Propagation of Mild Singularities in Higher Dimensional Thermoelasticity
نویسندگان
چکیده
منابع مشابه
Propagation of Singularities in One-dimensional Thermoelasticity Propagation of Singularities in One-dimensional Thermoelasticity
The propagation of singularities for the system of homogeneous thermoelasticity in one space dimension is studied. Linear and a class of semilinear Cauchy problems are considered.
متن کاملFormation of singularities in one-dimensional thermoelasticity with second sound
We investigate the formation of singularities in thermoelasticity with second sound. Transforming into Euler coordinates and combining ideas from Sideris [14], used for compressible fluids, and Tarabek [15], used for small data large time existence in second sound models, we are able to show that there are in general no global smooth solutions for large initial data. In contrast to the situatio...
متن کاملNaked Singularities in Higher Dimensional Gravitational Collapse
Spherically symmetric inhomogeneous dust collapse has been studied in higher dimensional spacetime and the factors responsible for the appearance of a naked singularity are analyzed in the region close to the centre for the marginally bound case. It is clearly demonstrated that in the former case naked singularities do not appear in the space-time having more than five dimension, which appears ...
متن کاملOn naked singularities in higher dimensional Vaidya space - times
We investigate the end state of gravitational collapse of null fluid in higher dimensional space-times. Both naked singularities and black holes are shown to be developing as final outcome of the collapse. The naked singularity spectrum in collapsing Vaidya region (4D) gets covered with increase in dimensions and hence higher dimensions favor black hole in comparison to naked singularity. The C...
متن کاملNaked Singularities in Higher Dimensional Inhomogeneous Dust Collapse
We investigate the occurrence and nature of a naked singularity in the gravitational collapse of an inhomogeneous dust cloud described by a non self-similar higher dimensional Tolman spacetime. The necessary condition for the formation of a naked singularity or a black hole is obtained. The naked singularities are found to be gravitationally strong in the sense of Tipler and provide another exa...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1999
ISSN: 0022-247X
DOI: 10.1006/jmaa.1999.6594