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Research.com Recognitions

  • 2015 - Fellow of the American Mathematical Society For contributions to nonlinear partial differential equations and mathematical physics.

Overview

Hans Lindblad is affiliated with Johns Hopkins University in the United States. Their research primarily focuses on advanced mathematical physics and related fields, including nonlinear partial differential equations and mathematical physics.

The main fields of study associated with their work are:

  • Mathematics
  • Physics and Astronomy

Within these disciplines, subfields of study include:

  • Mathematical Physics
  • Statistical and Nonlinear Physics
  • Applied Mathematics
  • Astronomy and Astrophysics
  • Nuclear and High Energy Physics

Themes frequently explored in their research cover:

  • Advanced Mathematical Physics Problems
  • Nonlinear Photonic Systems
  • Navier-Stokes Equation Solutions
  • Black Holes and Theoretical Physics
  • Cosmology and Gravitation Theories
  • Nonlinear Waves and Solitons
  • Numerical Methods in Inverse Problems

Hans Lindblad has published extensively in venues such as:

  • arXiv (Cornell University)
  • Archive for Rational Mechanics and Analysis
  • SIAM Journal on Mathematical Analysis
  • Journal of Hyperbolic Differential Equations
  • Communications in Partial Differential Equations

Some of their recent publications include:

  • "Decay and Asymptotics for the One-Dimensional Klein--Gordon Equation with Variable Coefficient Cubic Nonlinearities," 2020, SIAM Journal on Mathematical Analysis
  • "Asymptotics for 1D Klein-Gordon Equations with Variable Coefficient Quadratic Nonlinearities," 2021, Archive for Rational Mechanics and Analysis
  • "Scattering from infinity for semilinear wave equations satisfying the null condition or the weak null condition," 2023, Journal of Hyperbolic Differential Equations
  • "On Modified Scattering for 1D Quadratic Klein-Gordon Equations With Non-Generic Potentials," 2022, International Mathematics Research Notices
  • "Asymptotics and scattering for wave Klein-Gordon systems," 2023, Communications in Partial Differential Equations

Their frequent collaborators include:

  • Jonas Lührmann
  • Avy Soffer
  • Volker Schlue
  • Mihai Tohaneanu
  • Xuantao Chen

In recognition of their contributions, Hans Lindblad was named a Fellow of the American Mathematical Society in 2015 for work related to nonlinear partial differential equations and mathematical physics.

Best Publications

  • On Existence and Scattering with Minimal Regularity for Semilinear Wave Equations

    H. Lindblad;C.D. Sogge

  • Weighted Strichartz estimates and global existence for semilinear wave equations

    Vladimir Georgiev;Hans Lindblad;Christopher Donald Sogge

  • Well-posedness for the motion of an incompressible liquid with free surface boundary

    Hans Lindblad

  • The global stability of Minkowski space-time in harmonic gauge

    Hans Lindblad;Igor Rodnianski

  • On the motion of the free surface of a liquid

    Demetrios Christodoulou;Hans Lindblad

  • Global existence for the einstein vacuum equations in wave coordinates

    Hans Lindblad;Igor Rodnianski

  • Long-time existence for small amplitude semilinear wave equations

    Hans Lindblad;Christopher Donald Sogge

  • The weak null condition for Einstein's equations

    Hans Lindblad;Igor Rodnianski

  • A sharp counterexample to the local existence of low-regularity solutions to nonlinear wave equations

    Hans Lindblad

  • Counterexamples to local existence for semi-linear wave equations

    Hans Lindblad

  • Blow-up for solutions of □u=|u|p with small initial data.

    Hans Lindblad

  • On the lifespan of solutions of nonlinear wave equations with small initial data

    Hans Lindblad;Hans Lindblad

  • A remark on global existence for small initial data of the minimal surface equation in Minkowskian space time

    Hans Lindblad

  • Well Posedness for the Motion of a Compressible Liquid with Free Surface Boundary

    Hans Lindblad

  • A Priori Estimates for the Free-Boundary 3D Compressible Euler Equations in Physical Vacuum

    Daniel Coutand;Hans Lindblad;Steve Shkoller

  • Well-posedness for the linearized motion of an incompressible liquid with free surface boundary

    Hans Lindblad

  • Global solutions of quasilinear wave equations

    Hans Lindblad

  • Global solutions of nonlinear wave equations

    Hans Lindblad

  • A priori estimates for the free-boundary 3-D compressible Euler equations in physical vacuum

    Daniel Coutand;Hans Lindblad;Steve Shkoller

  • The global stability of the Minkowski space-time in harmonic gauge

    Hans Lindblad;Igor Rodnianski

Frequent Co-Authors

Avy Soffer
Avy Soffer Rutgers, The State University of New Jersey
Christopher D. Sogge
Christopher D. Sogge Johns Hopkins University
Igor Rodnianski
Igor Rodnianski Princeton University
Terence Tao
Terence Tao University of California, Los Angeles
Steve Shkoller
Steve Shkoller University of California, Davis
Wilhelm Schlag
Wilhelm Schlag Yale University

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