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dissipative equations
Finite dimension of global attractors for dissipative equations governing modulated wave
      
This allows us to construct new solutions for a chosen class of dissipative equations.
      
The proofs of our results combine strong a priori estimates which depend very little on the non-linearities with an application of Schauder's fixed point theorem to some related dissipative equations.
      
The soft computing simulation design methodology of intelligent control system for mobile micro-nano-robots based on modeling of non-linear dissipative equations of robots motion with a minimum entropy production is described.
      
We study the Cauchy problem for the nonlinear dissipative equations (0.1) uo?u-αδu + Β|u|2/nu = 0,x ? Rn,t } 0,u(0,x) = u0(x),x ? Rn, where α,Β ? C, ?α 0.
      
This kind of method was originally developed to prove exponential mixing for strongly dissipative equations such as the Navier-Stokes equations.
      
Fourier Parameterization of Attractors for Dissipative Equations in One Space Dimension
      
For dissipative equations of the formwe show that the global attractor is a Lipschitz graph over a finite dimensional Fourier eigenspace.
      
Sharp Estimates of Bounded Solutions to Some Second-order Forced Dissipative Equations
      
On stability theory for solutions of semilinear dissipative equations of the Sobolev type
      
For abstract semilinear dissipative equations of the Sobolev type (1)-(8) the principle of linearized stability in the theory of exponential stability in the "strong" norm is investigated.
      
 

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