Geodesic
Global solvability of the regularized problem of the volumetric growth of hyperelastic materials
Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 3, pp. 11-23

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We present a model of volumetric growth of biological materials in the framework of finite elasticity. Surface effects on the boundary with the environment are taken into account. New mathematical results are obtained for the model, the main of which is a complete proof of global existence of a solution. The results can be used in further scientific developments at the juncture of biology and mechanics.
Keywords: volumetric growth
Mots-clés : existence of global solutions. 
@article{SJIM_2017_20_3_a1,
     author = {A. V. Beskrovnykh},
     title = {Global solvability of the regularized problem of the volumetric growth of hyperelastic materials},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {11--23},
     publisher = {mathdoc},
     volume = {20},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2017_20_3_a1/}
}
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A. V. Beskrovnykh. Global solvability of the regularized problem of the volumetric growth of hyperelastic materials. Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 3, pp. 11-23. http://geodesic.mathdoc.fr/item/SJIM_2017_20_3_a1/