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第十届国际非线性波和混沌研讨会（10th International Nonlinear Wave and Chaos Workshop 2017）
第十届 国际非线性波和混沌 研讨会
2017/1/10
The 10th International Nonlinear Wave and Chaos Workshop (NWCW17) will be held in San Diego, California, 20-24 March 2017. Previous NWC Workshops were held in Kyoto, Japan (1994), Cologne, Germany (19...
New Bilinear Estimates for Quadratic-Derivative Nonlinear Wave Equations in 2+1 Dimensions
Bilinear Estimates Quadratic-Derivative Nonlinear
2014/12/8
This thesis is concerned with the Cauchy problem for the quadratic derivative nonlinear wave equation in two spatial dimensions. Using standard techniques, we reduce local well-posedness in Fourier Le...
Complete group classification of a class of nonlinear wave equations
Complete group classification nonlinear wave equations Analysis of PDEs
2011/7/26
Abstract: Preliminary group classification became prominent as an approach to symmetry analysis of differential equations due to the paper by Ibragimov, Torrisi and Valenti [J. Math. Phys. 32, 2988-29...
Adomian decomposition method (ADM) for nonlinear wave-like equations with variable coefficient
Adomian decomposition wave-like equation variable coefficient
2010/9/27
The Adomian Decomposition Method (ADM) has been widely applied in solving partial differential equations which represent various phenomena in engineering and physics. This method is easy to program an...
Asymptotic decay for a one-dimensional nonlinear wave equation
one-dimensional nonlinear wave equation math
2010/11/9
We consider the asymptotic behaviour of finite energy solutions to the one-dimensional defocusing nonlinear wave equation $-u_{tt} + u_{xx} = |u|^{p-1} u$, where $p > 1$. Standard energy methods guar...
The Null Condition and Global Existence for Nonlinear Wave Equations on Slowly Rotating Kerr Spacetimes
Null Condition Global Existence Nonlinear Wave Equations Rotating Kerr Spacetimes
2010/12/16
We study a semilinear equation with derivatives satisfying a null condition on slowly rotating Kerr spacetimes. We prove that given sufficiently small initial data, the solution exists globally in tim...
The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials
class of two-dimensional nonlocal nonlinear wave equatio elastic materials
2010/12/1
This paper is concerned with the analysis of the Cauchy problem of a general class of two-dimensional nonlinear nonlocal wave equations governing antiplane shear motions in nonlocal elasticity.
Two-point boundary value problems and exact controllability for several kinds of linear and nonlinear wave equations
wave equation two-point boundary value problem global exact controllability exact controllability Dirichlet boundary condition Neumann boundary condition hyperbolic curvature flow Gage-Hamilton’s theorem
2018/4/19
In this paper we introduce some new concepts for second-order hyperbolic equations: two-point boundary value problem, global exact controllability and exact controllability. For several kinds of impor...
Nonlinear wave energy modelling in the surf zone
Nonlinear wave energy modelling surf zone
2009/11/16
Breaking wave energy in the surf zone is modelled through the incorporation of the time dependent energy balance equation in a non linear dispersive wave propagation model. The energy equations solved...
Nonlinear wave-particle interaction upstream from the Earth's bow shock
Nonlinear wave-particle interaction upstream Earth's bow shock
2009/11/13
Well-defined ring-like backstreaming ion distributions have been recently reported from observations made by the 3DP/PESA-High analyzer onboard the WIND spacecraft in the Earth's foreshock at large di...
Experimental and numerical study of spatial and temporal evolution of nonlinear wave groups
Experimental and numerical study spatial and temporal evolution nonlinear wave groups
2009/11/2
The evolution along the tank of unidirectional nonlinear wave groups with narrow spectrum is studied both experimentally and numerically. Measurements of the instantaneous surface elevation within the...
Nonlinear Wave–Wave Interactions in a One-Layer Reduced-Gravity Model on the Equatorial β Plane
Nonlinear Wave–Wave Interactions Equatorial β Plane One-Layer Reduced-Gravity Model
2009/2/7
A one-layer reduced-gravity model in the unbounded equatorial β plane is the simplest way to study nonlinear effects in a tropical ocean. The free evolution of the system is constrained by the existen...
Wave Forces on Offshore Structures：Nonlinear Wave Diffraction by Large Cylinders
Wave Forces Large Cylinders Nonlinear Wave
2009/2/6
A nonlinear theory of wave diffraction is presented and used to evaluate the forces exerted On a cylinder of large diameter. A perturbation technique has been used to solve the problem with the inclus...
A New Coastal Wave Model. Part III：Nonlinear Wave–Wave Interaction
Coastal Wave Model Nonlinear Wave–Wave Interaction
2008/11/26
Resonant wave–wave interaction processes are studied with the nonlinear dispersion relationship for shallow water. The formulation was derived based on a Hamiltonian representation first reported by Z...
Multisymplectic Structure and Multisymplectic Scheme for the Nonlinear Wave Equation
multisymplectic structure multisymplectic schemes
2007/12/11
The multisymplectic structure of the nonlinear wave wquation is derived directly from the variational principle. In the numerical aspect, we present a multisymplectic nine points scheme which is equiv...