Results 251 to 260 of about 419,406 (294)

A Stochastic Nonlinear Evolution Equation

Zeitschrift für Analysis und ihre Anwendungen, 1992
A stochastic evolution equation for processes with values in two orthogonal subspaces of a Hilbert space is considered. Such types of equations arise in the study of quasistatic processes of elastic viscoplastic materials with random disturbances. Using the theory of Hilbert space valued Ito equations an existence and uniqueness theorem is proved ...
openaire   +2 more sources

DYNAMIC BIFURCATION OF NONLINEAR EVOLUTION EQUATIONS

Chinese Annals of Mathematics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, Tian, Wang, Shouhong
openaire   +1 more source

Nonlinear evolution equations and nonlinear ergodic theorems

Nonlinear Analysis: Theory, Methods & Applications, 1977
Publisher Summary This chapter discusses nonlinear evolution equations and nonlinear ergodic theorems. It discusses certain aspects of the asymptotic behavior of generalized solutions of nonlinear evolution equations and of nonlinear nonexpansive semigroups in Banach spaces.
openaire   +1 more source

Nonlinear-Evolution Equations of Physical Significance

Physical Review Letters, 1973
Summary: We present the inverse scattering method which provides a means of solution of the initial-value problem for a broad class of nonlinear evolution equations. Special cases include the sine-Gordon equation, the sinh-Gordon equation, the Benney-Newell equation, the Korteweg-de Vries equation, the modified Korteweg-de Vries equation, and ...
Ablowitz, Mark J., Kaup, David J., Newell, Alan C., Segur, Harvey   +3 more
openaire   +1 more source

Nonlinear Evolution Equations

1995
Holder estimates of solutions to initial-boundary value problems for parabolic equations of nondivergent form with Wentzel boundary condition by D. E. Apushkinskaya and A. I. Nazarov Reverse Holder inequalities with boundary integrals and $L_p$-estimates for solutions of nonlinear elliptic and parabolic boundary-value problems by A. A.
openaire   +1 more source

`Solitoff' Solutions of Nonlinear Evolution Equations

Journal of the Physical Society of Japan, 1996
Summary: Dromions are exact, localized solutions of \((2+1)\) dimensional evolution equations and decay exponentially in all directions. `Solitoffs' of the Davey-Stewartson equations constitute an intermediate state between dromions and plane solitons, since they decay exponentially in all directions except a preferred one. Here solitoffs are rederived
openaire   +2 more sources

Evolution equation for nonlinear Scholte waves

IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 1998
The evolution equations for nonlinear Scholte waves (finite amplitude elastic waves propagating along liquid/solid interface), which account for the second order nonlinearity of a liquid, are derived for the first time. For mathematical simplicity the nonlinearity of the solid, which influence is expected to be weak in the case of weak localization of ...
V E, Gusev, W, Lauriks, J, Thoen
openaire   +2 more sources

Dissipative Nonlinear Evolution Equations and Chaos

Studies in Applied Mathematics, 1998
In this article we have studied the nonlinear interaction between ellipticity and dissipation in a set of model equations (1.1) and established the relation between this interaction and chaos. In addition to theoretical investigations, extensive numerical simulations with these equations have been made, and different routes to chaos have been found ...
Hsieh, Dinyu, Tang, Shaoqiang, Wang, Xiao Ping, Wu, Li Xin   +3 more
openaire   +2 more sources

On Nonlinear Evolution Equations for Occupancies

Journal of Mathematical Sciences, 2001
For any natural number \(N\) subspaces of the direct product of \(N\) copies of a discrete probability space \(\Omega_0\), factored with respect to the group of permutation of indices, are defined by means of arbitrary linear constraints on occupancies. The direct sum of such quotient products over \(N\in \{1,2,\dots\}\) is considered.
Chebotarev, A. M., Maslov, V. P.
openaire   +2 more sources

Nonlinear Evolution Equations—Continuous and Discrete

SIAM Review, 1977
An important recent advance in nonlinear wave motion has been the discovery of a method of solution to a class of nonlinear evolution equations. The technique relies on a relation between the evolution equation, and an associated linear eigenvalue (scattering) problem. The initial value solution is found by the method of inverse scattering.
openaire   +1 more source