Orbital stability of Dirac solitons
DE Pelinovsky, Y Shimabukuro - Letters in Mathematical Physics, 2014 - Springer
We prove H 1 orbital stability of Dirac solitons in the integrable massive Thirring model by
working with an additional conserved quantity which complements Hamiltonian, momentum …
working with an additional conserved quantity which complements Hamiltonian, momentum …
Stability of standing periodic waves in the massive Thirring model
S Cui, DE Pelinovsky - Studies in Applied Mathematics, 2025 - Wiley Online Library
We analyze the spectral stability of the standing periodic waves in the massive Thirring
model in laboratory coordinates. Since solutions of the linearized MTM equation are related …
model in laboratory coordinates. Since solutions of the linearized MTM equation are related …
Uniformly accurate numerical schemes for the nonlinear Dirac equation in the nonrelativistic limit regime
We apply the two-scale formulation approach to propose uniformly accurate (UA) schemes
for solving the nonlinear Dirac equation in the nonrelativistic limit regime. The nonlinear …
for solving the nonlinear Dirac equation in the nonrelativistic limit regime. The nonlinear …
Global solutions to Gross–Neveu equation
H Huh - Letters in Mathematical Physics, 2013 - Springer
Global Solutions to Gross–Neveu Equation Page 1 DOI 10.1007/s11005-013-0622-9 Lett
Math Phys (2013) 103:927–931 Global Solutions to Gross–Neveu Equation HYUNGJIN …
Math Phys (2013) 103:927–931 Global Solutions to Gross–Neveu Equation HYUNGJIN …
Inverse scattering for the massive Thirring model
DE Pelinovsky, A Saalmann - Nonlinear Dispersive Partial Differential …, 2019 - Springer
We consider the massive Thirring model in the laboratory coordinates and explain how the
inverse scattering transform can be developed with the Riemann–Hilbert approach. The key …
inverse scattering transform can be developed with the Riemann–Hilbert approach. The key …
Global solution to nonlinear Dirac equation for Gross–Neveu model in 1+ 1 dimensions
Y Zhang, Q Zhao - Nonlinear Analysis: Theory, Methods & Applications, 2015 - Elsevier
This paper studies a class of nonlinear Dirac equations with cubic terms in R 1+ 1, which
include the equations for the massive Thirring model and the massive Gross–Neveu model …
include the equations for the massive Thirring model and the massive Gross–Neveu model …
[HTML][HTML] Time-frequency analysis of the Dirac equation
SI Trapasso - Journal of Differential Equations, 2020 - Elsevier
The purpose of this paper is to investigate several issues concerning the Dirac equation
from a time-frequency analysis perspective. More precisely, we provide estimates in …
from a time-frequency analysis perspective. More precisely, we provide estimates in …
Global strong solution to a nonlinear Dirac type equation in one dimension
Y Zhang - Nonlinear Analysis: Theory, Methods & Applications, 2013 - Elsevier
This paper studies a class of nonlinear massless Dirac equations in one dimension, which
include the equations for the massless Thirring model and the massless Gross–Neveu …
include the equations for the massless Thirring model and the massless Gross–Neveu …
The one-dimensional Dirac equation with concentrated nonlinearity
We define and study the Cauchy problem for a one-dimensional (1-D) nonlinear Dirac
equation with nonlinearities concentrated at one point. Global well-posedness is provided …
equation with nonlinearities concentrated at one point. Global well-posedness is provided …
LOW REGULARITY WELL-POSEDNESS FOR GROSS-NEVEU EQUATIONS.
H Huh, B Moon - Communications on Pure & Applied …, 2015 - search.ebscohost.com
We address the problem of local and global well-posedness of Gross-Neveu (GN) equations
for low regularity initial data. Combined with the standard machinery of X< sub> R, Y< sub> …
for low regularity initial data. Combined with the standard machinery of X< sub> R, Y< sub> …