Some remarks on global solutions to nonlinear dissipative mildly degenerate Kirchhoff strings
Marina Ghisi (2001)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Global existence and decay of solutions of a coupled system of BBM-Burgers equations.”
Some remarks on global solutions to nonlinear dissipative mildly degenerate Kirchhoff strings
Breakdown in finite time of solutions to a one-dimensional wave equation.
Mokhtar Kirane, Salim A. Messaoudi (2000)
Revista Matemática Complutense
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We consider a special type of a one-dimensional quasilinear wave equation w - phi (w / w) w = 0 in a bounded domain with Dirichlet boundary conditions and show that classical solutions blow up in finite time even for small initial data in some norm.
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Grégoire Allaire (2003)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Global existence of solutions of the equations of one-dimensional thermoviscoelasticity with initial data in and
Jong Uhn Kim (1983)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Global existence and blow-up for a shallow water equation
Adrian Constantin, Joachim Escher (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Remarks on the equatorial shallow water system
Chloé Mullaert (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
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This article recalls the results given by A. Dutrifoy, A. Majda and S. Schochet in [1] in which they prove an uniform estimate of the system as well as the convergence to a global solution of the long wave equations as the Froud number tends to zero. Then, we will prove the convergence with weaker hypothesis and show that the life span of the solutions tends to infinity as the Froud number tends to zero.
Asymptotic behavior of global solutions to the Navier-Stokes equations in R.
Fabrice Planchon (1998)
Revista Matemática Iberoamericana
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We construct global solutions to the Navier-Stokes equations with initial data small in a Besov space. Under additional assumptions, we show that they behave asymptotically like self-similar solutions.