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- Adrian Constantin

Mathematics

Austria

2023

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
67
Citations
21,769
176
World Ranking
232
National Ranking
3

2023 - Research.com Mathematics in Austria Leader Award

2022 - Research.com Mathematics in Austria Leader Award

2020 - Wittgenstein Award

- Mathematical analysis
- Geometry
- Partial differential equation

His primary areas of study are Camassa–Holm equation, Mathematical analysis, Peakon, Degasperis–Procesi equation and Mechanics. The study incorporates disciplines such as Semigroup, Fixed point, Lax pair, Nonlinear system and Breaking wave in addition to Camassa–Holm equation. His study in Mathematical analysis is interdisciplinary in nature, drawing from both Scattering and Free surface.

His studies in Peakon integrate themes in fields like Soliton, Motion, Shallow water equations and Waves and shallow water. His Degasperis–Procesi equation study incorporates themes from Hunter–Saxton equation and Uniqueness. His work carried out in the field of Mechanics brings together such families of science as Harmonic function, Free boundary problem, Wave shoaling, Surface and Longitudinal wave.

- Wave breaking for nonlinear nonlocal shallow water equations (1086 citations)
- The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations (785 citations)
- Stability of peakons (744 citations)

His primary scientific interests are in Mathematical analysis, Mechanics, Vorticity, Classical mechanics and Nonlinear system. His biological study spans a wide range of topics, including Wave propagation, Breaking wave, Surface wave and Wind wave. Adrian Constantin combines subjects such as Amplitude, Bifurcation and Constant with his study of Vorticity.

His work on Inviscid flow as part of general Classical mechanics study is frequently connected to Complex system, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them. His Nonlinear system research is multidisciplinary, relying on both Equator, Exact solutions in general relativity and Geophysics. His Camassa–Holm equation study which covers Degasperis–Procesi equation that intersects with Hunter–Saxton equation.

- Mathematical analysis (41.63%)
- Mechanics (27.15%)
- Vorticity (22.62%)

- Mechanics (27.15%)
- Vorticity (22.62%)
- Mathematical analysis (41.63%)

Mechanics, Vorticity, Mathematical analysis, Nonlinear system and Classical mechanics are his primary areas of study. His Mechanics study combines topics from a wide range of disciplines, such as Magnitude, Surface and Current. His Vorticity research incorporates elements of Amplitude, Surface wave and Euler equations.

His work on Calculus expands to the thematically related Mathematical analysis. Adrian Constantin has included themes like Flow, Linear system, Management science and Differential equation in his Nonlinear system study. His Mathematical physics study combines topics in areas such as Soliton and Degasperis–Procesi equation.

- An Exact, Steady, Purely Azimuthal Equatorial Flow with a Free Surface (98 citations)
- Global bifurcation of steady gravity water waves with critical layers (94 citations)
- Global bifurcation of steady gravity water waves with critical layers (94 citations)

- Mathematical analysis
- Geometry
- Partial differential equation

His main research concerns Vorticity, Classical mechanics, Mathematical analysis, Nonlinear system and Spherical coordinate system. Particularly relevant to Inviscid flow is his body of work in Classical mechanics. Inviscid flow is the subject of his research, which falls under Mechanics.

His work deals with themes such as Amplitude, Scalar and Bifurcation, which intersect with Mathematical analysis. His research in Nonlinear system intersects with topics in Flow, Surface wave, Internal wave and Piecewise. His biological study deals with issues like Boundary value problem, which deal with fields such as Omega equation, Vorticity equation, Euler's formula and Cylindrical coordinate system.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Wave breaking for nonlinear nonlocal shallow water equations

Adrian Constantin;Joachim Escher.

Acta Mathematica **(1998)**

1299 Citations

Wave breaking for nonlinear nonlocal shallow water equations

Adrian Constantin;Joachim Escher.

Acta Mathematica **(1998)**

1299 Citations

Stability of peakons

Adrian Constantin;Walter A. Strauss.

Communications on Pure and Applied Mathematics **(2000)**

926 Citations

Stability of peakons

Adrian Constantin;Walter A. Strauss.

Communications on Pure and Applied Mathematics **(2000)**

926 Citations

The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations

Adrian Constantin;David Lannes.

Archive for Rational Mechanics and Analysis **(2009)**

914 Citations

The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations

Adrian Constantin;David Lannes.

Archive for Rational Mechanics and Analysis **(2009)**

914 Citations

Existence of permanent and breaking waves for a shallow water equation: a geometric approach

Adrian Constantin.

Annales de l'Institut Fourier **(2000)**

814 Citations

Existence of permanent and breaking waves for a shallow water equation: a geometric approach

Adrian Constantin.

Annales de l'Institut Fourier **(2000)**

814 Citations

Global conservative solutions of the Camassa-Holm equation

Alberto Bressan;Adrian Constantin;Adrian Constantin.

Archive for Rational Mechanics and Analysis **(2007)**

760 Citations

Global conservative solutions of the Camassa-Holm equation

Alberto Bressan;Adrian Constantin;Adrian Constantin.

Archive for Rational Mechanics and Analysis **(2007)**

760 Citations

Journal of Differential Equations

(Impact Factor: 2.615)

Monatshefte für Mathematik

(Impact Factor: 0.901)

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