Prabhu Lal Bhatnagar
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Prabhu Lal Bhatnagar (8 August 1912 – 5 October 1976), commonly addressed as P. L. Bhatnagar, was an Indian mathematician known for his contribution to the
Bhatnagar–Gross–Krook operator The Bhatnagar–Gross–Krook operator (abbreviated BGK operator) term refers to a collision operator used in the Boltzmann equation and in the lattice Boltzmann method, a computational fluid dynamics technique. It is given by the following for ...
used in Lattice Boltzmann methods (LBM).


Biography


Early years

P. L. Bhatnagar was born in Kota in Rajasthan and was the second of five sons. He did his schooling in Rampura and later at Herberter College in Kota. After schooling he went to Maharajah's College in
Jaipur Jaipur (; Hindi: ''Jayapura''), formerly Jeypore, is the capital and largest city of the Indian state of Rajasthan. , the city had a population of 3.1 million, making it the tenth most populous city in the country. Jaipur is also known a ...
where in 1935 he completed BSc with first rank, followed by MSc.


Middle years

His research career started at the
Allahabad University , mottoeng = "As Many Branches So Many Trees" , established = , type = Public , chancellor = Ashish Chauhan , vice_chancellor = Sangita Srivastava , head_label ...
under the supervision of Prof. B. N. Prasad on summability theory but soon he joined Prof. Amiya Charan Banerjee to work in differential equations. The results of his work (with Prof. Banerji, published in Proceeding of National Academy of Sciences, 1938) are included in the book of
Erich Kamke Erich Kamke (18 August 1890 – 28 September 1961) was a German mathematician, who specialized in the theory of differential equations. Also, his book on set theory became a standard introduction to the field. Biography Kamke was born in Ma ...
. He became interested in the area of
astrophysics Astrophysics is a science that employs the methods and principles of physics and chemistry in the study of astronomical objects and phenomena. As one of the founders of the discipline said, Astrophysics "seeks to ascertain the nature of the h ...
after coming in contact with
Meghnad Saha Meghnad Saha (6 October 1893 – 16 February 1956) was an Indian astrophysicist who developed the Saha ionization equation, used to describe chemical and physical conditions in stars. His work allowed astronomers to accurately relate the spe ...
. In 1939 he obtained DPhil degree in mathematics for his thesis titled ''On the Origin of the Solar System''. In 1939 he joined
St. Stephen's College, Delhi St. Stephen's College is a constituent college of the University of Delhi, widely regarded as one of the oldest and most prestigious colleges for arts and sciences in India. It was established in 1881 by the Cambridge Mission to Delhi. The college ...
on the invitation of S. N. Mukherjee and spent the next 16 years there. There he worked on the theory of
white dwarf A white dwarf is a stellar core remnant composed mostly of electron-degenerate matter. A white dwarf is very dense: its mass is comparable to the Sun's, while its volume is comparable to the Earth's. A white dwarf's faint luminosity comes ...
s, independently and together with
Daulat Singh Kothari Daulat Singh Kothari (6 July 1906 – 4 February 1993) was an Indian scientist and educationist. Early life and education D. S. Kothari was born in the princely state of Udaipur in Rajputana on 6 July 1906., son of a Jain Headmaster. His fath ...
. In 1952 he was invited to
Harvard University Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of highe ...
as a
Fulbright scholar The Fulbright Program, including the Fulbright–Hays Program, is one of several United States Cultural Exchange Programs with the goal of improving intercultural relations, cultural diplomacy, and intercultural competence between the people o ...
. There he worked together with
Donald Howard Menzel Donald Howard Menzel (April 11, 1901 – December 14, 1976) was one of the first theoretical astronomers and astrophysicists in the United States. He discovered the physical properties of the solar chromosphere, the chemistry of stars, the atmos ...
and Hari Kesab Singh in the field of non-linear gases. His work with the
Boltzmann equation The Boltzmann equation or Boltzmann transport equation (BTE) describes the statistical behaviour of a thermodynamic system not in a state of equilibrium, devised by Ludwig Boltzmann in 1872.Encyclopaedia of Physics (2nd Edition), R. G. Lerne ...
led to his well-known BGK collision model in 1954 together with Eugene P. Gross and Max Krook. It was at first extensively developed for ionized gases with many applications. These days, the BGK collision operator is essential for the recent development of lattice Boltzmann automata methods. In 1950 he was elected fellow of
Indian National Science Academy The Indian National Science Academy (INSA) is a national academy in New Delhi for Indian scientists in all branches of science and technology. In August 2019, Dr. Chandrima Shaha was appointed as the president of Indian National Science Acade ...
and in 1955 the fellow of
Indian Academy of Sciences The Indian Academy of Sciences, Bangalore was founded by Indian Physicist and Nobel Laureate C. V. Raman, and was registered as a society on 24 April 1934. Inaugurated on 31 July 1934, it began with 65 founding fellows. The first general meet ...
. In 1956 he was invited to join
Indian Institute of Science The Indian Institute of Science (IISc) is a public, deemed, research university for higher education and research in science, engineering, design, and management. It is located in Bengaluru, in the Indian state of Karnataka. The institute was ...
as the founding Professor of the Department of Applied Mathematics. There he expanded his research area into the field of non-Newtonian fluid mechanics. Alongside to his research work he also laid down the foundation stone of the
Indian National Mathematics Olympiad The Indian National Mathematical Olympiad (INMO) is a high school mathematics competition held annually in India since 1989. It is the third tier in the Indian team selection procedure for the International Mathematical Olympiad and is conducted ...
. For his contributions to the nation, on 26 January 1968 he was awarded the
Padma Bhushan The Padma Bhushan is the third-highest civilian award in the Republic of India, preceded by the Bharat Ratna and the Padma Vibhushan and followed by the Padma Shri. Instituted on 2 January 1954, the award is given for "distinguished service ...
. During the early 1960s he developed complications in the lower spinal region and was operated on in the United States. In 1969 he moved to
Rajasthan University University of Rajasthan is a public and state university in Jaipur, Rajasthan, India and is one of the oldest universities in the state. It was set up on 8 January 1947 as the University of Rajputana Rājputana, meaning "Land of the Ra ...
in
Jaipur Jaipur (; Hindi: ''Jayapura''), formerly Jeypore, is the capital and largest city of the Indian state of Rajasthan. , the city had a population of 3.1 million, making it the tenth most populous city in the country. Jaipur is also known a ...
as Vice-Chancellor and in 1971 joined
Himachal Pradesh University Himachal Pradesh University (HPU) is an Indian public state university at Summer Hill in the state capital city Shimla. It is close to the vicinity of the Indian Institute of Advanced Study. It is wholly financed by the government of Himachal ...
in
Shimla Shimla (; ; also known as Simla, the official name until 1972) is the capital and the largest city of the northern Indian state of Himachal Pradesh. In 1864, Shimla was declared as the summer capital of British India. After independence, ...
as Head of the Mathematics Department. He was also member of the Union Public Service Commission and the first Director of the Mehta Research Institute (now renamed as the
Harish-Chandra Research Institute The Harish-Chandra Research Institute (HRI) is an institution dedicated to research in mathematics and theoretical physics, located in Allahabad (officially Prayagraj), Uttar Pradesh in India. Established in 1975, HRI offers masters and doctora ...
).


Honors and awards

He was awarded the
Padma Bhushan The Padma Bhushan is the third-highest civilian award in the Republic of India, preceded by the Bharat Ratna and the Padma Vibhushan and followed by the Padma Shri. Instituted on 2 January 1954, the award is given for "distinguished service ...
by the President of India on 26 January 1968. After he died on 5 October 1976 at Allahabad, the Illustrated Weekly of India paid a tribute to him through an article on him by the well-known science writer Jagajit Singh.


Later years

His wife died in January 1973. He moved to Delhi in October as member of the
Union Public Service Commission The Union Public Service Commission ( ISO: ), commonly abbreviated as UPSC, is India's premier central recruitment agency for recruitment of all the Group 'A' officers under Government of India. It is responsible for appointments to and exam ...
. In 1975 he accepted the post of Director of the newly created
Mehta Research Institute The Harish-Chandra Research Institute (HRI) is an institution dedicated to research in mathematics and theoretical physics, located in Allahabad (officially Prayagraj), Uttar Pradesh in India. Established in 1975, HRI offers masters and doct ...
in
Allahabad Allahabad (), officially known as Prayagraj, also known as Ilahabad, is a metropolis in the Indian state of Uttar Pradesh.The other five cities were: Agra, Kanpur (Cawnpore), Lucknow, Meerut, and Varanasi (Benares). It is the administra ...
. He died of a heart attack on 5 October 1976.


References


External links


Biography on Springer website




{{DEFAULTSORT:Bhatnagar, Prabhu Lal 1912 births 1976 deaths 20th-century Indian mathematicians Recipients of the Padma Bhushan in science & engineering Rajasthani people University of Allahabad alumni Harvard University alumni University of Rajasthan faculty Indian Institute of Science faculty People from Kota, Rajasthan Presidents of the Indian Mathematical Society Scientists from Rajasthan