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Mathematics

D-Index
49
Citations
11038
World Ranking
1136
National Ranking
58

Overview

Joachim Escher is affiliated with the University of Hannover in Germany and has contributed extensively to the fields of Mathematics and Earth and Planetary Sciences. Their research spans numerous subfields including Applied Mathematics, Oceanography, Earth-Surface Processes, Mathematical Physics, and Ocean Engineering.

The main topics covered in their work include:

  • Ocean Waves and Remote Sensing
  • Coastal and Marine Dynamics
  • Nonlinear Partial Differential Equations
  • Wave and Wind Energy Systems
  • Navier-Stokes equation solutions
  • Differential Equations and Boundary Problems
  • Advanced Numerical Methods in Computational Mathematics

Joachim Escher has published research in several venues, with frequent contributions to:

  • Mitteilungen der Deutschen Mathematiker-Vereinigung
  • Journal of Mathematical Fluid Mechanics
  • University of Regensburg Publication Server (University of Regensburg)
  • Advances in Nonlinear Analysis
  • Mathematische Nachrichten

Selected recent papers authored or co-authored by them include:

  • Stratified periodic water waves with singular density gradients, 2020, University of Regensburg Publication Server (University of Regensburg)
  • Stratified periodic water waves with singular density gradients, 2020, Annali di Matematica Pura ed Applicata (1923 -)
  • The Mullins-Sekerka problem via the method of potentials, 2024, Mathematische Nachrichten

Other notable papers, although not solely authored by Escher, linked closely to their research interests are:

  • Variational Formulation of Rotational Steady Water Waves in Two-Layer Flows, 2021, Journal of Mathematical Fluid Mechanics
  • Variational Formulations of Steady Rotational Equatorial Waves, 2020, Advances in Nonlinear Analysis

Frequent co-authors in Joachim Escher's collaborative projects include:

  • Bogdan-Vasile Matioc
  • Jifeng Chu
  • Patrik Knopf
  • Christina Lienstromberg
  • Anca-Voichita Matioc

Best Publications

  • Wave breaking for nonlinear nonlocal shallow water equations

    Adrian Constantin;Joachim Escher

  • Global existence and blow-up for a shallow water equation

    Adrian Constantin;Joachim Escher

  • Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation

    Adrian Constantin;Joachim Escher

  • Particle trajectories in solitary water waves

    Adrian Constantin;Joachim Escher

  • Analyticity of periodic traveling free surface water waves with vorticity

    Adrian Constantin;Joachim Escher

  • On the blow-up rate and the blow-up set of breaking waves for a shallow water equation

    J. Escher;A. Constantin

  • Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation

    Zhaoyang Yin;Olaf Lechtenfeld;Joachim Escher

  • Global weak solutions and blow-up structure for the Degasperis–Procesi equation

    Joachim Escher;Yue Liu;Zhaoyang Yin;Zhaoyang Yin

  • Classical solutions for Hele-Shaw models with surface tension

    Joachim Escher;Gieri Simonett

  • Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation

    Joachim Escher;Yue Liu;Zhaoyang Yin

  • GLOBAL WEAK SOLUTIONS FOR A SHALLOW WATER EQUATION

    Adrian Constantin;Joachim Escher

  • Symmetry of steady periodic surface water waves with vorticity

    Adrian Constantin;Joachim Escher

  • Quasilinear parabolic systems with dynamical boundary conditions

    Joachim Escher

  • The surface diffusion flow for immersed hypersurfaces

    Joachim Escher;Uwe F. Mayer;Gieri Simonett

  • Classical solutions of multidimensional Hele-Shaw models

    Joachim Escher;Gieri Simonett

  • The volume preserving mean curvature flow near spheres

    Joachim Escher;Joachim Escher;Gieri Simonett

  • A Center Manifold Analysis for the Mullins–Sekerka Model

    Joachim Escher;Gieri Simonett

  • Well-posedness, blow-up phenomena, and global solutions for the b-equation

    Joachim Escher;Zhaoyang Yin

  • Analytic solutions for a Stefan problem with Gibbs-Thomson correction

    Joachim Escher;Jan Pruss;Gieri Simonett

  • Symmetry of steady deep-water waves with vorticity

    Adrian Constantin;Joachim Escher

Frequent Co-Authors

Herbert Amann
Herbert Amann University of Zurich
Adrian Constantin
Adrian Constantin University of Vienna
Zhaoyang Yin
Zhaoyang Yin Sun Yat-sen University
Philippe Laurençot
Philippe Laurençot Toulouse Mathematics Institute
Jan Prüss
Jan Prüss Martin Luther University Halle-Wittenberg
Yue Liu
Yue Liu The University of Texas at Arlington
Harald Garcke
Harald Garcke University of Regensburg
Yoshikazu Giga
Yoshikazu Giga University of Tokyo
Walter A. Strauss
Walter A. Strauss Brown University
Jonatan Lenells
Jonatan Lenells Royal Institute of Technology

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