The Fourth Main Boundary Value Problem of Dynamics of Thermo-resiliency’s Momentum Theory
In the paper is presented the fourth main boundary value problem of Dynamics of Thermo-resiliency’s Momentum theory. The problem states to find in the cylinder D_l the regular solution of the system: M(∂_x )U-νχθ-χ^0 (∂^2 U)/(∂t^2 )=H, ∆θ-1/ϑ ∂θ/∂t-η ∂/∂t div u=H_7, which satisfies the initia...
| Main Authors: | , |
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| Format: | Article |
| Language: | Russian |
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Academic Publishing House Researcher
2014-08-01
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| Series: | Evropejskij Issledovatelʹ |
| Subjects: | |
| Online Access: | http://www.erjournal.ru/journals_n/1409224318.pdf |
| Summary: | In the paper is presented the fourth main boundary value problem of Dynamics of Thermo-resiliency’s Momentum theory. The problem states to find in the cylinder D_l the regular solution of the system:
M(∂_x )U-νχθ-χ^0 (∂^2 U)/(∂t^2 )=H, ∆θ-1/ϑ ∂θ/∂t-η ∂/∂t div u=H_7,
which satisfies the initial conditions:
〖∀x∈D: lim〗┬(t→0)〖U(x,t)=φ^((0) ) (x),〗 lim┬(t→0)〖θ(x,t)=φ_7^((0) ) (x), lim┬(t→0) ∂U(x,t)/∂t=φ^((1) ) 〗 (x)
and the boundary conditions:
〖∀(x,t)∈S_l:lim┬(D∋x→y∈S)〗〖PU=f, 〗 lim┬(D∋x→y∈S) {θ}_S^±=f_7.
The uniqueness theorem of the solution is proved for this problem.
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| ISSN: | 2219-8229 2224-0136 |