Contributions to the existence, uniqueness, and contraction of the solutions to some evolutionary partial differential equations / Contributions à l'existence, l'unicité, et la contraction des solutions de certaines équations aux dérivées partielles évolutives
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Tác giả chưa xác định. Contributions to the existence, uniqueness, and contraction of the solutions to some evolutionary partial differential equations / Contributions à l'existence, l'unicité, et la contraction des solutions de certaines équations aux dérivées partielles évolutives. Thesis, HAL - Pháp.
Việt Nam (chuẩn TCVN 5453:1991):
. Contributions to the existence, uniqueness, and contraction of the solutions to some evolutionary partial differential equations / Contributions à l'existence, l'unicité, et la contraction des solutions de certaines équations aux dérivées partielles évolutives. Thesis. HAL - Pháp. Truy cập từ .
Tóm tắt
In this thesis, we are mainly interested in the theoretical and numerical study of certain equations that describe the dynamics of dislocation densities. Dislocations are microscopic defects in materials, which move under the effect of an external stress. As a first work, we prove a global in time existence result of a discontinuous solution to a diagonal hyperbolic system, which is not necessarily strictly hyperbolic, in one space dimension. Then in another work, we broaden our scope by proving...