Faculty

Institution

Unit

Venue

Ian Tice

Professor

Carnegie Mellon University

Affiliations

Mellon College of Science

Mathematical Sciences

Ian Tice is currently serving as a Mathematical Sciences Professor at Carnegie Mellon University.

Honors

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Experiences

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Education

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Ian Tice

Carnegie Mellon University

Professor

You can click a keyword to filter the displayed items

applied mathematics fluid dynamics fluid mechanics boundary value problems partial differential equations nonlinear phenomena differential equations mathematics mathematical analysis numerical simulations nonlinear analysis fluid flow computational fluid dynamics applied physics rational mechanic mechanical engineering nonlinear hyperbolic problem free boundary problems nonlinear science hydrodynamic stability incompressible flow wave propagation wave motion stability nonlinear dynamics spectral theory wave theory fluid science numerical mathematics wave solutions periodic travelling wave computational mechanics mechanics nonlinear wave propagation compressible flows surface tension flow physics local well-posedness lorentz space estimates theoretical physics computational physics surface waves unsteady flows vortex dynamics numerical method for partial differential equation nonlinear functional analysis multiscale hydrodynamics ginzburg-landau vortex dynamics environmental fluid mechanics fluid-solid interactions vortex induced vibration microscale system hyperbolic equations viscous surface waves instability theory ginzburg-landau energy linear rayleigh-taylor instability global well-posedness stokes flow nonlinear rayleigh-taylor instability nature physic ocean internal wave fluid-structure interaction quantum field theory in curved spacetime nonlinear resonance magnetic fields spin dynamics surface engineering surface modeling microrheology interfacial phenomena exponential decay compressible fluids inviscid rayleigh-taylor instability navier-stokes-poisson equations surface tension limit history of mathematics foundation of mathematics applied mathematical modelling classical mechanics logic in computer science general systems mathematical physics philosophy of mathematics mathematics education discrete mathematics mathematical logic pure mathematics

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Crash Course in Complex Analysis. (2025)

function theorymathematical analysiscomplex function theoryreal analysismathematical sciencesgeneral systemscomplex analysisapplied mathematicsmathematics

Gravity Driven Traveling Bore Wave Solutions to the Free Boundary Incompressible Navier-Stokes Equations. arXiv (Cornell University) (2025)

wave propagationfree boundary problemsincompressible flowgravityfluid dynamicswave nonlinearityboundary value problemsnonlinear hyperbolic problemapplied mathematicswave solutionsfluid mechanicspartial differential equationsdifferential equations

Hydrostatic Bubbles of Compressible Fluid in an Incompressible Fluid. (2025)

incompressible flowfluid dynamicscompressible flowsbubble dynamicsfluid mechanicshydrostatic bubblesfluid sciencefluid flow

Stationary Wave Solutions to Two Dimensional Viscous Shallow Water Equations: Theory of Small and Large Solutions. arXiv (Cornell University) (2025)

wave groupboundary value problemsfluid dynamicswave nonlinearitynonlinear hyperbolic problemnonlinear phenomenawave motionwave theoryapplied mathematicsnonlinear sciencenonlinear analysisfluid mechanicspartial differential equationslarge solutionsfluid flowmathematicsdifferential equations

A Crash Course in Interpolation Theory. (2024)

computational mathematicsdifference equationsnumerical algorithmsmathematical analysisgeometric interpolationapplied mathematicsapproximation theorymathematicsinterpolation spaces

Analysis & Pde. (2024)

calculus of variationsboundary value problemspartial differential equationsnonlinear analysisdifferential equationsnonlinear equationsordinary differential equations

Anisotropic Micropolar Fluids Subject to a Uniform Microtorque: The Stable Case. Analysis & PDE (2024)

Antoine Remond-TiedrezIan Tice

fluid dynamicsuniform microtorqueanisotropic micropolar fluidsstable casepartial differential equationshydrodynamic stability

Global Well-Posedness of Contact Lines: 2d Navier-Stokes Flow. (2024)

flow physicsboundary value problemsfluid dynamicscontact linescomputational fluid dynamicsnumerical simulationsfluid mechanicsapplied mathematicsfluid flowengineering

Global Well-Posedness of Contact Lines: 2d Navier-Stokes Flow. arXiv (Cornell University) (2024)

Y GuoI TiceL WuY Zheng

unsteady flowsnavier-stokes flowmechanical engineeringfluid dynamicscontact linesglobal well-posednessfluid mechanics

Linear Constant Coefficient Ordinary Differential Systems. (2024)

linear systemsnonlinear systemsnonlinear analysisdifferential equationsnonlinear equationsnonlinear dynamicsapplied mathematicsordinary differential equations

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Ian Tice

Professor

Carnegie Mellon University

Affiliations

Mellon College of Science

Mathematical Sciences

Ian Tice is currently serving as a Mathematical Sciences Professor 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

Ian Tice

Carnegie Mellon University

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Crash Course in Complex Analysis. (2025)

function theorymathematical analysiscomplex function theoryreal analysismathematical sciencesgeneral systemscomplex analysisapplied mathematicsmathematics

Gravity Driven Traveling Bore Wave Solutions to the Free Boundary Incompressible Navier-Stokes Equations. arXiv (Cornell University) (2025)

Hydrostatic Bubbles of Compressible Fluid in an Incompressible Fluid. (2025)

incompressible flowfluid dynamicscompressible flowsbubble dynamicsfluid mechanicshydrostatic bubblesfluid sciencefluid flow

Stationary Wave Solutions to Two Dimensional Viscous Shallow Water Equations: Theory of Small and Large Solutions. arXiv (Cornell University) (2025)

A Crash Course in Interpolation Theory. (2024)

computational mathematicsdifference equationsnumerical algorithmsmathematical analysisgeometric interpolationapplied mathematicsapproximation theorymathematicsinterpolation spaces

Analysis & Pde. (2024)

calculus of variationsboundary value problemspartial differential equationsnonlinear analysisdifferential equationsnonlinear equationsordinary differential equations

Anisotropic Micropolar Fluids Subject to a Uniform Microtorque: The Stable Case. Analysis & PDE (2024)

Antoine Remond-TiedrezIan Tice

fluid dynamicsuniform microtorqueanisotropic micropolar fluidsstable casepartial differential equationshydrodynamic stability

Global Well-Posedness of Contact Lines: 2d Navier-Stokes Flow. (2024)

flow physicsboundary value problemsfluid dynamicscontact linescomputational fluid dynamicsnumerical simulationsfluid mechanicsapplied mathematicsfluid flowengineering

Global Well-Posedness of Contact Lines: 2d Navier-Stokes Flow. arXiv (Cornell University) (2024)

Y GuoI TiceL WuY Zheng

unsteady flowsnavier-stokes flowmechanical engineeringfluid dynamicscontact linesglobal well-posednessfluid mechanics

Linear Constant Coefficient Ordinary Differential Systems. (2024)

linear systemsnonlinear systemsnonlinear analysisdifferential equationsnonlinear equationsnonlinear dynamicsapplied mathematicsordinary differential equations

1
2
3
4
5
9
10 / page

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David R. Owen

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Similar Faculty Members

Gautam Iyer

Institution

Carnegie Mellon University

financial stability

general systems

Jalal M. I. Shatah

Institution

New York University

nonlinear hyperbolic problem

hyperbolic equation

Giovanni Leoni

Institution

Carnegie Mellon University

numerical mathematics

general systems

Robert Pego

Institution

Carnegie Mellon University

mechanics

financial stability

Tristan Buckmaster

Institution

New York University

hydrodynamic stability

fluid equations

Walter Noll

Institution

Carnegie Mellon University

thermodynamics

continuum mechanics

Pierre Germain

Institution

New York University

engineering

nonlinear analysis

Mark Williams

Institution

University of North Carolina at Chapel Hill

partial differential equation

calculus of variation

David R. Owen

Institution

Carnegie Mellon University

mechanics

continuum mechanic

Vincent J Ervin

Institution

Clemson University

applied mathematics

numerical analysis