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Exact Null Controllability of KdV‐Burgers Equation with Memory Effect Systems

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  • Rajagounder Ravi Kumar
  • Kil To Chong
  • Jong Ho Park

Abstract

This paper is concerned with exact null controllability analysis of nonlinear KdV‐Burgers equation with memory. The proposed approach relies upon regression tool to prove controllability property of linearized KdV‐Burgers equation via Carleman estimates. The control is distributed along with subdomain ω ⊂ Ω and the external control acts on the key role of observability inequality with memory. This description finally showed the exact null controllability guaranteeing the stability.

Suggested Citation

  • Rajagounder Ravi Kumar & Kil To Chong & Jong Ho Park, 2012. "Exact Null Controllability of KdV‐Burgers Equation with Memory Effect Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:531659
    DOI: 10.1155/2012/531659
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    1. J. M. Burgers, 1974. "The Nonlinear Diffusion Equation," Springer Books, Springer, number 978-94-010-1745-9, March.
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