scientific article; zbMATH DE number 7351948
zbMath1468.35190MaRDI QIDQ4990097
Publication date: 28 May 2021
Full work available at URL: https://online.watsci.org/abstract_pdf/2021v28/v28n4a-pdf/1.pdf
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
regularityglobal attractornonlinear Schrödinger equationCrank-Nicolson schemefractal dimensionattractor convergencenonlocal integral term
Smoothness and regularity of solutions to PDEs (35B65) Attractors (35B41) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11) Numerical solutions to abstract evolution equations (65J08) Time-dependent Schrödinger equations and Dirac equations (35Q41) Integro-partial differential equations (35R09)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Attractor for the nonlinear Schrödinger equation with a nonlocal nonlinear term
- Semi-discrete weakly damped nonlinear 2-D Schrödinger equation.
- Existence and finite dimensionality of the global attractor for evolution equations on unbounded domains
- Discrete Schrödinger equations and dissipative dynamical systems
- Finite dimensional behavior for weakly damped driven Schrödinger equations
- Finite-difference solutions of a non-linear Schrödinger equation
- On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation
- The attractor of a Navier-Stokes system in an unbounded channel-like domain
- Global attractors for damped semilinear wave equations.
- Attractors and dimensions for discretizations of a NLS equation with a non-local nonlinear term
- Attractors for second-order evolution equations with a nonlinear damping
- The finite dimension behavior of the Schrödinger equation with nonlocal integral nonlinearity
- Long-time behaviour for weakly damped driven nonlinear Schrödinger equations in \(\mathbb{R}^ N, N\leq 3\)
- An energy equation for the weakly damped driven nonlinear Schrödinger equations and its application to their attractors
- On a time discretization of a weakly damped forced nonlinear Schrödinger equation
- Upper Semicontinuity of Attractors for Approximations of Semigroups and Partial Differential Equations
- Attractor for a Navier-Stokes flow in an unbounded domain
- Attractors and dimensions for discretizations of a weakly damped Schrödinger equation and a Sine-Gorden equation
- Attractors for semilinear damped wave equations on 3
- Topics on Solitons in Plasmas
- Set convergence for discretizations of the attractor
- Attractors of partial differential evolution equations in an unbounded domain
This page was built for publication: