Faculty

Institution

Unit

Venue

Benjamin Dodson

Professor

Johns Hopkins University

Affiliations

Natural Sciences

Department of Mathematics

Krieger School of Arts and Sciences

Natural Sciences

Benjamin Dodson is currently serving as a Mathematics Professor at Johns Hopkins University.

Honors

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Experiences

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Education

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Benjamin Dodson

Johns Hopkins University

Professor

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applied mathematics global well-posedness mathematics applied physics nonlinear wave propagation mathematical physics nonlinear phenomena wave scattering dynamical systems partial differential equations differential equations initial data nonlinear dynamics nonlinear analysis nonlinear science mathematical analysis fluid dynamics nonlinear systems numerical simulations global analysis physics nonlinear equations particle physics source apportionment ground state critical space boundary value problems discrete dynamical systems nonlinear hyperbolic problem nonlinear schrodinger equation high energy physics analytic number theory elliptic equations higher dimensional problems quintic nls nonlinear schrodinger equations morawetz estimates dinger equation numerical mathematics computational fluid dynamics documentation digital scholarship mathematical optimization dynamical analysis modern algebra free boundary problems inverse scattering transforms wave theory numerical method for partial differential equation nonlinear oscillations geometrical accuracy singularly perturbed problem critical phenomena nonlinear functional analysis wave motion wave propagation 3d modeling 3d reconstruction theoretical prediction index system low-dimensional systems low-dimensional structures integral transforms temporal complexity time complexity infrared photometry non-radial focusing nls ground state threshold bounded critical norm super-critical wave equations nonlinear wave equation radial data

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Determination of the Blowup Solutions to the Focusing, Quintic Nls With Mass Equal to the Mass of the Soliton. Analysis & PDE (2024)

Benjamin Dodson

quintic nlsblowup solutionsplanetary sciencespartial differential equations

Global Well-Posedness for the Radial, Defocusing, Nonlinear Wave Equation for 3 P 5. American Journal of Mathematics (2024)

Benjamin Dodson

elliptic equationsnonlinear sciencepartial differential equationsnonlinear phenomenamathematicsnonlinear dynamicsdifferential equationsordinary differential equationsnonlinear analysisglobal well-posednessnonlinear wave propagationglobal analysisnonlinear equationsstochastic processsource apportionmentcomputational fluid dynamicsapplied physicsapplied mathematicsdynamical systems

Global Well-Posedness of the Energy Subcritical Nonlinear Wave Equation With Initial Data in a Critical Space. Advances in Mathematics (2024)

Benjamin Dodson

nonlinear phenomenanonlinear systemsnumerical simulationsglobal well-posednessnonlinear wave propagationnonlinear hyperbolic problemglobal analysiswave nonlinearitymathematicsnonlinear equationscritical spacepartial differential equationsdifferential equationscritical phenomenainitial dataapplied mathematicsdynamical systems

A Liouville Theorem for the Chern–Simons–SchröDinger Equation. Discrete and Continuous Dynamical Systems (2023)

Benjamin Dodson

liouville theoremdiscrete dynamical systemschern-simons-schrodinger equationdynamical systems

Sharp Global Well-Posedness and Scattering for the Radial Conformal Nonlinear Wave Equation. International Mathematics Research Notices (2023)

Benjamin Dodson

nonlinear phenomenanonlinear systemsnonlinear analysisnonlinear sciencenonlinear wave propagationnonlinear oscillationsglobal analysisnonlinear equationsmathematicswave scatteringsharp global well-posednesspartial differential equationsnonlinear dynamicsdifferential equationsapplied mathematicsdynamical systems

Spacetime Integral Bounds for the Energy-Critical Nonlinear Wave Equation. Proceedings of the American Mathematical Society (2023)

Benjamin Dodson

mathematical optimizationintegral transformsnonlinear sciencepure mathematicswave nonlinearityspacetime integral boundsnonlinear phenomenamathematical physicsmathematicsnonlinear dynamicsmathematical analysisnonlinear analysisnonlinear wave propagationtime complexitynonlinear hyperbolic problemnumerical analysistemporal complexityapplied physicsapplied mathematics

Global Well-Posedness of the Radial Conformal Nonlinear Wave Equation With Initial Data in a Critical Space. arXiv (Cornell University) (2022)

Dodson, Benjamin

nonlinear phenomenanonlinear systemsglobal well-posednessnonlinear wave propagationglobal analysisnonlinear equationscritical spaceinitial dataapplied mathematics

Scattering for the Defocusing, Nonlinear SchröDinger Equation With Initial Data in a Critical Space. International Mathematics Research Notices (2022)

Benjamin Dodson

mathematicswave scatteringcritical spacenonlinear schrodinger equationinitial dataapplied mathematics

Global Well-Posedness for the Cubic Nonlinear SchröDinger Equation With Initial Data Lying in L P -Based Sobolev Spaces. Journal of Mathematical Physics (2021)

Benjamin DodsonAvraham SofferThomas Spencer

global well-posednesssobolev spacesmathematical physicsmathematicsinitial dataapplied mathematics

Global Well-Posedness for the Defocusing, Cubic Nonlinear SchröDinger Equation With Initial Data in a Critical Space. Revista Matemática Iberoamericana (2021)

Benjamin Dodson

earth scienceglobal well-posednessnonlinear wave propagationfluid dynamicscritical spaceinitial data

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Benjamin Dodson

Professor

Johns Hopkins University

Affiliations

Natural Sciences

Department of Mathematics

Krieger School of Arts and Sciences

Natural Sciences

Benjamin Dodson is currently serving as a Mathematics Professor at Johns Hopkins 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

Benjamin Dodson

Johns Hopkins University

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Determination of the Blowup Solutions to the Focusing, Quintic Nls With Mass Equal to the Mass of the Soliton. Analysis & PDE (2024)

Benjamin Dodson

quintic nlsblowup solutionsplanetary sciencespartial differential equations

Global Well-Posedness for the Radial, Defocusing, Nonlinear Wave Equation for 3 P 5. American Journal of Mathematics (2024)

Benjamin Dodson

Global Well-Posedness of the Energy Subcritical Nonlinear Wave Equation With Initial Data in a Critical Space. Advances in Mathematics (2024)

Benjamin Dodson

A Liouville Theorem for the Chern–Simons–SchröDinger Equation. Discrete and Continuous Dynamical Systems (2023)

Benjamin Dodson

liouville theoremdiscrete dynamical systemschern-simons-schrodinger equationdynamical systems

Sharp Global Well-Posedness and Scattering for the Radial Conformal Nonlinear Wave Equation. International Mathematics Research Notices (2023)

Benjamin Dodson

Spacetime Integral Bounds for the Energy-Critical Nonlinear Wave Equation. Proceedings of the American Mathematical Society (2023)

Benjamin Dodson

Global Well-Posedness of the Radial Conformal Nonlinear Wave Equation With Initial Data in a Critical Space. arXiv (Cornell University) (2022)

Dodson, Benjamin

nonlinear phenomenanonlinear systemsglobal well-posednessnonlinear wave propagationglobal analysisnonlinear equationscritical spaceinitial dataapplied mathematics

Scattering for the Defocusing, Nonlinear SchröDinger Equation With Initial Data in a Critical Space. International Mathematics Research Notices (2022)

Benjamin Dodson

mathematicswave scatteringcritical spacenonlinear schrodinger equationinitial dataapplied mathematics

Global Well-Posedness for the Cubic Nonlinear SchröDinger Equation With Initial Data Lying in L P -Based Sobolev Spaces. Journal of Mathematical Physics (2021)

Benjamin DodsonAvraham SofferThomas Spencer

global well-posednesssobolev spacesmathematical physicsmathematicsinitial dataapplied mathematics

Global Well-Posedness for the Defocusing, Cubic Nonlinear SchröDinger Equation With Initial Data in a Critical Space. Revista Matemática Iberoamericana (2021)

Benjamin Dodson

earth scienceglobal well-posednessnonlinear wave propagationfluid dynamicscritical spaceinitial data

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