# Adrian Constantin

#41,550

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Romanian mathematician

## Adrian Constantin's AcademicInfluence.com Rankings

Adrian Constantinmathematics Degrees

Mathematics

#3770

World Rank

#5493

Historical Rank

Algebraic Geometry

#118

World Rank

#125

Historical Rank

Measure Theory

#876

World Rank

#1151

Historical Rank

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Mathematics

## Adrian Constantin's Degrees

- PhD Mathematics University of Bucharest

## Why Is Adrian Constantin Influential?

(Suggest an Edit or Addition)According to Wikipedia, Adrian Constantin is a Romanian-Austrian mathematician who does research in the field of nonlinear partial differential equations. He is a professor at the University of Vienna and has made groundbreaking contributions to the mathematics of wave propagation. He is listed as an ISI Highly Cited Researcher with more than 160 publications and 11000 citations.

## Adrian Constantin's Published Works

### Published Works

- Wave breaking for nonlinear nonlocal shallow water equations (1998) (1272)
- The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations (2007) (925)
- Stability of peakons (2000) (899)
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach (2000) (829)
- Global Conservative Solutions of the Camassa–Holm Equation (2007) (775)
- The trajectories of particles in Stokes waves (2006) (754)
- Global existence and blow-up for a shallow water equation (1998) (671)
- On the scattering problem for the Camassa-Holm equation (2001) (647)
- Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation (1998) (644)
- A shallow water equation on the circle (1999) (625)
- GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION (2007) (497)
- Particle trajectories in solitary water waves (2007) (464)
- Analyticity of periodic traveling free surface water waves with vorticity (2011) (460)
- On an integrable two-component Camassa–Holm shallow water system (2008) (423)
- Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis (2011) (423)
- Exact steady periodic water waves with vorticity (2004) (420)
- Geodesic flow on the diffeomorphism group of the circle (2003) (364)
- Inverse scattering transform for the Camassa–Holm equation (2006) (355)
- Stability of the Camassa-Holm solitons (2002) (331)
- On the blow-up rate and the blow-up set of breaking waves for a shallow water equation (2000) (317)
- Global Weak Solutions for a Shallow Water Equation (2000) (307)
- A germline variant in the TP53 polyadenylation signal confers cancer susceptibility (2011) (261)
- Pressure beneath a Stokes wave (2009) (242)
- On the Inverse Spectral Problem for the Camassa–Holm Equation (1998) (218)
- An exact solution for equatorially trapped waves (2012) (214)
- On the deep water wave motion (2001) (210)
- TOPICAL REVIEW: On the geometric approach to the motion of inertial mechanical systems (2002) (204)
- On the Cauchy Problem for the Periodic Camassa–Holm Equation (1997) (192)
- Steady Periodic Water Waves with Constant Vorticity: Regularity and Local Bifurcation (2009) (184)
- Stability of a class of solitary waves in compressible elastic rods (2000) (182)
- Symmetry of steady periodic surface water waves with vorticity (2004) (177)
- On geodesic exponential maps of the Virasoro group (2007) (169)
- Edge waves along a sloping beach (2001) (168)
- Some Nonlinear, Equatorially Trapped, Nonhydrostatic Internal Geophysical Waves (2014) (166)
- Wave-current interactions (2005) (161)
- Orbital stability of solitary waves for a shallow water equation (2001) (160)
- Symmetry of steady periodic gravity water waves with vorticity (2007) (156)
- Global Solutions of the Hunter-Saxton Equation (2005) (155)
- Finite propagation speed for the Camassa-Holm equation (2005) (152)
- An Exact, Steady, Purely Azimuthal Equatorial Flow with a Free Surface (2016) (151)
- Some Three-Dimensional Nonlinear Equatorial Flows (2013) (150)
- Global bifurcation of steady gravity water waves with critical layers (2014) (150)
- Inverse scattering transform for the Degasperis–Procesi equation (2010) (135)
- Instability of some equatorially trapped waves (2013) (130)
- On the Blow-Up of Solutions of a Periodic Shallow Water Equation (2000) (123)
- An Exact, Steady, Purely Azimuthal Flow as a Model for the Antarctic Circumpolar Current (2016) (109)
- Periodic Traveling Gravity Water Waves with Discontinuous Vorticity (2011) (102)
- Symmetry of steady deep-water waves with vorticity (2004) (102)
- Variational formulations for steady water waves with vorticity (2006) (101)
- Particle trajectories in extreme Stokes waves (2012) (99)
- The theorem of Kerekjarto on periodic homeomorphisms of the disc and the sphere (2003) (96)
- A nonlinear, three-dimensional model for ocean flows, motivated by some observations of the Pacific Equatorial Undercurrent and thermocline (2017) (95)
- Gerstner waves in the presence of mean currents and rotation (2017) (92)
- Nonlinear water waves (2012) (87)
- Equatorial Wave–Current Interactions (2019) (86)
- Stability properties of steady water waves with vorticity (2007) (83)
- Large gyres as a shallow-water asymptotic solution of Euler’s equation in spherical coordinates (2017) (80)
- Global existence of solutions for perturbed differential equations (1995) (72)
- On the existence of positive solutions of second order differential equations (2005) (71)
- Hamiltonian Formulation for Wave-Current Interactions in Stratified Rotational Flows (2016) (66)
- Harmonic Maps and Ideal Fluid Flows (2012) (65)
- Rotational steady water waves near stagnation (2007) (65)
- The initial value problem for a generalized Boussinesq equation (2002) (65)
- Recovery of steady periodic wave profiles from pressure measurements at the bed (2013) (64)
- Particle Trajectories in Linear Water Waves (2007) (59)
- Two-dimensionality of gravity water flows of constant nonzero vorticity beneath a surface wave train (2011) (58)
- Integrability of Invariant Metrics on the Diffeomorphism Group of the Circle (2006) (58)
- A Hamiltonian approach to wave-current interactions in two-layer fluids (2015) (58)
- Pressure Beneath a Solitary Water Wave: Mathematical Theory and Experiments (2011) (55)
- Steady Large-Scale Ocean Flows in Spherical Coordinates (2018) (54)
- Nearly-Hamiltonian Structure for Water Waves with Constant Vorticity (2006) (48)
- Global solutions for quasilinear parabolic problems (2002) (48)
- On the recovery of solitary wave profiles from pressure measurements (2012) (46)
- On the Non-Dimensionalisation, Scaling and Resulting Interpretation of the Classical Governing Equations for Water Waves (2008) (45)
- On the Inverse Scattering Approach to the Camassa-Holm Equation (2003) (44)
- On the structure of a family of quasilinear equations arising in shallow water theory (1998) (44)
- Dressing Method for the Degasperis–Procesi Equation (2016) (43)
- Exact periodic traveling water waves with vorticity (2002) (42)
- Particle trajectories in linear deep-water waves (2008) (40)
- Single nucleotide polymorphisms in colorectal cancer: associations with tumor site and TNM stage. (2012) (37)
- Generalized Fourier transform for the Camassa–Holm hierarchy (2007) (34)
- On the relevance of soliton theory to tsunami modelling (2009) (33)
- A GENERAL-WEIGHTED STURM-LIOUVILLE PROBLEM (1997) (32)
- Mean Velocities in a Stokes Wave (2013) (32)
- Global solutions for quasilinear parabolic systems (2004) (31)
- Frictional effects in wind-driven ocean currents (2020) (31)
- Solitons and Tsunamis (2009) (31)
- On equatorial wind waves (2013) (30)
- On the Spectral Problem for the Periodic Camassa–Holm Equation☆ (1997) (29)
- Positive Solutions of Quasilinear Elliptic Equations (1997) (28)
- Poisson Structure and Action-Angle Variables for the Camassa–Holm Equation (2006) (28)
- On the Nonlinear, Three-Dimensional Structure of Equatorial Oceanic Flows (2019) (27)
- On the cauchy problem for a family of quasilinear hyperbolic equations (1998) (27)
- Existence of positive solutions of quasilinear elliptic equations (1996) (27)
- Estimating wave heights from pressure data at the bed (2014) (26)
- Dispersion relations for periodic traveling water waves in flows with discontinuous vorticity (2012) (25)
- On Nagumo's theorem (2010) (25)
- Extrema of the dynamic pressure in an irrotational regular wave train (2016) (25)
- On the modelling of large-scale atmospheric flow (2021) (25)
- On the particle paths in solitary water waves (2009) (24)
- Large-scale oceanic currents as shallow-water asymptotic solutions of the Navier-Stokes equation in rotating spherical coordinates (2019) (23)
- Voltage Control in Low Voltage Networks by Photovoltaic Inverters – PVNET.dk (2013) (23)
- A Dynamical Systems Approach Towards Isolated Vorticity Regions for Tsunami Background States (2011) (22)
- The flow beneath a periodic travelling surface water wave (2015) (21)
- The Ekman spiral for piecewise-uniform viscosity (2020) (21)
- Positive solutions of quasilinear elliptic equations in two-dimensional exterior domains (2000) (20)
- Global existence for fully parabolic boundary value problems (2006) (20)
- On the inverse scattering approach for an integrable shallow water wave equation (2003) (20)
- A Penalization Method for Calculating the Flow Beneath Traveling Water Waves of Large Amplitude (2014) (20)
- Positive solutions of Schrödinger equations in two-dimensional exterior domains (1997) (19)
- On a boundary value problem (1996) (18)
- On the inviscid Proudman-Johnson equation (2009) (17)
- Integrability of invariant metrics on the Virasoro group (2006) (17)
- Approximations of steady periodic water waves in flows with constant vorticity (2015) (17)
- On the propagation of waves in the atmosphere (2021) (16)
- On an infinite interval boundary value problem (1999) (16)
- Current and future prospects for the application of systematic theoretical methods to the study of problems in physical oceanography (2016) (16)
- On a Two-Point Boundary Value Problem (1995) (15)
- Association of common genetic variants with colorectal cancer risk in a Romanian sample. (2010) (15)
- Quasi-periodicity with respect to time of spatially periodic finite-gap solutions of the Camassa-Holm equation (1998) (15)
- On the existence and pathwise uniqueness of solutions of stochastic differential equations (1996) (15)
- Topological transversality : application to an integrodifferential equation (1996) (15)
- A Lagrangian approximation to the water-wave problem (2001) (14)
- A NOTE ON A SECOND-ORDER NONLINEAR DIFFERENTIAL SYSTEM (2000) (13)
- Global existence of solutions of semilinear parabolic evolution equations (2000) (13)
- The Impact of Exogenic Testosterone and Nortestosterone-Decanoate Toxicological Evaluation Using a Rat Model (2014) (13)
- Stability of Solution Sets of Differential Equations with Multivalued Right-Hand Side (1994) (12)
- The time evolution of the maximal horizontal surface fluid velocity for an irrotational wave approaching breaking (2015) (12)
- Analysis of thevenin equivalent network of a distribution system for solar integration studies (2012) (12)
- Principles of surgical treatment of Zenker diverticulum (2012) (11)
- Large-Amplitude Steady Downstream Water Waves (2018) (11)
- The deflection angle between a wind-forced surface current and the overlying wind in an ocean with vertically varying eddy viscosity (2020) (11)
- Open Loop Q(U) Stability Investigation in Case of PV Power Plants (2012) (10)
- Stuart-type vortices on a rotating sphere (2019) (10)
- On the unicity of solutions for the differential equationx(n)(t)=f(t, x) (1993) (9)
- A Gronwall-like inequality and its applications (1990) (9)
- NOTE: Monotone Iterative Technique for a Nonlinear Integral Equation☆ (1997) (9)
- Nonlinear water waves: introduction and overview (2018) (9)
- Voltage Balancing in LV Residential Networks by Means of Three Phase PV Inverters (2012) (8)
- Steady point vortex pair in a field of Stuart-type vorticity (2019) (8)
- Stratospheric Planetary Flows from the Perspective of the Euler Equation on a Rotating Sphere (2021) (8)
- Trochoidal Solutions to the Incompressible Two-Dimensional Euler Equations (2010) (8)
- A Hamiltonian Formulation for Free Surface Water Waves with Non-Vanishing Vorticity (2005) (8)
- Comment on "steep sharp-crested gravity waves on deep water". (2004) (7)
- H k Metrics on the Diffeomorphism Group of the Circle (2003) (7)
- On the propagation of tsunami waves, with emphasis on the tsunami of 2004 (2009) (7)
- Least Action Principle for an Integrable Shallow Water Equation (2001) (7)
- Stuart-type polar vortices on a rotating sphere (2021) (7)
- Breaking Water Waves (2006) (7)
- The Construction of an Evolution System in the Hyperbolic Case and Applications (2001) (6)
- A NOTE ON THE UNIQUENESS OF SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS (1997) (6)
- A note on a boundary value problem (1996) (6)
- The Ekman spiral for piecewise-uniform diffusivity (2020) (6)
- Exact Travelling Periodic Water Waves in Two-Dimensional Irrotational Flows (2016) (6)
- On the existence and uniqueness of solutions of McShane type stochastic differential equations (1998) (6)
- The Role of Medical Synovectomy in Treatment of the Rheumatoid Shoulder (1999) (6)
- Solitons from the Lagrangian perspective (2007) (6)
- On the Oscillation of Solutions of the Liénard Equation (1997) (6)
- Nonlinear wind-drift ocean currents in arctic regions (2021) (6)
- Liouville chains: new hybrid vortex equilibria of the two-dimensional Euler equation (2020) (5)
- Early Postoperative Complications of Thoracic Esophageal Diverticula: A Review of 10 Cases from "Saint Mary" Hospital, Bucharest, Romania. (2018) (5)
- On the open sea propagation of water waves generated by a moving bed (2012) (5)
- Geometrical methods in hydrodynamics (2001) (5)
- Stokes waves in water with a non-flat bed (2014) (4)
- Co-Simulation of Power Electronic Dominated Networks (2020) (4)
- Idiopathic Megacolon—Short Review (2021) (4)
- Nonlinear Alternative: Application to an Integral Equation (1999) (4)
- Introduction: some recent developments of nonlinear water wave theory (2007) (4)
- The Camassa-Holm equation as a geodesic flow for the $H^1$ right-invariant metric (2007) (4)
- Dedifferentiated Liposarcoma of Sigmoid Mesocolon - A Case Report. (2016) (3)
- Prevalence of steroid hormone residues by GC-MS / MS screening in animal matrices in (2017) (3)
- Global existence for parabolic systems by Lyapunov functions (2005) (3)
- On Bounded Positive Solutions of Semilinear Schrödinger Equations (1995) (3)
- A transformation between stationary point vortex equilibria (2020) (3)
- Smart integration of photovoltaic power systems on the island of Bornholm (2011) (2)
- Application of SmartGrid in Photovoltaic Power Systems on the Island of Bornholm–PVNET.dk (2011) (2)
- On the existence, uniqueness and parametric dependence on the coefficients of the solution processes in McShane's stochastic integral equations (1994) (2)
- Harmonic Maps and Ideal Fluid Flows (2011) (2)
- An overview of the paper "Propagation of very long waves, with vorticity, over variable depth, with applications to tsunamis" (2009) (2)
- Somatostatinoma of the first jejunal loop in a patient with neurofibromatosis von Recklinghausen and bilateral pheochromocytoma. (2012) (2)
- Voltage Regulation (MV) by means of Q(U) — Simulation and measurement on a 12 MVA PV power plant (2012) (2)
- An oscillation theorem for Schrödinger equations (1994) (2)
- RECENT ADVANCES in ENERGY, ENVIRONMENT and FINANCIAL SCIENCE (2016) (2)
- On a stability theorem of liapunov (1997) (2)
- STUDY OF A STOCHASTIC INTEGRAL EQUATION USING INTEGRAL CONTRACTORS (1997) (2)
- Discrete wave turbulence of rotational capillary water waves (2010) (2)
- Optimization of biosynthesis conditions and catalitic behavior evaluation of cellulase-free xylanase produced by a new Streptomyces sp. strain. (2011) (2)
- Pregnancy and Colorectal Cancer, from Diagnosis to Therapeutical Management - Short Review. (2020) (2)
- A Special Issue on Recent Advances in Hydrodynamics Introduction (2009) (1)
- Statistical Mechanics of the Periodic Camassa-Holm Equation (2000) (1)
- The Value of Intraoperative Endoscopy and Manometry in the Surgical Treatment of Achalasia. (2018) (1)
- On the geometry of the diffeomorphism group of the circle (2012) (1)
- On the pathwise uniqueness of solutions of stochastic differential equations (1998) (1)
- On some fixed point theorems on expansion mappings (1994) (1)
- Comments on: nonlinear wind-drift ocean currents in arctic regions (2022) (1)
- An algorithm for computing the deflection angle of surface ocean currents relative to the wind direction (2020) (1)
- A uniqueness criterion for ordinary differential equations (2023) (1)
- Use of the Stomach in Esophageal Reconstructive Surgery in Era of Minimally Invasive Approach. (2018) (1)
- Preface (2015) (0)
- Elements of functional analysis (2016) (0)
- Hamiltonian Formulation for Wave-Current Interactions in Stratified Rotational Flows (2016) (0)
- New exact solutions of the Euler equation: hybrid equilibria of Stuart vortices and point vortices (2019) (0)
- Comment on egusphere-2022-831 (2022) (0)
- STUDIES ON THE BIOINFORMATICS ANALYSIS FOR THE PPV (PLUM POX VIRUS) MOLECULAR MARKERS (2019) (0)
- Special Issue Progress in wave-current interactions: vorticity effects in nonlinear water waves Introduction (2009) (0)
- 5. Solitary Water Waves (2011) (0)
- pressure measurements at the bed (2013) (0)
- Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis (2010) (0)
- Multi-dimensional Fourier analysis (2016) (0)
- S I ] 5 O ct 2 00 6 Inverse Scattering Transform for the Camassa-Holm equation (2006) (0)
- S I ] 2 3 Fe b 20 06 Poisson structure and Action-Angle variables for the Camassa-Holm equation (2006) (0)
- OP0066 IMPACT OF DIAGNOSIS AND TREATMENT OF TROPHERYMA WHIPPLEI INFECTION IN PATIENTS WITH PRE-EXISTING CHRONIC INFLAMMATORY RHEUMATIC DISEASES: DATA FROM THE NATIONAL Tw-IRD REGISTRY (2022) (0)
- S I ] 9 M ar 2 00 6 Inverse Scattering Transform for the Camassa-Holm equation (2006) (0)
- PREFACE (2012) (0)
- POS0700 IMPACT OF DELAYING INITIATION OF METHOTREXATE BY 1 MONTH ON THE OUTCOME OF RHEUMATOID ARTHRITIS AT 1 YEAR (2022) (0)
- HOMEOMORPHISMS OF THE DISC AND THE SPHERE (2003) (0)
- On the boundedness of solutions of nonlinear differential equations in Hilbert spaces (1995) (0)
- Introduction to the Special Issue on Mathematical Aspects of Physical Oceanography (2018) (0)
- A P ] 1 0 Ja n 20 00 Statistical Mechanics of the Periodic Camassa-Holm Equation (2000) (0)
- POS1178 PRESCRIBING RITUXIMAB IN PATIENTS WITH AUTO-IMMUNE DISEASES AND ACQUIRED HYPOGAMMAGLOBULINEMIA: DESCRIPTION OF THE RISK OF SEVERE INFECTION IN 121 PATIENTS BEFORE THE SARS-Cov2 ERA (2022) (0)
- A glance at some advanced topics (2016) (0)
- The Lebesgue measure and integral (2016) (0)
- Wave motion: Proceedings of the Conference at the Oberwolfach Mathematical Research Institute - Oberwolfach, Germany, January 25-31, 2004 - Foreword (2004) (0)
- 6. Breaking Waves (2011) (0)
- 4. Fluid Kinematics for Wave Trains (2011) (0)
- On fixed points in noncomplete metric spaces (2022) (0)
- Hamiltonian approach to internal geophysical waves (2015) (0)
- CONTENT IN BIOACTIVE COMPOUNDS AND ANTIOXIDANT CAPACITY OF FLOURS OBTAINED FROM WINEMAKING BY- PRODUCTS (2021) (0)
- On the dynamics of the near-surface currents in the Arctic Ocean (2023) (0)
- TOTALLY MINIMALLY INVASIVE ESOPHAGECTOMY 3D HD FOR THORACIC ESOPHAGEAL CANCER AFTER NEOADJUVANT CHEMORADIOTHERAPY (2018) (0)
- Preface: Dynamics of ocean waves and currents (2019) (0)
- A ug 2 01 6 Dressing Method for the Degasperis-Procesi Equation (2017) (0)
- Palliative ("Toilet") Mammectomy, A Decision-Making Dilemma - Short Review. (2021) (0)
- Programme on “ Mathematical Aspects of Physical Oceanography ” January 22 – March 23 , 2018 organised (2018) (0)
- Models for configurable mechanisms in multimedia Q0S management - simulation study (2000) (0)
- Introduction to the special issue on hydrodynamic model equations (2012) (0)
- Global Weak Solutions for a Shallow Water Equations (1999) (0)
- Mean Velocities in a Stokes Wave (2012) (0)
- Integrating MATLAB/SIMULINK models for wind power systems into Power Factory (2010) (0)
- School of Mathematics 2006-0101 Inverse Scattering Transform for the Camassa-Holm equation (2019) (0)
- Water waves Foreword (2008) (0)
- Some mathematical aspects of water waves (2013) (0)
- Fourier Analysis by Adrian Constantin (2016) (0)
- Foreword [The Öresund Symposium on Partial Differential Equations]. (2003) (0)
- Convergence results for Fourier series (2016) (0)
- 3. Wave-Current Interactions (2011) (0)

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