التفاصيل البيبلوغرافية
| العنوان: |
UNIFORM BOUND OF THE HIGHEST-ORDER ENERGY OF THE 2D INCOMPRESSIBLE ELASTODYNAMICS. |
| المؤلفون: |
YUAN CAI1 caiy@fudan.edu.cn |
| المصدر: |
SIAM Journal on Mathematical Analysis. 2023, Vol. 55 Issue 5, p5893-5918. 26p. |
| مصطلحات موضوعية: |
*ELASTODYNAMICS, *EQUILIBRIUM, *MATHEMATICS |
| مستخلص: |
This paper concerns the time growth of the highest-order energy of the systems of incompressible isotropic Hookean elastodynamics in two space dimensions. The global well-posedness of smooth solutions near equilibrium was proved by Lei [Comm. Pure Appl. Math., 69 (2016), pp. 2072-2106] where the highest-order generalized energy may have certain growth in time. We develop novel energy estimate strategies based on the inherent structures and show that the highest-order generalized energy is uniformly bounded for all the time. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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