KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 3

Continuous dependence of solutions to double dispersive equation with dissipative term

Mesude Elif UYSAL
Şevket GÜR
Sayfa
692–698
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

It is established that the solution depends continuously on the dispersive and dissipative coefficients.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:This work is focused on the properties of solutions to the initial-boundary value problem of the double dispersive-dissipative equation.
📊
Temel Bulgular & Veri:This work is focused on the properties of solutions to the initial-boundary value problem of the double dispersive-dissipative equation.
💡
Sonuç & Katkı:It is established that the solution depends continuously on the dispersive and dissipative coefficients.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:structural stability · double dispersive equations · continuous dependence

Abstract

This work is focused on the properties of solutions to the initial-boundary value problem of the double dispersive-dissipative equation. It is established that the solution depends continuously on the dispersive and dissipative coefficients.

🔖

Bu Makaleye Atıf Yap

UYSAL, M. E., GÜR, Ş. (2022). Continuous dependence of solutions to double dispersive equation with dissipative term. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 3, 692–698. https://ajindex.com/articles/529472

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (15)

  1. K.A. Ames and B. Straughan, Non-Standard and improperly posed problems, Mathematics in Science and Engineering Series, Academic Press, New York, 194, 1997
  2. N. Bellomo and L. Preziosi, Modelling mathematical methods and scientific computation, CRC, Boca Raton, 1995
  3. G. Chen, Y. Wang and S. Wang, Initial boundary value problem of the generalized cubic double dispersion equation, J. Math. Anal. Appl. 299 (2), 563-577, 2004
  4. A.O. Çelebi, Ş. Gür and V.K. Kalantarov, Structural stability and decay estimate for marine riser equations, Math. Comput. Model. 54 (11-12), 3182-3188, 2011
  5. A.O. Çelebi and V.K. Kalantarov, Decay of solutions and structural stability for the coupled Kuramoto-Sivashinsky-Ginzburg-Landau equations, Appl. Anal. 94 (11), 2342- 2354, 2015
  6. H.F. Di and Y.D. Shang, Global existence and asymptotic behavior of solutions for the double dispersive-dissipative wave equation with nonlinear damping and source terms, Bound. Value Probl. 2015, Article No: 29, 2015
  7. H.F. Di and Y.D. Shang, Cauchy Problem for a higher order generalized Boussinesqtype equation with hydrodynamical damped term, Appl. Anal. 95 (3), 690-714, 2016
  8. H.F. Di and Y.D. Shang, Blow-Up Phenomena for a class of Generalized Double Dispersive Equations, Acta Math. Acad. Sci. 39 (2), 567-579, 2019
  9. V.V. Gursky and A.M. Samsonov, Symmetries and exact solutions to a nonlinear doubly dispersive equation with dissipation, Conference: Day on Diffraction 2001, Proceedings, International Seminar, 2001
  10. Ş. Gür and I. Güleç, Continuous dependence of solutions to fourth-order nonlinear wave equation, Hacet. J. Math Stat. 45, 367-371, 2016
  11. Ş. Gür and M.E. Uysal, Continuous dependence of solutions to strongly damped nonlinear Klein-Gordon Equation, Turkish J. Math. 42, 904-910, 2018
  12. C. Lin and L.E. Payne, Continuous dependence on the Soret coefficient for double diffusive convection in Darcy flow, J. Math. Anal. Appl. 342, 311-325, 2008
  13. L.E. Payne and B. Straughan, Convergence and continuous Dependence for the Brinkman-Forchheimer equations, Stud. Appl. Math. 102, 419-439, 1999
  14. A.M. Samsonov, Nonlinear Strain Waves in Elastic Waveguides, in: Jeffrey A., Engelbrecht J. (eds) Nonlinear Waves in Solids. CISM Courses and Lectures (International Centre for Mechanical Sciences), 341, Springer, Vienna, 1994
  15. A.M. Samsonov and E.V. Sokurinskaya, Energy Exchange Between Nonlinear Waves in Elastic Waveguides and External Media, Nonlinear Wa