搜索结果: 1-8 共查到“偏微分方程 evolution”相关记录8条 . 查询时间(0.194 秒)
A New Graded Algebra Structure on Differential Polynomials: Level Grading and its Application to the Classification of Scalar Evolution Equations in 1+1 Dimension
New Graded Algebra Structure Differential Polynomials Level Grading Classification of Scalar Evolution Equations 1+1 Dimension
2012/4/26
We define a new grading, that we call the "level grading", on the algebra of polynomials generated by the derivatives $u_{k+i}=\partial^{k+i}u/\partial x^{k+i}$ over the ring $K^{(k)}$ of $C^{\infty}$...
KdV equation in the quarter--plane: evolution of the Weyl functions and unbounded solutions
KdV initial–boundary value problem Weyl function evolution low–energy asymptotics blow–up solution
2011/9/1
Abstract: The matrix KdV equation with a negative dispersion term is considered in the right upper quarter--plane. The evolution law is derived for the Weyl function of a corresponding auxiliary linea...
Evolution Equations in Functional Derivatives of Many-Particle Systems
BBGKY hierarchy Liouville hierarchy generating functional functional derivative marginal observable
2011/8/25
Abstract: The hierarchies of evolution equations of classical many-particle systems are formulated as evolution equations in functional derivatives. In particular the BBGKY hierarchy for marginal dist...
Near soliton evolution for equivariant Schroedinger Maps in two spatial dimensions
equivariant Schroedinger Maps two spatial dimensions
2010/12/1
We consider the Schr¨odinger Map equation in 2 + 1 dimensions, with values into S2. This admits a lowest energy steady state Q, namely the stereographic projection,which extends to a two dimensional f...
In this paper we introduce a new geometric ow | the hyperbolic gradient ow for graphs in the (n + 1)-dimensional Euclidean space Rn+1.
A nonlinear inequality and evolution problems
nonlinear inequality Lyapunov stability evolution problems differential equations
2010/12/15
Assume that g(t) ≥ 0, and g˙(t) ≤ −γ(t)g(t) + α(t, g(t)) + β(t), t ≥ 0; g(0) = g0; g˙ :=
dg dt,on any interval [0, T ) on which g exists and has bounded derivative from the right, g˙(t) := lims...
New exact multi line soliton and periodic solutions with constant asymptotic values at infinity of the NVN integrable nonlinear evolution equation via dibar-dressing method
exact multi line soliton nonlinear evolution equation periodic solutions
2010/4/6
The classes of exact multi line soliton, periodic solutions and solutions with functional parameters, with constant asymptotic values at infinity u|_{xi^2+eta^2->infty}->-epsilon, for the hyperbolic a...
Convergence to Diffusion Waves for Nonlinear Evolution Equations with Ellipticity and Damping, and with Different End States
evolution equations diffusion waves decay rate energy method a priori estimates
2007/12/11
In this paper, we consider the global existence and the asymptotic behavior of solutions to the Cauchy problem for the following nonlinear evolution equations with ellipticity and dissipative effects:...