Faculty

Institution

Unit

Venue

Robert Pego

Professor Emeritus

Carnegie Mellon University

Affiliations

Mellon College of Science

Mathematical Sciences

Robert Pego is currently serving as a Mathematical Sciences Professor Emeritus at Carnegie Mellon University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Robert Pego

Carnegie Mellon University

Professor Emeritus

You can click a keyword to filter the displayed items

applied mathematics mathematics nonlinear science nonlinear phenomena nonlinear analysis differential equations rational mechanic mathematical physics partial differential equations boundary value problems fluid dynamics nonlinear dynamics dynamical systems physics statistical mechanics fluid mechanics statistical physics wave theory numerical simulations mathematical analysis spectral theory nonlinear hyperbolic problem stability nonlinear wave propagation fluid flow scientific computing mathematical sciences wave motion applied physics hydrodynamic stability mathematical bioscience applied mathematical modelling anomalous diffusion shock waves wave propagation nonlinear equations periodic travelling wave solitary waves critical phenomena evolution equations conservation laws numerical method for partial differential equation shock compression hyperbolic conservation laws bose-einstein condensation statistical field theories mathematical statistical physic mathematical optimization diffusion process potential theory oscillation theory nonlinear functional analysis chaos theory population dynamics metastable patterns residual stress nonlinear elasticity asymptotic stability coagulation equations solitary water waves becker-doring equations kompaneets equation numerical stability analytic number theory theoretical ecology fluorescence recovery fpu lattices one-dimensional nonlinear viscoelasticity oscillatory instability fermi-pasta-ulam lattices liquid-vapor critical point internal waves least action principles particle lattices mechanical behavior one-dimensional materials pure mathematics financialization international finance financial system mathematical logic financial stability quantum science classical mechanics discrete mathematics quantum computing mathematics education logic in computer science foundation of mathematics nature physic history of mathematics quantum systems quantum information science capital structure general systems bank marketing financial crisis philosophy of mathematics computational physics mechanics quantum theory quantum mechanics

Notable Scholarly Works

Notable Federal Grants

Collaborators

Analysis of the Adhesion Model and the Reconstruction Problem in Cosmology. (2025)

rational mechaniccosmologygravitational lensscientific computinggravityquantum cosmologyastroparticle physicsparticle cosmologyinflation (cosmology)alternative cosmologygeneral relativitymodern physicsastronomyquantum gravitytheoretical physicsintroduction to general relativitydark energyacta astronauticageometric topology

Convergence and Nonconvergence in a Nonlocal Gradient Flow. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES (2025)

rational mechanicconvergence analysisstochastic partial differential equationsstatistical mechanicsdifferential equationsconvex analysismultiscale hydrodynamicsstatisticsnumerical analysisabstract and applied analysisvariational analysisstatistical physicsfunctional analysisnumerical mathematicsnonlinear analysisasymptotic analysisapplied mathematicspartial differential equationsnondifferentiable optimizationperturbation methodsmathematicsboundary value problems

Rigidly Breaking Potential Flows and a Countable Alexandrov Theorem for Polytopes. Pure and Applied Analysis (2025)

topological dynamicskam theorygeometric flowsapplied mathematicsgeometric analysispotential flowsmathematical analysistopologyglobal analysisgeometric measure theorypolyhedrongeometric topologydiscrete geometrymathematicscountable alexandrov theoremdifferential geometrygeometry and topologymathematical sciences

Rigidly Breaking Potential Flows and a Countable Alexandrov Theorem for Polytopes. PURE AND APPLIED ANALYSIS (2025)

computational topologyrational mechanicfunction spacesgeometric singular perturbation theorydifferential geometryspectral theorymechanical engineeringmathematical sciencestopologygeometric measure theorydiscrete geometrygeometric analysisfunctional analysisconvex hullsglobal analysispolyhedronmathematical analysisgeometry and topologyapplied mathematicsgeometric topologymathematicsboundary value problems

Traveling Wave Profiles for a Semi-Discrete Burgers Equation. Physica D Nonlinear Phenomena (2025)

rational mechanicnonlinear acousticsordinary differential equationsdifferential equationsnumerical simulationswave theorywave nonlinearitynonlinear hyperbolic problemnonlinear dynamicsnonlinear phenomenanonlinear wave propagationnonlinear sciencenonlinear equationsnonlinear analysisnonlinear systemsapplied mathematicspartial differential equationsdynamical systemstransport phenomenaboundary value problems

Traveling Wave Profiles for a Semi-Discrete Burgers Equation. PHYSICA D-NONLINEAR PHENOMENA (2025)

A Simple Construction of Fat Cantor Sets. American Mathematical Monthly (2024)

Jian-Guo LiuRobert L. Pego

topologysimple constructionfat cantor setsmathematics

A Simple Construction of Fat Cantor Sets. (2024)

pure mathematicsfunction spacesgeometric measure theorycombinatorial theoryset-theoretic topologymathematicsextremal set theoryset theory

Convergence and Nonconvergence in a Nonlocal Gradient Flow. Journal of the London Mathematical Society (2024)

Sangmin ParkRobert L. Pego

fluid dynamicsnumerical analysismathematical optimizationapplied mathematicspure mathematicsnonlocal gradient flowmathematicsnumerical simulationsunsteady flows

Existence of Solitary Waves in Particle Lattices With Power-Law Forces. NONLINEARITY (2024)

statistical mechanicsordinary differential equationsdifferential equationswave theorywave groupwave nonlinearitymathematical physicstopological solitonstatistical physicsnonlinear dynamicsnonlinear resonancenonlinear phenomenanature physicnonlinear wave propagationsymmetrynonlinear sciencephysicsnonlinear analysisdynamical systemsquantum mechanics

1
2
3
4
5
28
10 / page

Robert Pego

Professor Emeritus

Carnegie Mellon University

Affiliations

Mellon College of Science

Mathematical Sciences

Robert Pego is currently serving as a Mathematical Sciences Professor Emeritus at Carnegie Mellon University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Robert Pego

Carnegie Mellon University

Professor Emeritus

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Analysis of the Adhesion Model and the Reconstruction Problem in Cosmology. (2025)

Convergence and Nonconvergence in a Nonlocal Gradient Flow. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES (2025)

Rigidly Breaking Potential Flows and a Countable Alexandrov Theorem for Polytopes. Pure and Applied Analysis (2025)

Rigidly Breaking Potential Flows and a Countable Alexandrov Theorem for Polytopes. PURE AND APPLIED ANALYSIS (2025)

Traveling Wave Profiles for a Semi-Discrete Burgers Equation. Physica D Nonlinear Phenomena (2025)

Traveling Wave Profiles for a Semi-Discrete Burgers Equation. PHYSICA D-NONLINEAR PHENOMENA (2025)

A Simple Construction of Fat Cantor Sets. American Mathematical Monthly (2024)

Jian-Guo LiuRobert L. Pego

topologysimple constructionfat cantor setsmathematics

A Simple Construction of Fat Cantor Sets. (2024)

pure mathematicsfunction spacesgeometric measure theorycombinatorial theoryset-theoretic topologymathematicsextremal set theoryset theory

Convergence and Nonconvergence in a Nonlocal Gradient Flow. Journal of the London Mathematical Society (2024)

Sangmin ParkRobert L. Pego

fluid dynamicsnumerical analysismathematical optimizationapplied mathematicspure mathematicsnonlocal gradient flowmathematicsnumerical simulationsunsteady flows

Existence of Solitary Waves in Particle Lattices With Power-Law Forces. NONLINEARITY (2024)

1
2
3
4
5
28
10 / page

Similar Faculty Members

Irene Fonseca

Institution

Carnegie Mellon University

numerical mathematics

general systems

Giovanni Leoni

Institution

Carnegie Mellon University

numerical mathematics

general systems

David Kinderlehrer

Institution

Carnegie Mellon University

structural materials

structural chemistry

Stephen Childress

Institution

New York University

mathematical models

vorticity growth

Ian Tice

Institution

Carnegie Mellon University

mechanics

mathematical logic

Gautam Iyer

Institution

Carnegie Mellon University

financial stability

general systems

Ralph E. Showalter

Institution

Oregon State University

diffusion process

pore structure

Dejan Slepčev

Institution

Carnegie Mellon University

numerical mathematics

general systems

Jalal M. I. Shatah

Institution

New York University

nonlinear hyperbolic problem

hyperbolic equation

Yuri Lvov

Institution

Rensselaer Polytechnic Institute

rogue wave

physics

Similar Faculty Members

Irene Fonseca

Institution

Carnegie Mellon University

numerical mathematics

general systems

Giovanni Leoni

Institution

Carnegie Mellon University

numerical mathematics

general systems

David Kinderlehrer

Institution

Carnegie Mellon University

structural materials

structural chemistry

Stephen Childress

Institution

New York University

mathematical models

vorticity growth

Ian Tice

Institution

Carnegie Mellon University

mechanics

mathematical logic

Gautam Iyer

Institution

Carnegie Mellon University

financial stability

general systems

Ralph E. Showalter

Institution

Oregon State University

diffusion process

pore structure

Dejan Slepčev

Institution

Carnegie Mellon University

numerical mathematics

general systems

Jalal M. I. Shatah

Institution

New York University

nonlinear hyperbolic problem

hyperbolic equation

Yuri Lvov

Institution

Rensselaer Polytechnic Institute

rogue wave

physics