On the blowing up of solutions to nonlinear wave equations in two space dimensions.
M.A. Rammaha (1988)
Journal für die reine und angewandte Mathematik
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M.A. Rammaha (1988)
Journal für die reine und angewandte Mathematik
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Mitsuhiro Nakao (1991)
Mathematische Zeitschrift
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Robert T. Glassey (1981)
Mathematische Zeitschrift
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Benaissa, Abbes, Messaoudi, Salim A. (2002)
Journal of Applied Mathematics
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Fritz John (1979)
Manuscripta mathematica
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Mitsuhiro Nakao (1986)
Mathematische Zeitschrift
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Hartmut Pecher, Robert Glassey (1982)
Manuscripta mathematica
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Aissa Guesmia (1998)
Annales Polonici Mathematici
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We obtain a precise decay estimate of the energy of the solutions to the initial boundary value problem for the wave equation with nonlinear internal and boundary feedbacks. We show that a judicious choice of the feedbacks leads to fast energy decay.
Wolf von Wahl, Philip Brenner (1981)
Mathematische Zeitschrift
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Hiroyuki Takamura (1994)
Mathematische Zeitschrift
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Zayed, Elsayed M.E., Rahman, Hanan M.Abdel (2010)
Applied Mathematics E-Notes [electronic only]
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H.A. Biagioni (1994)
Monatshefte für Mathematik
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Bogdan Przeradzki, Katarzyna Szymańska-Dębowska (2014)
Banach Center Publications
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The existence of a traveling wave with special properties to modified KdV and BKdV equations is proved. Nonlinear terms in the equations are defined by means of a function f of an unknown u satisfying some conditions.
Khalfallah, Mohammed (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Franco, Sebastião Romero, Farina, Leandro
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A Fourier approximation method is used for modeling and simulation of fully nonlinear steady waves. The set of resulting nonlinear equations are solved by Newton's method. The shoaling of waves is simulated based on comparisons with experimental data. The wave heights and the angles of breaking are analysed until the limit of inadequacy of the numerical method. The results appear quite close to those criteria predicted by the theory of completely nonlinear surface waves and contribute...