Jerry Bona

Jerry Bona 2006

Jerry Lloyd Bona (born February 5, 1945 in Little Rock , Arkansas ) is an American mathematician who deals with nonlinear partial differential equations especially in hydrodynamics .

Bona received his bachelor's degree in applied mathematics and computer science from Washington University in 1966 and received his PhD from Harvard University in 1971 with Garrett Birkhoff (Cauchy Problems with Random Initial Values in the Space of Tempered Distributions) . From 1970 to 1972 he was Research Fellow at the University of Essex with Brooke Benjamin and 1972/73 Dickson Instructor at the University of Chicago , where he became Assistant Professor in 1973, Associate Professor in 1976 and Professor in 1979. From 1986 he was professor at Pennsylvania State University (from 1991 Raymond Shibley Professor) and from 1995 professor at the University of Texas at Austin (Texas Institute for Computational and Applied Mathematics). From 2002 he was a professor at the University of Illinois at Chicago .

He was visiting professor in Paris and Brazil (IMPA in Rio de Janeiro), at Denmark's Technical University, in China, at MSRI , at the Tata Institute for Fundamental Research, in Oxford, Bordeaux, at the Schrödinger Institute in Vienna, Athens, Toronto , Spain, Portugal, Lund and at the University of Minnesota (Institute of Mathematics and its Applications).

He is known for the Benjamin-Bona-Mahoney equation (BBM equation, additionally after JJ Mahony and Brooke Benjamin), an equation for gravity waves of large wavelength and small amplitude (they were, for example, used to describe small bores called undular bores hydraulic jumps used). In one dimension it is:

{\ displaystyle u_ {t} + u_ {x} + uu_ {x} -u_ {xxt} = 0. \,}

It has solitons-like solutions (but they are not solitons).

In 2012 he became a Fellow of the American Mathematical Society and is a SIAM Fellow. In 1978 he was invited speaker at the International Congress of Mathematicians in Helsinki ( Model equations for waves in nonlinear dispersive systems ). He is a Fellow of the American Association for the Advancement of Science .

Fonts

B. Benjamin, Bona, Mahony: Model Equations for Long Waves in Nonlinear Dispersive Systems , Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 272, 1972, pp. 47-78.

Web links

Homepage

Individual evidence

↑ Jerry Bona in the Mathematics Genealogy Project (English)
↑ Generalized to any spatial dimensions:, where in the one-dimensional example case was. ${\ displaystyle u_ {t} - \ nabla ^ {2} u_ {t} + \ operatorname {div} \, f (u) = 0. \,}$ ${\ displaystyle f (u) = u + {\ frac {u ^ {2}} {2}}}$
↑ In contrast to the Korteweg-de-Vries equation with an infinite number of conserved quantities, it has only three conserved quantities

personal data
SURNAME	Bona, Jerry
ALTERNATIVE NAMES	Bona, Jerry Lloyd (full name)
BRIEF DESCRIPTION	American mathematician
DATE OF BIRTH	February 5, 1945
PLACE OF BIRTH	Little rock

[1] Jerry Bona in the Mathematics Genealogy Project (English)

[2] Generalized to any spatial dimensions:, where in the one-dimensional example case was. ${\ displaystyle u_ {t} - \ nabla ^ {2} u_ {t} + \ operatorname {div} \, f (u) = 0. \,}$ ${\ displaystyle f (u) = u + {\ frac {u ^ {2}} {2}}}$

[3] In contrast to the Korteweg-de-Vries equation with an infinite number of conserved quantities, it has only three conserved quantities