Professor of Applied Mathematics and Computer Modeling of the Moscow Institute of Oil and Gas (now known as the Gubkin Russian State University of Oil and Gas). Since 1993, Vladimir was actively involved in research and teaching activity in France (Institut de Physique du Globe de Paris), the UK (University of Cambridge and University of Oxford), and the USA (WPI, University of Stanford, MIT, UMN). Professor Entov was a Corresponding Member of The Russian Academy of the Natural Sciences, a member of the Russian National Committee for the Theoretical and Applied Mechanics, a member of the International Society for the Interaction of Mechanics and Mathematics, and a member of the editorial board of the European Journal of Applied Mathematics (Cambridge University Press).

Works published (partial list) Works include:

Теория нестационарной фильтрации жидкости и газа // М., "Недра", 1972 (совместно с Г.И.Баренблаттом, В.М.Рыжиком) Гидродинамическая теория фильтрации аномальных жидкостей // М., "Наука", 1975 (совместно с М.Г.Бернадинером) Движение жидкостей и газов в природных пластах // М., "Недра", 1984 (совместно с Г.И.Баренблаттом, В.М.Рыжиком) Гидродинамика в бурении // М., "Недра", 1985 (совместно с А.Х. Мирзаджанзаде) Качественные методы в механике сплошных сред // М., "Наука", 1989 (совместно с Р.В.Гольдштейном) Гидродинамика процессов повышения нефтеотдачи // М., "Недра", 1989 (совместно с А.Ф.Зазовским) Математическая теория целиков остаточной вязкопластичной нефти // Томск, Издательство Томского Университета, 1989 (совместно с В.Н.Панковым и С.В.Панько) Fluids Flow through Natural Rocks // Dordrecht, "Kluwer Academic Publishers", 1990 (with G.I. Barenblatt, V.M.Ryzhik) Qualitative Methods in Continuum Mechanics // New York, "Longman Scientific & Technical", 1994 (with R.V. Goldstein) Mechanics of Continua and Its Application to Gas and Oil Productions // Moscow, "Moscow Nedra", 2008 (with E.V. Glivenko)

References

Worked examples

Example 1 — a first encounter with Vladimir Entov

Start with the simplest possible case. Write down what Vladimir Entov claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Vladimir Entov before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Vladimir Entov ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Vladimir Entov

In research
Vladimir Entov appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Vladimir Entov in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Vladimir Entov is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1937 births, 2008 deaths, Russian mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Vladimir Entov outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Vladimir Entov in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Vladimir Entov means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Vladimir Entov out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Vladimir Entov in simple terms?

Vladimir Markovich Entov (January 8, 1937 – April 10, 2008) was an applied mathematician and physicist. Biography During his high school years, Entov won multiple awards at the all-Union Physics Olympiads.

Why does Vladimir Entov matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Vladimir Entov?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Vladimir Entov.

Tags

  • 1937 births
  • 2008 deaths
  • Russian mathematicians
  • Russian physicists

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