Continuous data-dependent results for a general theory of heat conduction in bounded and unbounded domains

Author:
C. E. Beevers

Journal:
Quart. Appl. Math. **35** (1977), 111-119

MSC:
Primary 80.45

DOI:
https://doi.org/10.1090/qam/475337

MathSciNet review:
475337

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References | Similar Articles | Additional Information

**[1]**B. D. Coleman and M. E. Gurtin,*Equipresence and constitutive equations for rigid heat conductors*, Z. Angew. Math. Phys.**18**, 199-207 (1967) MR**0214334****[2]**M. E. Gurtin and A. C. Pipkin,*A general theory of heat conduction with finite thermal wave speeds*, Arch. Rat, Mech. Anal.**31**, 113-126 (1968) MR**1553521****[3]**J. W. Nunziato,*On heat conduction in materials with memory*, Quart. Appl. Math.**29**, 187-204 (1971) MR**0295683****[4]**R. R. Nachlinger and L. T. Wheeler,*Uniqueness theorems for rigid heat conductors with memory*, Quart. Appl. Math.**31**, 267-273 (1973)**[5]**J. M. Finn and L. T. Wheeler,*Wave propagation aspects of the generalized theory of heat conduction*, Z. Angew. Math. Phys.**23**, 927-940 (1972) MR**0334700****[6]**L. T. Wheeler and E. Sternberg,*Some theorems in classical elastodynamics*, Arch. Rat. Mech. Anal.**31**, 51-90 (1968) MR**1553519****[7]**R. P. Hermann and R. R. Nachlinger,*A uniqueness theorem for the general theory of heat conduction with finite wave speeds*, Int. J. Engrg. Sci.**12**, 865-874 (1974) MR**0447807****[8]**R. P. Herrmann and R. R. Nachlinger,*On uniqueness and wave propagation in heat conductors with memory*, J. Math. Anal. Applies.**50**, 530-547 (1975) MR**0375965****[9]**C. E. Beevers,*Uniqueness and stability in linear visco-elasticity*, Z. Angew. Math. Phys.**26**, 177-186 (1975) MR**0366154****[10]**D. Graffi,*Sul teorema di unicitá par la equazioni fluidi*, Ann. Mat. Pura Appl.**50**, 379-387 (1960) MR**0122198****[11]**D. E. Edmunds,*On the uniqueness of viscous flows*, Arch. Rat. Mech. Anal.**14**, 171-176 (1963) MR**0154487****[12]**J. R. Cannon and G. H. Knightly,*Continuous dependence theorems for viscous fluid motions*, SIAM J. Appl. Math.**18**, 627-640 (1970) MR**0269967****[13]**B. Straughan,*Uniqueness and continuous dependence theorems for the conduction-diffusion solution of the Boussinesq equations on an exterior domain*, J. Math. Anal. Applies, (to appear) MR**0431919****[14]**C. E. Beevers,*A simplified two-fluid theory for helium II*, Int. J. Engrg. Sci.**14**, 457-465 (1976) MR**0489283**

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Additional Information

DOI:
https://doi.org/10.1090/qam/475337

Article copyright:
© Copyright 1977
American Mathematical Society