Existence of global entropy solutions to a non-strictly hyperbolic system with a source.
Yan, Rei-Fang (2006)
Revista Colombiana de Matemáticas
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Yan, Rei-Fang (2006)
Revista Colombiana de Matemáticas
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Liu, Mingbin, Cheng, Zhixin (2007)
Revista Colombiana de Matemáticas
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Neves, Wladimir, Serre, Denis (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Hoel, Hakon A. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Yan, Jin, Cheng, Zhixin, Tao, Ming (2007)
Revista Colombiana de Matemáticas
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Droniou, Jérôme (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ammar, Kaouther (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Myriam Lecumberry (2005)
Journées Équations aux dérivées partielles
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After a short introduction on micromagnetism, we will focus on a scalar micromagnetic model. The problem, which is hyperbolic, can be viewed as a problem of Hamilton-Jacobi, and, similarly to conservation laws, it admits a kinetic formulation. We will use both points of view, together with tools from geometric measure theory, to prove the rectifiability of the singular set of micromagnetic configurations.
Ammar, Kaouther, Redwane, Hicham (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Creutzig, J., Linde, W. (2001)
Georgian Mathematical Journal
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