Faculty

Institution

Unit

Venue

Thomas Y. Hou

Charles Lee Powell Professor of Applied and Computational Mathematics; Graduate Option Representative for Applied and Computational Mathematics

California Institute of Technology

Affiliations

Division of Engineering and Applied Science

Computing and Mathematical Sciences

Thomas Y. Hou is currently serving as a Computing And Mathematical Sciences Charles Lee Powell Professor of Applied and Computational Mathematics; Graduate Option Representative for Applied and Computational Mathematics at California Institute of Technology.

Honors

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Experiences

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Education

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Thomas Y. Hou

California Institute of Technology

Charles Lee Powell Professor of Applied and Computational Mathematics; Graduate Option Representative for Applied and Computational Mathematics

You can click a keyword to filter the displayed items

applied mathematics fluid dynamics numerical analysis applied physics multiscale modeling engineering fluid mechanics numerical simulations mechanical engineering modeling and simulation scientific computing machine learning finite element methods dynamical systems computational mechanics multiscale analysis discrete dynamical systems surface tension applied mathematical modelling boundary value problems fluid flow 3d modeling timefrequency analysis hydrodynamic stability numerical method for partial differential equation axisymmetric euler equations mathematical sciences mathematical optimization numerical computation elliptic pdes incompressible euler equations numerical mathematics computational fluid dynamics elliptic problems finite-time blowup singular solutions sparse time-frequency representation navier-stokes equations sparse time-frequency decomposition numerical algorithms friction stability analysis numerical stability incompressible flow interfacial flows linearized motion vortex sheets rough coefficients numerical study point vortex method singularity formation nonlinear science wave theory information theory homogenization (chemistry) wireless communications networked system design wireless personal communication medium communication telecommunication networks cognitive networks cognitive radio cognitive radio resource management discrete dynamics computability theory chaos theory markov chain monte carlo data-driven science statistical signal processing electrochemical energy storage lithium-ion batteries condition monitoring structural identification system identification health monitoring multiscale phenomena

Notable Scholarly Works

Notable Federal Grants

Collaborators

$$L^2$$-Based Stability of Blowup With Log Correction for Semilinear Heat Equation. Archive for Rational Mechanics and Analysis (2026)

Hou, Thomas Y.Nguyen, Van TienWang, Yixuan

stabilitylog correctionsemilinear heat equationapplied mathematics

High Precision Pinns in Unbounded Domains: Application to Singularity Formulation in Pdes. ArXiv.org (2025)

numerical analysisboundary value problemspartial differential equationsmathematicsapplied mathematicsnumerical method for partial differential equation

Nonuniqueness of Leray-Hopf Solutions to the Unforced Incompressible 3D Navier-Stokes Equation. ArXiv.org (2025)

differential equationsincompressible flownumerical analysisboundary value problemsfluid dynamicsfluid mechanicspartial differential equationsfluid flowmathematicsapplied mathematicsnumerical method for partial differential equation

Singularity Formation in 3D Euler Equations With Smooth Initial Data and Boundary. Proceedings of the National Academy of Sciences (2025)

boundary value problemssemi-implicit methodnumerical analysisapplied mathematics

Stable Nearly Self-Similar Blowup of the 2D Boussinesq and 3D Euler Equations With Smooth Data II: Rigorous Numerics. Multiscale Modeling and Simulation (2025)

Jiajie ChenThomas Y. Hou

fluid dynamicsrigorous numericsapplied mathematics

A Locally Solvent-Tethered Polymer Electrolyte for Long-Life Lithium Metal Batteries. Nature Communications (2024)

Yanfei ZhuZhoujie LaoMengtian ZhangTingzheng HouXiao XiaoZhihong PiaoGongxun LuZhiyuan HanRunhua GaoLu NieXinru WuYanze SongChaoyuan JiJian WangGuangmin Zhou

materials sciencepolymer scienceelectrochemical energy storagechemical engineeringelectrochemical engineeringsolvent-tethered polymer electrolyteenergy storagelithium-ion batterieselectrochemistry

Blowup Analysis for a Quasi-Exact 1D Model of 3D Euler and Navier–Stokes. Nonlinearity (2024)

Thomas Y HouYixuan Wang

fluid dynamicsblowup analysisapplied mathematics

On Stability and Instability of $$C^{1,\Alpha }$$ Singular Solutions to the 3D Euler and 2D Boussinesq Equations. Communications in Mathematical Physics (2024)

Jiajie ChenThomas Y. Hou

physicsfluid dynamicsparticle physicsmathematical physicssingular solutionsapplied mathematicsstabilityhydrodynamic stabilitymathematics

Potential Singularity of the Axisymmetric Euler Equations With $\Boldsymbol{C^{\Alpha }}$ Initial Vorticity for a Large Range of $\Boldsymbol{\Alpha }$. Multiscale Modeling and Simulation (2024)

Thomas Y. HouShumao Zhang

axisymmetric euler equationsmultiscale modelingmodeling and simulationpotential singularityinitial vorticity

Adaptive Strategies. Applied mathematical sciences (2023)

Eric ChungYalchin EfendievThomas Y. Hou

adaptive strategiesmathematicsapplied mathematics

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Thomas Y. Hou

Charles Lee Powell Professor of Applied and Computational Mathematics; Graduate Option Representative for Applied and Computational Mathematics

California Institute of Technology

Affiliations

Division of Engineering and Applied Science

Computing and Mathematical Sciences

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Thomas Y. Hou

California Institute of Technology

Charles Lee Powell Professor of Applied and Computational Mathematics; Graduate Option Representative for Applied and Computational Mathematics

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

$$L^2$$-Based Stability of Blowup With Log Correction for Semilinear Heat Equation. Archive for Rational Mechanics and Analysis (2026)

Hou, Thomas Y.Nguyen, Van TienWang, Yixuan

stabilitylog correctionsemilinear heat equationapplied mathematics

High Precision Pinns in Unbounded Domains: Application to Singularity Formulation in Pdes. ArXiv.org (2025)

numerical analysisboundary value problemspartial differential equationsmathematicsapplied mathematicsnumerical method for partial differential equation

Nonuniqueness of Leray-Hopf Solutions to the Unforced Incompressible 3D Navier-Stokes Equation. ArXiv.org (2025)

Singularity Formation in 3D Euler Equations With Smooth Initial Data and Boundary. Proceedings of the National Academy of Sciences (2025)

boundary value problemssemi-implicit methodnumerical analysisapplied mathematics

Stable Nearly Self-Similar Blowup of the 2D Boussinesq and 3D Euler Equations With Smooth Data II: Rigorous Numerics. Multiscale Modeling and Simulation (2025)

Jiajie ChenThomas Y. Hou

fluid dynamicsrigorous numericsapplied mathematics

A Locally Solvent-Tethered Polymer Electrolyte for Long-Life Lithium Metal Batteries. Nature Communications (2024)

Yanfei ZhuZhoujie LaoMengtian ZhangTingzheng HouXiao XiaoZhihong PiaoGongxun LuZhiyuan HanRunhua GaoLu NieXinru WuYanze SongChaoyuan JiJian WangGuangmin Zhou

materials sciencepolymer scienceelectrochemical energy storagechemical engineeringelectrochemical engineeringsolvent-tethered polymer electrolyteenergy storagelithium-ion batterieselectrochemistry

Blowup Analysis for a Quasi-Exact 1D Model of 3D Euler and Navier–Stokes. Nonlinearity (2024)

Thomas Y HouYixuan Wang

fluid dynamicsblowup analysisapplied mathematics

On Stability and Instability of $$C^{1,\Alpha }$$ Singular Solutions to the 3D Euler and 2D Boussinesq Equations. Communications in Mathematical Physics (2024)

Jiajie ChenThomas Y. Hou

physicsfluid dynamicsparticle physicsmathematical physicssingular solutionsapplied mathematicsstabilityhydrodynamic stabilitymathematics

Thomas Y. HouShumao Zhang

axisymmetric euler equationsmultiscale modelingmodeling and simulationpotential singularityinitial vorticity

Adaptive Strategies. Applied mathematical sciences (2023)

Eric ChungYalchin EfendievThomas Y. Hou

adaptive strategiesmathematicsapplied mathematics

1
2
3
4
5
23
10 / page

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applied mathematics

mathematical physics

Denis Zorin

Institution

New York University

engineering

numerical mathematics

Anthony Patera

Institution

Massachusetts Institute of Technology

engineering

numerical mathematics

Leslie Greengard

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electromagnetic wave

sound propagation

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fluid dynamics

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University of California, Berkeley

numerical mathematics

applied mathematics

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applicable analysis

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mechanics

elastic-energy-driven pattern formation

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numerical analysis

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applied mathematics

machine learning