Prof. Dr. Joachim Escher - Publications

• Selected Publications
  • (with Pierre Gosselet, Christina Lienstromberg): A note on model reduction for microelectromechanical systems,
    Nonlinearity 30 (2017), 454-465.
  • (with Christina Lienstromberg): Travelling waves in dilatant non-Newtonian thin films,
    J. Differential Equations 264 (2018), 2113-2132.
  • (with Boris Kolev): Geodesic completeness for Sobolev H^s-metrics on the diffeomorphism group of the circle, J. Evol. Equs. 14 (2014), 949-968.
  • (with Ph. Laurencot, Ch. Walker):  A parabolic free boundary problem modeling electrostatic MEMS.
    Arch. Ration. Mech. Anal. 211 (2014), 389 - 417.
    
  • Non-metric two-component Euler equations on the circle,
    Monatshefte für  Mathematik, 167 (2012), 449-459.
  • (with A. Constantin): Analyticity of Periodic Traveling Free Surface Water Waves with Vorticity,
    Annals of Mathematics, 173 (2011), 559-568.
  • (mit B. Kolev): The Degasperis-Procesi equation as a non-metric Euler equation,
    Mathematische Zeitschrift, 269 (2011), 1137-1153.
  • (with M. Hillairet, Ph. Laurencot, Ch. Walker): Thin Film Equations with Soluble Surfactant and Gravity: Modeling and Stability of Steady States,
    Mathematische Nachrichten 285 (2012), 210–222.
  • (with Ph. Laurencot, B. Matioc): Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media,
    Ann. Inst. H. Poincare Anal. Non Lineaire 28 (2011), 583-598.
  • (with A. Matioc): Well-posedness and stability analysis for a moving boundary problem modelling the growth of nonnecrotic tumors,
    Disc. Cont. Dyn. Syst., B,15 (2011), 573 - 596.
  • (with M. Kohlmann, J. Lenells) The geometry of the two-component Camassa-Holm and Degasperis-Procesi equations,
    J. Geom. Phys. 61 (2011),  436–452.
  • (with S. Cui): Well posedness and stability of a multi-dimensional tumor growth model,
    Arch. Ration. Mech. Anal. 191 (2009), 173 - 193.
  • (with Z.Yin): Well-posedness, blow-up phenomena and global solutions for the b-equation,
    J. Reine Angew. Math. 624 (2008), 51 - 80.
  • (with K.Ito): Some dynamic properties of volume preserving curvature driven flows,
    Math. Ann 333 (2005), 213 - 230.
  • (with A. Constantin): Wave breaking for nonlinear nonlocal shallow water equations,
    Acta Mathematica, 181 (1998), 229 - 243.
  • (with A. Constantin): Well-posedness, global existence, and blow-up phenomena for a periodic quasi-linear hyperbolic equation,
    Comm. Pure Appl. Math., LI (1998), 443 - 472.