Uniqueness for the harmonic map flow from surface to general targets.
Alexandre Freire (1995)
Commentarii mathematici Helvetici
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Alexandre Freire (1995)
Commentarii mathematici Helvetici
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Jiayu Li (1994)
Mathematische Zeitschrift
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A. Freire (1996)
Commentarii mathematici Helvetici
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Joseph F. Grotowski (1991)
Manuscripta mathematica
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Ghaly, Ahmed Y., Elbarbary, Elsayed M. E. (2002)
Journal of Applied Mathematics
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Ewa Zadrzyńska, Wojciech M. Zajączkowski (2003)
Banach Center Publications
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In the paper the motion of a fixed mass of a viscous compressible heat conducting fluid is considered. Assuming that the initial data are sufficiently close to an equilibrium state and the external force, the heat sources and the heat flow through the boundary vanish, we prove the existence of a global in time solution which is close to the equilibrium state for any moment of time.
Y. Chen, M.-C. Hong, N. Hungerbühler (1994)
Mathematische Zeitschrift
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Leon Karp, Isaac Chavel (1991)
Commentarii mathematici Helvetici
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Leo Sario (1963/64)
Commentarii mathematici Helvetici
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Hsiao, Kai-Long, Chen, Guan-Bang (2007)
Mathematical Problems in Engineering
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Shiu-Yuen Cheng, Peter Li (1981)
Commentarii mathematici Helvetici
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Ewa Zadrzyńska, Wojciech M. Zajączkowski (1996)
Annales Polonici Mathematici
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We derive a global differential inequality for solutions of a free boundary problem for a viscous compressible heat concluding capillary fluid. The inequality is essential in proving the global existence of solutions.