搜索结果: 16-30 共查到“理学 Wave equations”相关记录48条 . 查询时间(0.156 秒)
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...
Strichartz estimates for Dirichlet-wave equations in two dimensions with applications
Strichartz estimtes Strauss conjecture obstacles
2011/2/21
We establish the Strauss conjecture for nontrapping obstacles when the spatial dimension n is two. As pointed out in [7] this case is more subtle than n = 3 or 4 due to the fact that the arguments of ...
Multiplicity and regularity of periodic solutions for a class of degenerate semilinear wave equations
Multiplicity regularity of periodic solutions class of degenerate semilinear wave equations
2011/2/28
We prove the existence of infinitely many classical periodic solutions for a class of degenerate semilinear wave equations:utt − uxx + |u|s−1u = f(x, t),for all s > 1. In particular we pro...
Differential transform solution of some linear wave equations with mixed nonlinear boundary conditions and its blow up
Wave Equation Series Solution Energy Equation, Blow up
2010/9/20
Using Differential Transform to solve blow up solutions of some linear wave equation with mixed non-linear boundary conditions is proposed in this study.Non-linear boundary conditions cause the finite...
Abstract Wave Equations and Associated Dirac-Type Operators
Dirac operators supersymmetry wave equations semigroups
2011/2/25
We discuss the unitary equivalence of generators GA,R associated with abstract damped wave equations of the type u¨+Ru˙ +AAu = 0 in some Hilbert space H1 and certain non-self-adjoint Dirac-type opera...
Reduction of Multidimensional Wave Equations to Two-Dimensional Equations: Investigation of Possible Reduced Equations
Mathematical Physics (math-ph) Analysis of PDEs (math.AP) Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/11
We study possible Lie and non-classical reductions of multidimensional wave equations and the special classes of possible reduced equations - their symmetries and equivalence classes. Such investigati...
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...
Lower bound of the lifespan of solutions to semilinear wave equations in an exterior domain
Lower bound lifespan of solutions semilinear wave equations
2010/11/30
We consider the Cauchy-Dirichlet problem for semilinear wave equations in a three space dimensional domain exterior to a bounded and non-trapping obstacle. We obtain a detailed estimate for the lower ...
Multiplicity and regularity of large periodic solutions with rational frequency for a class of semilinear wave equations
Multiplicity regularity of large periodic solutions rational frequency semilinear wave equations
2010/12/6
grande, pour une classe d’´equations semilin´eaires avec des conditions p´eriodiques sur le bord: utt − uxx = f(x, u),u(0, t) = u(, t) , ux(0, t) = ux(, t).Notre m´etho...
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.
Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations
Nonlocal Cauchy problem Boussinesq equation Global existence Blow-up
2010/12/1
We study the initial-value problem for a general class of nonlinear nonlocal coupled wave equations. The problem involves convolution operators with kernel functions whose Fourier transforms are nonne...
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...
THE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS FOR A CLASS OF QUASILINEAR WAVE EQUATIONS WITH CUBIC NONLINEARITY IN TWO SPACE DIMENSIONS
Quasilinear wave equation lif
2007/12/11
For a class of quasilinear wave equations with small initial data, first we give the lower bound of lifespan of classical solutions, then we discuss the long time asymptotic behaviour of solutions awa...
A Kind of Discrete Non-Reflecting Boundary Conditions for Varieties of Wave Equations
Wave equations non-reflecting boundary conditions
2007/12/11
In this paper, a new kind of discrete non-reflecting boundary conditions is developed. It can be used for a variety of wave equations such as the acoustic wave equation, the isotropic and anisotropic ...
On Boundary Stability of Wave Equations with Variable Coefficients
wave equation exponential decay boundary stabilization
2007/12/10
In this paper, we consider the boundary stabilization of the wave equation with variable coefficients by Riemannian geometry method subject to a different geometric condition which is motivated by the...