Ya-dong Shang

Publications (2)0.58 Total impact

• Article: Finite Dimensional Behavior for Forced Nonlinear Sobolev-Galpern Equations

  Ya-dong Shang, Bo-ling Guo
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  ABSTRACT: This paper deals with the asymptotic behavior of solutions for the nonlinear Sobolev-Galpern equations. We first show the existence of the global weak attractor in $ H^{2} {\left( \Omega \right)} \cap H^{1}_{0} {\left( \Omega \right)} $ H^{2} {\left( \Omega \right)} \cap H^{1}_{0} {\left( \Omega \right)} for the equations. And then by an energy equation we prove that the global weak attractor is actually the global strong attractor. The finite-dimensionality of the global attractor is also established.
  Acta Mathematicae Applicatae Sinica 05/2012; 20(2):247-256. · 0.29 Impact Factor
• Article: Approximate Inertial Manifolds to the Generalized Symmetric Regularized Long Wave Equations with Damping Term

  Bo-ling Guo, Ya-dong Shang
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  ABSTRACT: In the present paper, we construct two approximate inertial manifolds for the generalized symmetric regularized long wave equations with damping term. The orders of approximations of these manifolds to the global attractor are derived.
  Acta Mathematicae Applicatae Sinica 05/2003; 19(2):191-204. · 0.29 Impact Factor