On a problem of shallow water type.
El Alaoui Talibi, Mohamed, Tber, Moulay Hicham (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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El Alaoui Talibi, Mohamed, Tber, Moulay Hicham (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Marco Picasso, Jacques Rappaz, Adrian Reist (2008)
Annales mathématiques Blaise Pascal
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The motion of a three-dimensional glacier is considered. Ice is modeled as an incompressible non-Newtonian fluid. At each time step, given the shape of the glacier, a nonlinear elliptic system has to be solved in order to obtain the two components of the horizontal velocity field. Then, the shape of the glacier is updated by solving a transport equation. Finite element techniques are used to compute the velocity field and to solve the transport equation. Numerical results are compared...
Torres, Germán, Turner, Cristina (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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De Araujo, Geraldo M., De Menezes, Silvano B., Marinho, Alexandro O. (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Aulisa, Eugenio, Manservisi, Sandro, Seshaiyer, Padmanabhan (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Xie, Xuming (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Guessous, Najib, Hadfat, Fouzia (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Boldrini, José Luiz, Dias Vaz, Cristina Lúcia (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Choquet, Catherine (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Mcgee, Shelly, Seshaiyer, Padmanabhan (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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David Hoff (2001)
Journées équations aux dérivées partielles
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We prove the global existence of solutions of the Navier-Stokes equations of compressible, barotropic flow in two space dimensions with piecewise smooth initial data. These solutions remain piecewise smooth for all time, retaining simple jump discontinuities in the density and in the divergence of the velocity across a smooth curve, which is convected with the flow. The strengths of these discontinuities are shown to decay exponentially in time, more rapidly for larger acoustic speeds...