Existence and uniqueness for wave propagation in inhomogeneous elastic solids
Giacomo Caviglia, Angelo Morro (2002)
Rendiconti del Seminario Matematico della Università di Padova
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Giacomo Caviglia, Angelo Morro (2002)
Rendiconti del Seminario Matematico della Università di Padova
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L. Hsiao, P. Marcati (1988)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Grégoire Allaire (2003)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Adrian Constantin, Joachim Escher (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Lorenza Diomeda, Benedetta Lisena (1987)
Rendiconti del Seminario Matematico della Università di Padova
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Conway, Edward Daire, Rosencrans, Steven I. (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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C. J. Van Duijn, A. Straathof (1994)
Revista Matemática de la Universidad Complutense de Madrid
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Bounded traveling waves, arising in combustion model for gas-solid reactions in a porous medium, are studied. We consider the existence, uniqueness and several qualitative properties. In particular we investigate waves with finiteness and derive estimates in the limit of vanishing diffusion.
Harold Exton (1995)
Collectanea Mathematica
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Explicit solutions are obtained of the linear differential equation of the second order with three regular singularities and one irregular singularity of the first type. The behavior at the point at infinity is discussed. An important special case is an algebraic form of the ellipsoidal wave equation.