Found 110 Documents (Results 1–100)
Approximation diffusion for the nonlinear Schrödinger equation with a random potential. (English) Zbl 07898734
Recent progress on multi-bubble blow-ups and multi-solitons to (stochastic) focusing nonlinear Schrödinger equations. (English) Zbl 07879427
Global and local solutions of stochastic nonlinear Schrödinger system with quadratic interaction. (English) Zbl 1542.35463
An adaptive time-stepping fully discrete scheme for stochastic NLS equation: strong convergence and numerical asymptotics. (English) Zbl 1540.60161
Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlinearity. II: Dynamics. (English) Zbl 1541.60042
Reviewer: Denis R. Bell (Jacksonville)
Global well-posedness of the energy-critical stochastic nonlinear wave equations. (English) Zbl 1537.35243
Solution theory to semilinear stochastic equations of Schrödinger type on curved spaces. I: Operators with uniformly bounded coefficients. (English) Zbl 1537.35431
Invariant measures for a stochastic nonlinear and damped 2D Schrödinger equation. (English) Zbl 1530.35273
Reviewer: Rémi Carles (Rennes)
Stochastic nonlinear Schrödinger equations in the defocusing mass and energy critical cases. (English) Zbl 1538.35355
Conformal structure-preserving schemes for damped-driven stochastic nonlinear Schrödinger equation with multiplicative noise. (English) Zbl 07776980
A stochastic thermalization of the discrete nonlinear Schrödinger equation. (English) Zbl 1534.35366
Reviewer: Chenjie Fan (Beijing)
Well-posedness and large deviations for 2D stochastic Navier-Stokes equations with jumps. (English) Zbl 1519.35220
Reviewer: Piotr Biler (Wrocław)
The stochastic nonlinear Schrödinger equations driven by pure jump noise. (English) Zbl 1518.60061
Reviewer: Alain Brillard (Riedisheim)
Analysis of a splitting scheme for a class of nonlinear stochastic Schrödinger equations. (English) Zbl 07699030
Ergodic results for the stochastic nonlinear Schrödinger equation with large damping. (English) Zbl 1511.35320
Reviewer: Jiqiang Zheng (Beijing)
Construction of minimal mass blow-up solutions to rough nonlinear Schrödinger equations. (English) Zbl 1505.35120
Effective approximation for a nonlocal stochastic Schrödinger equation with oscillating potential. (English) Zbl 1504.60101
Strichartz and local smoothing estimates for stochastic dispersive equations with linear multiplicative noise. (English) Zbl 1507.35222
Reviewer: Vedran Sohinger (Coventry)
A note on log-log blow up solutions for stochastic nonlinear Schrödinger equations. (English) Zbl 1501.35370
Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise. (English) Zbl 1502.35207
Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3d compact manifolds. (English) Zbl 1499.60213
Stochastic global momentum-preserving schemes for two-dimensional stochastic partial differential equations. (English) Zbl 1495.65141
On backward problems for stochastic fractional reaction equations with standard and fractional Brownian motion. (English) Zbl 1503.60085
A charge-preserving compact splitting method for solving the coupled stochastic nonlinear Schrödinger equations. (English) Zbl 1504.35462
Stochastic nonlinear Schrödinger equation on half-line with boundary noise. (English) Zbl 1491.35404
Well-posedness of stochastic 2D hydrodynamics type systems with multiplicative Lévy noises. (English) Zbl 1487.60127
Random tensors, propagation of randomness, and nonlinear dispersive equations. (English) Zbl 1506.35208
Stable numerical methods for a stochastic nonlinear Schrödinger equation with linear multiplicative noise. (English) Zbl 1484.65216
Global well-posedness for the defocussing mass-critical stochastic nonlinear Schrödinger equation on \(\mathbb{R}\) at \(L^2\) regularity. (English) Zbl 1490.35412
Behavior of solutions to the 1D focusing stochastic nonlinear Schrödinger equation with spatially correlated noise. (English) Zbl 1481.35419
Strong solution to stochastic penalised nematic liquid crystals model driven by multiplicative Gaussian noise. (English) Zbl 1483.60089
Decay of the stochastic linear Schrödinger equation in \(d\geq3\) with small multiplicative noise. (English) Zbl 1476.35216
A Wong-Zakai theorem for the stochastic mass-critical nonlinear Schrödinger equation. (English) Zbl 1475.35316
On a class of stochastic partial differential equations with multiple invariant measures. (English) Zbl 1469.37055
The stochastic Strichartz estimates and stochastic nonlinear Schrödinger equations driven by Lévy noise. (English) Zbl 1465.60058
Reviewer: Oleg K. Zakusilo (Kyïv)
A nonlinear Schrödinger equation with fractional noise. (English) Zbl 1473.60096
Reviewer: Dimitra Antonopoulou (Chester)
Stochastic nonlinear Schrödinger equation with Brown-noise boundary conditions of mixed type. (English) Zbl 1459.35323
On the stochastic nonlinear Schrödinger equations at critical regularities. (English) Zbl 1452.35192
MSC:
35Q55
Stochastic nonlinear Schrödinger equation on an upper-right quarter plane with Dirichlet random boundary. (English) Zbl 1454.35343
On the stochastic nonlinear Schrödinger equations with nonsmooth additive noise. (English) Zbl 1454.35349
Global solution and blow-up of the stochastic nonlinear Schrödinger system. (English) Zbl 1452.81109
The stochastic nonlinear Schrödinger equation in unbounded domains and non-compact manifolds. (English) Zbl 1448.35426
Optimal bilinear control of stochastic nonlinear Schrödinger equations: mass-(sub)critical case. (English) Zbl 1447.60127
Stochastic nonlinear Schrödinger equation with almost space-time white noise. (English) Zbl 1442.35418
Weak martingale solutions for the stochastic nonlinear Schrödinger equation driven by pure jump noise. (English) Zbl 1439.35584
Reviewer: Martin Ondreját (Praha)
Finite-time singularity of the stochastic harmonic map flow. (English. French summary) Zbl 1427.60124
On the probabilistic Cauchy theory for nonlinear dispersive PDEs. (English) Zbl 1418.35389
Boggiatto, Paolo (ed.) et al., Landscapes of time-frequency analysis. Based on talks given at the inaugural conference on aspects of time-frequency analysis, Turin, Italy, July 5–7, 2018. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 1-32 (2019).
MSC:
35R60
The nonlinear Schrödinger equation driven by jump processes. (English) Zbl 1480.60255
Reviewer: Alexander Schnurr (Siegen)
Strong convergence rate of splitting schemes for stochastic nonlinear Schrödinger equations. (English) Zbl 1431.60066
The nonlinear stochastic Schrödinger equation via stochastic Strichartz estimates. (English) Zbl 1401.35257
Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise. (English) Zbl 1431.60053
Analysis of time fractional and space nonlocal stochastic nonlinear Schrödinger equation driven by multiplicative white noise. (English) Zbl 1392.60059
Analysis of a splitting scheme for damped stochastic nonlinear Schrödinger equation with multiplicative noise. (English) Zbl 1391.60165
Some results on discrete eigenvalues for the stochastic nonlinear Schrödinger equation in fiber optics. (English) Zbl 1393.35226
A random Schrödinger equation with time-oscillating nonlinearity and linear dissipation/gain. (English) Zbl 1383.35212
Global energy solutions to a stochastic Schrödinger-Poisson system with multiplicative noise in two dimensions. (English) Zbl 1411.35294
Existence of invariant measures for the stochastic damped Schrödinger equation. (English) Zbl 1379.60066
Stochastic symplectic and multi-symplectic methods for nonlinear Schrödinger equation with white noise dispersion. (English) Zbl 1380.65417
Stochastic nonlinear Schrödinger equations: no blow-up in the non-conservative case. (English) Zbl 1378.60088
Strong convergence rate of finite difference approximations for stochastic cubic Schrödinger equations. (English) Zbl 1371.60122
Reviewer: Martin Ondreját (Praha)
Existence of invariant measures for some damped stochastic dispersive equations. (Existence de mesures invariantes pour des équations dispersives stochastiques.) (English. French summary) Zbl 1373.35271
Reviewer: Ahmed Lesfari (El Jadida)
Stochastic symplectic Runge-Kutta methods for the strong approximation of Hamiltonian systems with additive noise. (English) Zbl 1367.65015
Random attractor of stochastic complex Ginzburg-Landau equation with multiplicative noise on unbounded domain. (English) Zbl 1364.60083
Numerical analysis on ergodic limit of approximations for stochastic NLS equation via multi-symplectic scheme. (English) Zbl 1382.37088
The stochastic logarithmic Schrödinger equation. (English. French summary) Zbl 1360.60119
Reviewer: Ruhollah Jahanipur (Kashan)
Symplectic Runge-Kutta semidiscretization for stochastic Schrödinger equation. (English) Zbl 1347.65010
Convergence of a \(\theta \)-scheme to solve the stochastic nonlinear Schrödinger equation with Stratonovich noise. (English) Zbl 1362.65012
Reviewer: Kevin Burrage (Brisbane)
Blow-up for the stochastic nonlinear Schrödinger equations with quadratic potential and additive noise. (English) Zbl 1337.60138
Strong solutions to stochastic hydrodynamical systems with multiplicative noise of jump type. (English) Zbl 1326.60089
Variational solution of stochastic Schrödinger equations with power-type nonlinearity. (English) Zbl 1325.60109
Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach. (English) Zbl 1300.35116
On the stochastic Strichartz estimates and the stochastic nonlinear Schrödinger equation on a compact Riemannian manifold. (English) Zbl 1304.58019
Reviewer: Wanyang Dai (Nanjing)
A note on stochastic Schrödinger equations with fractional multiplicative noise. (English) Zbl 1290.60065
MSC:
60H15
A diffusion approximation theorem for a nonlinear PDE with application to random birefringent optical fibers. (English) Zbl 1261.35156
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