Publications (21)
Local structure of singular profiles for a Derivative Nonlinear Schrödinger Equation
Yuri Cher, Gideon Simpson, Catherine Sulem
Ill-posedness of degenerate dispersive equations
David M. Ambrose, Gideon Simpson, J. Douglas Wright +1
Coherent Structures and Carrier Shocks in the Nonlinear Periodic Maxwell Equations
Gideon Simpson, Michael I. Weinstein
Existence theory for magma equations in dimension two and higher
David M. Ambrose, Gideon Simpson, J. Douglas Wright +1
Focusing Singularity in a Derivative Nonlinear Schrödinger Equation
Xiao Liu, Gideon Simpson, Catherine Sulem
Behavior of a Model Dynamical System with Applications to Weak Turbulence
James E. Colliander, Jeremy L. Marzuola, Tadahiro Oh +1
Asymptotic Stability of Ascending Solitary Magma Waves
Gideon Simpson, Michael I. Weinstein
A Multiscale Model of Partial Melts 1: Effective Equations
Gideon Simpson, Marc Spiegelman, Michael I. Weinstein
Local Existence Theory for Derivative Nonlinear Schrödinger Equations with Non-Integer Power Nonlinearities
David M. Ambrose, Gideon Simpson
Asymptotic Stability of high-dimensional Zakharov-Kuznetsov solitons
Raphaël Côte, Claudio Muñoz, Didier Pilod +1
Embedded Eigenvalues and the Nonlinear Schrodinger Equation
Reza Asad, Gideon Simpson
Arrest of Langmuir wave collapse by quantum effects
Gideon Simpson, Catherine Sulem, Pierre-Louis Sulem
Broad Band Solitons in a Periodic and Nonlinear Maxwell System
Dmitry Pelinovsky, Gideon Simpson, Michael I. Weinstein
Vortex Collapse for the L2-Critical Nonlinear Schrödinger Equation
Gideon Simpson, Ian Zwiers
Kullback-Leibler Approximation for Probability Measures on Infinite Dimensional Spaces
Frank Pinski, Gideon Simpson, Andrew Stuart +1
A Multiscale Model of Partial Melts 2: Numerical Results
Gideon Simpson, Marc Spiegelman, Michael I. Weinstein
Stability of Solitary Waves for a Generalized Derivative Nonlinear Schrödinger Equation
Xiao Liu, Gideon Simpson, Catherine Sulem
Dynamics near a minimal-mass soliton for a Korteweg-de Vries equation
Jeremy L. Marzuola, Sarah Raynor, Gideon Simpson
Degenerate dispersive equations arising in the study of magma dynamics
Gideon Simpson, Marc Spiegelman, Michael I. Weinstein
Existence and Stability Properties of Radial Bound States for Schrödinger-Poisson with an External Coulomb Potential in Three Space Dimensions
Sarah Raynor, Jeremy L. Marzuola, Gideon Simpson
On a Hamiltonian PDE arising in Magma Dynamics
Gideon Simpson, Michael I. Weinstein, Philip Rosenau