What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Partial differential equation
- Algebra
His primary scientific interests are in Mathematical analysis, Korteweg–de Vries equation, Partial differential equation, Soliton and Euler equations.
His Mathematical analysis study combines topics in areas such as Vries equation, Kondratiev wave and Inviscid flow.
His study in Inviscid flow is interdisciplinary in nature, drawing from both Analytic function, Convolution, Fourier transform and Simultaneous equations.
His Korteweg–de Vries equation study integrates concerns from other disciplines, such as Mathematical physics, Boundary value problem, Wave equation, Sobolev space and Plane.
His research in Boundary value problem intersects with topics in Basis and Calculus.
His biological study spans a wide range of topics, including Internal wave, Scaling and Euler's formula.
His most cited work include:
- Model Equations for Long Waves in Nonlinear Dispersive Systems (1470 citations)
- The Initial-Value Problem for the Korteweg-De Vries Equation (589 citations)
- Stability and Instability of Solitary Waves of Korteweg-de Vries Type (363 citations)
What are the main themes of his work throughout his whole career to date?
Mathematical analysis, Korteweg–de Vries equation, Mathematical physics, Boundary value problem and Wave equation are his primary areas of study.
His work deals with themes such as Soliton and Plane, which intersect with Mathematical analysis.
In his study, Arbitrarily large is strongly linked to Sobolev space, which falls under the umbrella field of Korteweg–de Vries equation.
His research integrates issues of Space, Kadomtsev–Petviashvili equation and Zero in his study of Mathematical physics.
His Boundary value problem study combines topics from a wide range of disciplines, such as Inverse scattering problem, Bounded function and Applied mathematics.
The Cnoidal wave research Jerry L. Bona does as part of his general Wave equation study is frequently linked to other disciplines of science, such as Dissipative system, therefore creating a link between diverse domains of science.
He most often published in these fields:
- Mathematical analysis (63.58%)
- Korteweg–de Vries equation (30.64%)
- Mathematical physics (17.92%)
What were the highlights of his more recent work (between 2010-2021)?
- Mathematical analysis (63.58%)
- Korteweg–de Vries equation (30.64%)
- Well posedness (4.62%)
In recent papers he was focusing on the following fields of study:
His primary areas of study are Mathematical analysis, Korteweg–de Vries equation, Well posedness, Applied mathematics and Pure mathematics.
His research in Space and Schrödinger's cat are components of Mathematical analysis.
Jerry L. Bona studied Korteweg–de Vries equation and Contraction mapping that intersect with Independent equation.
His studies in Well posedness integrate themes in fields like Plane and Type.
The concepts of his Applied mathematics study are interwoven with issues in Finite element method, Numerical approximation, Invariant, Resolution and Sequence.
His work on Sobolev space is typically connected to Research council as part of general Pure mathematics study, connecting several disciplines of science.
Between 2010 and 2021, his most popular works were:
- Conservative, discontinuous Galerkin–methods for the generalized Korteweg–de Vries equation (93 citations)
- Dispersive blow-up for nonlinear Schrödinger equations revisited (32 citations)
- Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations (25 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Partial differential equation
Jerry L. Bona spends much of his time researching Korteweg–de Vries equation, Mathematical physics, Applied mathematics, Mathematical analysis and Type.
His Korteweg–de Vries equation research is multidisciplinary, incorporating perspectives in Initial value problem, Approximations of π, Order and Discontinuous Galerkin method.
His Mathematical physics research incorporates elements of Space, Soliton, Conservation law and Dispersionless equation.
Jerry L. Bona combines subjects such as Euler system, Euler equations and Calculus with his study of Applied mathematics.
His Mathematical analysis research includes themes of Dispersion and Rogue wave.
Jerry L. Bona has included themes like Traveling wave, Combinatorics and Spatial variable in his Type study.
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