A free boundary problem arising from sorption of solvents in glassy polymers
Authors:
Daniele Andreucci and Riccardo Ricci
Journal:
Quart. Appl. Math. 44 (1987), 649-657
MSC:
Primary 35R35
DOI:
https://doi.org/10.1090/qam/872817
MathSciNet review:
872817
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Additional Information
G. Astarita and G. C. Sarti, A class of mathematical models for sorption of swelling solvents into glassy polymers, Polymer Eng. Sci. 18, 388–395 (1978)
- E. Comparini and R. Ricci, On the swelling of a glassy polymer in contact with a well-stirred solvent, Math. Methods Appl. Sci. 7 (1985), no. 2, 238–250. MR 797335, DOI https://doi.org/10.1002/mma.1670070115
A. Fasano, G. H. Mayer, and M. Primicerio, On a problem in polymer industry: Theoretical and numerical investigation, SIAM J. Math. Anal. 17, 945–960 (1986)
- Antonio Fasano and Mario Primicerio, Free boundary problems for nonlinear parabolic equations with nonlinear free boundary conditions, J. Math. Anal. Appl. 72 (1979), no. 1, 247–273. MR 552335, DOI https://doi.org/10.1016/0022-247X%2879%2990287-7
G. C. Sarti, Solvent osmotic stresses and the prediction of case II transport kinetics, Polymer 20, 825–832 (1979)
- David G. Schaeffer, A new proof of the infinite differentiability of the free boundary in the Stefan problem, J. Differential Equations 20 (1976), no. 1, 266–269. MR 390499, DOI https://doi.org/10.1016/0022-0396%2876%2990106-6
- Avner Friedman and Robert Jensen, Convexity of the free boundary in the Stefan problem and in the dam problem, Arch. Rational Mech. Anal. 67 (1978), no. 1, 1–24. MR 473315, DOI https://doi.org/10.1007/BF00280824
G. Astarita and G. C. Sarti, A class of mathematical models for sorption of swelling solvents into glassy polymers, Polymer Eng. Sci. 18, 388–395 (1978)
E. Comparini and R. Ricci, On the swelling of a glassy polymer in contact with a well-stirred solvent, Math. Methods Appl. Sci. 7, 238–250 (1985)
A. Fasano, G. H. Mayer, and M. Primicerio, On a problem in polymer industry: Theoretical and numerical investigation, SIAM J. Math. Anal. 17, 945–960 (1986)
A. Fasano and M. Primicerio, Free boundary problems for nonlinear parabolic equations with nonlinear free boundary conditions, J. Math. Anal. Appl. 72, 247–273 (1979)
G. C. Sarti, Solvent osmotic stresses and the prediction of case II transport kinetics, Polymer 20, 825–832 (1979)
D. G. Schaeffer, A new proof of the infinite differentiability of the free boundary in the Stefan problem. J. Differential Equations 20, 266–269 (1976)
A. Friedman and R. Jensen, Convexity of the free boundary in the Stefan problem and in the dam problem, Arch. Rat. Mech. Anal. 67, 1–24 (1977)
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Article copyright:
© Copyright 1987
American Mathematical Society