Zobrazeno 1 - 10
of 5 833
pro vyhledávání: '"Toan T"'
Autor:
Nguyen, Toan T.
In plasma physics, collisionless charged particles are transported following the dynamics of a meanfield Vlasov equation with a self-consistent electric field generated by the charge density. Due to the long range interaction between particles, the g
Externí odkaz:
http://arxiv.org/abs/2410.13703
Autor:
Nguyen, Toan T., You, Chanjin
We establish the asymptotic behavior and decay of solutions near vacuum to the Hartree equation with the Coulomb interaction potential in three dimensions. Our approach is direct, which consists of independently deriving the sharp dispersive decay es
Externí odkaz:
http://arxiv.org/abs/2408.15860
Publikováno v:
Appl. Numer. Math. 205 (2024) 215
Solitons of the purely cubic nonlinear Schr\"odinger equation in a space dimension of $n \geq 2$ suffer critical and supercritical collapses. These solitons can be stabilized in a cubic-quintic nonlinear medium. In this paper, we analyze the Crank-Ni
Externí odkaz:
http://arxiv.org/abs/2407.12311
In this work, we consider the relativistic Vlasov-Maxwell system, linearized around a spatially homogeneous equilibrium, set in the whole space $\mathbb{R}^3 \times \mathbb{R}^3$. The equilibrium is assumed to belong to a class of radial, smooth, rap
Externí odkaz:
http://arxiv.org/abs/2402.11402
Autor:
Peleg, Avner, Huynh, Toan T.
Publikováno v:
Physica D 466 (2024) 134222
We investigate propagation of J soliton sequences in a nonlinear optical waveguide array with generic weak Ginzburg-Landau (GL) gain-loss and nearest-neighbor (NN) interaction. The propagation is described by a system of J perturbed coupled nonlinear
Externí odkaz:
http://arxiv.org/abs/2401.17685
Publikováno v:
Comput. Math. Appl. 167 (2024) 160
We analyze a Crank-Nicolson finite difference discretization for the perturbed (2+1)D nonlinear Schr\"odinger equation with saturable nonlinearity and a perturbation of cubic loss. We show the boundedness, the existence and uniqueness of a numerical
Externí odkaz:
http://arxiv.org/abs/2306.12287
Autor:
Nguyen, Toan T., You, Chanjin
In this work, we establish the existence and decay of {\em plasmons}, the quantum of Langmuir's oscillatory waves found in plasma physics, for the linearized Hartree equations describing an interacting gas of infinitely many fermions near general tra
Externí odkaz:
http://arxiv.org/abs/2306.03800
Autor:
Nguyen, Toan T.
In this paper, we establish the large time asymptotic behavior of solutions to the linearized Vlasov-Poisson system near general spatially homogenous equilibria $\mu(\frac12|v|^2)$ with connected support on the torus $\mathbb{T}^3_x \times \mathbb{R}
Externí odkaz:
http://arxiv.org/abs/2305.08672
Autor:
Peleg, Avner, Huynh, Toan T.
Publikováno v:
Indian J Phys 98, 1365-1385 (2024)
We investigate the dynamics of fast two-pulse collisions in linear diffusion-advection systems with weak quadratic loss in spatial dimension 2. We introduce a two-dimensional perturbation method, which generalizes the perturbation method used for stu
Externí odkaz:
http://arxiv.org/abs/2211.04303
In this paper, we show that depending on the sign of the electric charge $Q$, the charged AdS black hole (BH) possesses two alternative facets when the cosmological constant is identified to the thermodynamic pressure $P$. It is discovered that: 1) t
Externí odkaz:
http://arxiv.org/abs/2210.10457