Damped schrodinger equation
WebLogarithmic decay for damped hypoelliptic wave and Schrödinger equations Camille Laurent∗and Matthieu Léautaud† June 11, 2024 Abstract We consider damped wave (resp. Schrödinger and plate) equations driven by a hypoelliptic “sum of squares” operator L on a compact manifold and a damping function b(x). We assume the Chow- WebMar 24, 2024 · The Schrödinger equation describes the motion of particles in nonrelativistic quantum mechanics, and was first written down by Erwin Schrödinger. The time …
Damped schrodinger equation
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WebJun 9, 2015 · We investigate the initial value problem for a semi-linear fractional damped Schrödinger equation. Global existence and scattering are proved depending on the size of the damping coefficient. Acknowledgments T. Saanouni is grateful to the Laboratory of PDE and Applications at the Faculty of Sciences of Tunis. REFERENCES 1. WebOlivier Goubet, Asymptotic smoothing effect for a weakly damped nonlinear Schrodinger equation in T 2, J. Differential Equations, 165 (2000), 96–122. ... Resolution of a …
WebAdvances in Differential Equations. We consider the Cauchy problem for the $L^{2}$-critical damped nonlinear Schrödinger equation. WebJan 1, 2024 · In this paper, we construct two dissipation-preserving prediction-correction schemes for the damped nonlinear Schrödinger equation. The temporal second-order scheme is implicit, but it only requires solving some scalar nonlinear equations in the prediction step plus a scalar quadratic equation in the correction step. The temporal …
WebIn this paper, we investigate the damped stochastic nonlinear Schrödinger (NLS) equation with multiplicative noise and its splitting-based approximation. When the damped effect … WebMay 1, 1999 · PERGAMON Applied Mathematics Letters 12 (1999) 45--48 Applied Mathematics Letters Regularity of the Attractor for a Weakly Damped Nonlinear SchrSdinger Equation on R N. AKROUNE Univ~rsit~ de Cergy-Pontoise 2, Avenue Adolphe Chauvin 95302 Cergy, Pontoise, France Akroune~math. psi. u-cergy, fr …
WebJun 13, 2024 · Invariant measures for a stochastic nonlinear and damped 2D Schrödinger equation. Zdzisław Brzeźniak, Benedetta Ferrario, Margherita Zanella. We consider a stochastic nonlinear defocusing Schrödinger equation with zero-order linear damping, where the stochastic forcing term is given by a combination of a linear …
WebJan 17, 2024 · In this paper, we consider the well-posedness of the weakly damped stochastic nonlinear Schrödinger(NLS) equation driven by multiplicative noise. First, we show the global existence of the unique solution for the damped stochastic NLS equation in critical case. Meanwhile, the exponential integrability of the solution is proved, which … chuck\u0027s boots st charles moWebApr 30, 2015 · In this article we consider the Petrovsky equation u tt + Δ2 u − Δu t + u t m−1 u t = u p−1 u. We prove the global existence of the solution under conditions without any relation between m... desserts made with little debbie cakesWebMar 1, 2024 · odinger equation (NLS) has been applied widely to simulate the evolution of wa ve packets in nonlinear and dispersive media. It can describe man y … chuck\u0027s boots saint peters moWebSep 30, 2024 · damped forced nonlinear logarithmic Schrodinger equations. Mathematics Subject Classification: Primary: 35Q55; Secondary: 35B41. Citation: Full Text(HTML) Related Papers ... Finite dimensional behavior for the weakly damped driven Schrödinger equations, Ann. Inst. H. Poincaré Anal. Non Linéaire, 5 (1988), 365-405. doi: … desserts made with lemon juiceWebThis paper introduces an extension of the time-splitting sine-spectral (TSSP) method for solving damped focusing nonlinear Schrodinger equations (NLS). The method is explicit, unconditionally stable and time transversal invariant. Moreover, it preserves the exact decay rate for the normalization of the wave function if linear damping terms are added to the … desserts made with maple syrupWebMay 22, 2008 · The following coupled damped Klein-Gordon-Schrödinger equations are considered i\psi_ {t} +\triangle\psi + i\alpha \psi ^ {2}\psi = \phi\psi\,\, {\rm in}\,\,\Omega \times (0,\infty), (\alpha > 0) \phi_ {tt} - \triangle\phi + a (x)\phi_ {t} = \psi ^ {2} {\mathcal {X}}_ {\omega}\, {\rm in}\,\Omega \times (0,\infty), chuck\u0027s boots st louis locationsWebApr 13, 2024 · Nonlinear evolution equations (NLEEs) can be used to represent a wide range of complicated physical processes and have applications in many areas of research, including physics, chemistry, biology, astronomy, and others [1, 3, 8, 10, 15, 20].Several researchers have suggested different approaches to find its analytical solutions, e.g., the … chuck\\u0027s boots st peters