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Showing 1 to 8 of 8 (0.072 seconds)Spelling suggestions: "subject:"MSC 35515"" "subject:"MSC 355.15""
| 1 |
Mixed Interface Problems of Thermoelastic Pseudo-OscillationsJentsch, L., Natroshvili, D., Sigua, I. 30 October 1998 (has links) (PDF)
Three-dimensional basic and mixed interface problems of the mathematical
theory of thermoelastic pseudo-oscillations are considered for piecewise homogeneous
anisotropic bodies. Applying the method of boundary potentials and the theory of
pseudodifferential equations existence and uniqueness theorems of solutions are proved
in the space of regular functions C^(k+ alpha) and in the Bessel-potential (H^(s)_(p))
and Besov (B^(s)_(p,q)) spaces. In addition to the classical regularity results
for solutions to the basic interface problems, it is shown that in the mixed interface
problems the displacement vector and the temperature are Hölder continuous with
exponent 0<alpha<1/2.
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| 2 |
Interaction between Thermoelastic and Scalar Oscillation Fields (general anisotropic case)Jentsch, L., Natroshvili, D 30 October 1998 (has links) (PDF)
Three-dimensional mathematical problems of the interaction between thermoelastic
and scalar oscillation fields are considered in a general anisotropic case. An elastic
structure is assumed to be a bounded homogeneous anisortopic body occupying domain
$\Omega^+\sub\R^3$ , where the thermoelastic field is defined, while in the
physically anisotropic unbounded exterior domain $\Omega^-=\R^3\\ \overline{\Omega^+}$
there is defined the scalar field. These two fields
satisfy the differential equations of steady state oscillations in the corresponding
domains along with the transmission conditions of special type on the interface
$\delta\Omega^{+-}$. Uniqueness and existence theorems, for the non-resonance case, are proved
by the reduction of the original interface problems to equivalent systems of boundary
pseudodifferential equations ($\Psi DEs$) . The invertibility of the corresponding
matrix pseudodifferential operators ($\Psi DO$) in appropriate functional spaces is
shown on the basis of generalized Sommerfeld-Kupradze type thermoradiation conditions
for anisotropic bodies. In the resonance case, the co-kernels of the $\Psi DOs$ are
analysed and the efficent conditions of solvability of the transmission problems
are established.
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| 3 |
Thermoelastic Oscillations of Anisotropic BodiesJentsch, L., Natroshvili, D. 30 October 1998 (has links) (PDF)
The generalized radiation conditions at infinity of Sommerfeld-Kupradze type are established in the theory of thermoelasticity of anisotropic bodies. Applying the potential method and the theory of pseudodifferential equations on manifolds the uniqueness and existence theorems of solutions to the basic three-dimensional exterior boundary value problems are proved and representation formulas of solutions by potential type integrals are obtained.
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| 4 |
Three-dimensional mathematical Problems of thermoelasticity of anisotropic BodiesJentsch, Lothar, Natroshvili, David 30 October 1998 (has links) (PDF)
CHAPTER I. Basic Equations. Fundamental Matrices. Thermo-Radiation Conditions
1. Basic differential equations of thermoelasticity theory
2. Fundamental matrices
3. Thermo-radiating conditions. Somigliana type integral representations
CHAPTER II. Formulation of Boundary Value and Interface Problems
4. Functional spaces
5. Formulation of basic and mixed BVPs
6. Formulation of crack type problems
7. Formulation of basic and mixed interface problems
CHAPTER III. Uniqueness Theorems
8. Uniqueness theorems in pseudo-oscillation problems
9. Uniqueness theorems in steady state oscillation problems
CHAPTER IV. Potentials and Boundary Integral Operators
10. Thermoelastic steady state oscillation potentials
11. Pseudo-oscillation potentials
CHAPTER V. Regular Boundary Value and Interface Problems
12. Basic BVPs of pseudo-oscillations
13. Basic exterior BVPs of steady state oscillations
14. Basic interface problems of pseudo-oscillations
15. Basic interface problems of steady state oscillations
CHAPTER VI. Mixed and Crack Type Problems
16. Basic mixed BVPs
17. Crack type problems
18. Mixed interface problems of steady state oscillations
19. Mixed interface problems of pseudo-oscillations
|
| 5 |
Thermoelastic Oscillations of Anisotropic BodiesJentsch, L., Natroshvili, D. 30 October 1998 (has links)
The generalized radiation conditions at infinity of Sommerfeld-Kupradze type are established in the theory of thermoelasticity of anisotropic bodies. Applying the potential method and the theory of pseudodifferential equations on manifolds the uniqueness and existence theorems of solutions to the basic three-dimensional exterior boundary value problems are proved and representation formulas of solutions by potential type integrals are obtained.
|
| 6 |
Mixed Interface Problems of Thermoelastic Pseudo-OscillationsJentsch, L., Natroshvili, D., Sigua, I. 30 October 1998 (has links)
Three-dimensional basic and mixed interface problems of the mathematical
theory of thermoelastic pseudo-oscillations are considered for piecewise homogeneous
anisotropic bodies. Applying the method of boundary potentials and the theory of
pseudodifferential equations existence and uniqueness theorems of solutions are proved
in the space of regular functions C^(k+ alpha) and in the Bessel-potential (H^(s)_(p))
and Besov (B^(s)_(p,q)) spaces. In addition to the classical regularity results
for solutions to the basic interface problems, it is shown that in the mixed interface
problems the displacement vector and the temperature are Hölder continuous with
exponent 0<alpha<1/2.
|
| 7 |
Interaction between Thermoelastic and Scalar Oscillation Fields (general anisotropic case)Jentsch, L., Natroshvili, D 30 October 1998 (has links)
Three-dimensional mathematical problems of the interaction between thermoelastic
and scalar oscillation fields are considered in a general anisotropic case. An elastic
structure is assumed to be a bounded homogeneous anisortopic body occupying domain
$\Omega^+\sub\R^3$ , where the thermoelastic field is defined, while in the
physically anisotropic unbounded exterior domain $\Omega^-=\R^3\\ \overline{\Omega^+}$
there is defined the scalar field. These two fields
satisfy the differential equations of steady state oscillations in the corresponding
domains along with the transmission conditions of special type on the interface
$\delta\Omega^{+-}$. Uniqueness and existence theorems, for the non-resonance case, are proved
by the reduction of the original interface problems to equivalent systems of boundary
pseudodifferential equations ($\Psi DEs$) . The invertibility of the corresponding
matrix pseudodifferential operators ($\Psi DO$) in appropriate functional spaces is
shown on the basis of generalized Sommerfeld-Kupradze type thermoradiation conditions
for anisotropic bodies. In the resonance case, the co-kernels of the $\Psi DOs$ are
analysed and the efficent conditions of solvability of the transmission problems
are established.
|
| 8 |
Three-dimensional mathematical Problems of thermoelasticity of anisotropic BodiesJentsch, Lothar, Natroshvili, David 30 October 1998 (has links)
CHAPTER I. Basic Equations. Fundamental Matrices. Thermo-Radiation Conditions
1. Basic differential equations of thermoelasticity theory
2. Fundamental matrices
3. Thermo-radiating conditions. Somigliana type integral representations
CHAPTER II. Formulation of Boundary Value and Interface Problems
4. Functional spaces
5. Formulation of basic and mixed BVPs
6. Formulation of crack type problems
7. Formulation of basic and mixed interface problems
CHAPTER III. Uniqueness Theorems
8. Uniqueness theorems in pseudo-oscillation problems
9. Uniqueness theorems in steady state oscillation problems
CHAPTER IV. Potentials and Boundary Integral Operators
10. Thermoelastic steady state oscillation potentials
11. Pseudo-oscillation potentials
CHAPTER V. Regular Boundary Value and Interface Problems
12. Basic BVPs of pseudo-oscillations
13. Basic exterior BVPs of steady state oscillations
14. Basic interface problems of pseudo-oscillations
15. Basic interface problems of steady state oscillations
CHAPTER VI. Mixed and Crack Type Problems
16. Basic mixed BVPs
17. Crack type problems
18. Mixed interface problems of steady state oscillations
19. Mixed interface problems of pseudo-oscillations
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