Multiplicity and structures for traveling wave solutions of the Kuramoto-Sivashinsky equation.
Feng, Bao-Feng (2004)
International Journal of Mathematics and Mathematical Sciences
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Feng, Bao-Feng (2004)
International Journal of Mathematics and Mathematical Sciences
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Wiryanto, L.H. (2005)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Pudjaprasetya, S.R., Chendra, H.D. (2009)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Kristóf Kály-Kullai, András Volford, Henrik Farkas (2003)
Banach Center Publications
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Excitation wave propagation in a heterogeneous medium around a circular obstacle is investigated, when the obstacle is located very eccentrically with respect to the interfacial circle separating the slow inner and the fast outer region. Qualitative properties of the permanent wave fronts are described, and the calculated wave forms are presented.
Amin Boumenir (2014)
ESAIM: Control, Optimisation and Calculus of Variations
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We show that we can reconstruct two coefficients of a wave equation by a single boundary measurement of the solution. The identification and reconstruction are based on Krein’s inverse spectral theory for the first coefficient and on the Gelfand−Levitan theory for the second. To do so we use spectral estimation to extract the first spectrum and then interpolation to map the second one. The control of the solution is also studied.
Bhatti, Zahid Rafiq, Durrani, Ijaz-Ur-Rahman (2001)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Feng, Bao-Feng, Kawahara, Takuji, Mitsui, Taketomo, Chan, Youn-Sha (2005)
International Journal of Mathematics and Mathematical Sciences
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Manuel G. Velarde (1993)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Ahmad, F., Khan, A. (2001)
Mathematical Problems in Engineering
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Hussain, Wasiq (2008)
Applied Mathematics E-Notes [electronic only]
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Z. Godziński, L. Stasierski (1972)
Applicationes Mathematicae
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Rémi Tailleux (2002)
Annales mathématiques Blaise Pascal
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Jamel Ben Amara (2011)
Colloquium Mathematicae
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We study a Sturm-Liouville problem containing a spectral parameter in the boundary conditions. We associate to this problem a self-adjoint operator in a Pontryagin space Π₁. Using this operator-theoretic formulation and analytic methods, we study the asymptotic behavior of the eigenvalues under the variation of a large physical parameter in the boundary conditions. The spectral analysis is applied to investigate the well-posedness and stability of the wave equation of a string. ...
Papanicolaou, George (1998)
Documenta Mathematica
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