Hosseinkhan, Alireza; Showalter, Ralph E. Semilinear degenerate Biot-Signorini system. (English) Zbl 1528.35121 SIAM J. Math. Anal. 55, No. 5, 5643-5665 (2023). MSC: 35Q35 35Q74 35M87 74F10 74B20 74L10 76M30 76S05 35A01 35B65 35Q86 35Q92 PDFBibTeX XMLCite \textit{A. Hosseinkhan} and \textit{R. E. Showalter}, SIAM J. Math. Anal. 55, No. 5, 5643--5665 (2023; Zbl 1528.35121) Full Text: DOI
Barré, Mathieu; Grandmont, Céline; Moireau, Philippe Analysis of a linearized poromechanics model for incompressible and nearly incompressible materials. (English) Zbl 1517.35097 Evol. Equ. Control Theory 12, No. 3, 846-906 (2023). MSC: 35G46 35A15 47D06 74F10 PDFBibTeX XMLCite \textit{M. Barré} et al., Evol. Equ. Control Theory 12, No. 3, 846--906 (2023; Zbl 1517.35097) Full Text: DOI
van Duijn, C. J.; Mikelić, Andro Mathematical theory of nonlinear single-phase poroelasticity. (English) Zbl 1524.74126 J. Nonlinear Sci. 33, No. 3, Paper No. 44, 41 p. (2023). MSC: 74F10 35Q74 PDFBibTeX XMLCite \textit{C. J. van Duijn} and \textit{A. Mikelić}, J. Nonlinear Sci. 33, No. 3, Paper No. 44, 41 p. (2023; Zbl 1524.74126) Full Text: DOI
Bociu, Lorena; Strikwerda, Sarah Poro-visco-elasticity in biomechanics: optimal control. (English) Zbl 1500.76114 Español, Malena I. (ed.) et al., Research in mathematics of materials science. Cham: Springer. Assoc. Women Math. Ser. 31, 103-132 (2022). MSC: 76Z05 76D55 74S05 74F10 35Q35 92C10 93C20 PDFBibTeX XMLCite \textit{L. Bociu} and \textit{S. Strikwerda}, Assoc. Women Math. Ser. 31, 103--132 (2022; Zbl 1500.76114) Full Text: DOI
Bociu, Lorena; Muha, Boris; Webster, Justin T. Weak solutions in nonlinear poroelasticity with incompressible constituents. (English) Zbl 1504.35576 Nonlinear Anal., Real World Appl. 67, Article ID 103563, 22 p. (2022). MSC: 35Q92 35Q74 35Q35 92C35 76S05 76Z05 74F10 74L15 74B20 35D30 35D35 35K59 35A01 35A02 PDFBibTeX XMLCite \textit{L. Bociu} et al., Nonlinear Anal., Real World Appl. 67, Article ID 103563, 22 p. (2022; Zbl 1504.35576) Full Text: DOI arXiv
Bociu, Lorena; Strikwerda, Sarah Optimal control in poroelasticity. (English) Zbl 1506.35157 Appl. Anal. 101, No. 5, 1774-1796 (2022). MSC: 35Q35 35Q92 35Q74 76S05 76Z05 74F10 74L15 92C10 49J20 35A01 35A02 PDFBibTeX XMLCite \textit{L. Bociu} and \textit{S. Strikwerda}, Appl. Anal. 101, No. 5, 1774--1796 (2022; Zbl 1506.35157) Full Text: DOI
Bociu, Lorena; Canic, Sunčica; Muha, Boris; Webster, Justin T. Multilayered poroelasticity interacting with Stokes flow. (English) Zbl 1477.74028 SIAM J. Math. Anal. 53, No. 6, 6243-6279 (2021). MSC: 74F10 76S05 76D07 35Q74 35Q35 PDFBibTeX XMLCite \textit{L. Bociu} et al., SIAM J. Math. Anal. 53, No. 6, 6243--6279 (2021; Zbl 1477.74028) Full Text: DOI arXiv
Bociu, Lorena; Webster, Justin T. Nonlinear quasi-static poroelasticity. (English) Zbl 1468.74017 J. Differ. Equations 296, 242-278 (2021). MSC: 74F10 74H20 74H25 35Q74 76S05 PDFBibTeX XMLCite \textit{L. Bociu} and \textit{J. T. Webster}, J. Differ. Equations 296, 242--278 (2021; Zbl 1468.74017) Full Text: DOI arXiv
Botti, Michele; Di Pietro, Daniele A.; Le Maître, Olivier; Sochala, Pierre Numerical approximation of poroelasticity with random coefficients using polynomial chaos and hybrid high-order methods. (English) Zbl 1442.74063 Comput. Methods Appl. Mech. Eng. 361, Article ID 112736, 25 p. (2020). MSC: 74F10 74S25 74S60 PDFBibTeX XMLCite \textit{M. Botti} et al., Comput. Methods Appl. Mech. Eng. 361, Article ID 112736, 25 p. (2020; Zbl 1442.74063) Full Text: DOI arXiv
Banks, H. Thomas; Bekele-Maxwell, Kidist; Bociu, Lorena; Noorman, Marcella; Guidoboni, Giovanna Local sensitivity via the complex-step derivative approximation for 1D poro-elastic and poro-visco-elastic models. (English) Zbl 1437.49038 Math. Control Relat. Fields 9, No. 4, 623-642 (2019). MSC: 49K40 49Q12 74B20 35Q92 46N60 62P10 76S05 PDFBibTeX XMLCite \textit{H. T. Banks} et al., Math. Control Relat. Fields 9, No. 4, 623--642 (2019; Zbl 1437.49038) Full Text: DOI
Verri, Maurizio; Guidoboni, Giovanna; Bociu, Lorena; Sacco, Riccardo The role of structural viscoelasticity in deformable porous media with incompressible constituents: applications in biomechanics. (English) Zbl 1406.92040 Math. Biosci. Eng. 15, No. 4, 933-959 (2018). MSC: 92C10 35Q92 74D99 76S05 PDFBibTeX XMLCite \textit{M. Verri} et al., Math. Biosci. Eng. 15, No. 4, 933--959 (2018; Zbl 1406.92040) Full Text: DOI arXiv
Banks, H. T.; Bekele-Maxwell, K.; Bociu, L.; Noorman, M.; Guidoboni, G. Sensitivity analysis in poro-elastic and poro-visco-elastic models with respect to boundary data. (English) Zbl 1372.49029 Q. Appl. Math. 75, No. 4, 697-735 (2017). MSC: 49K40 49Q12 74B20 35Q92 46N60 62P10 PDFBibTeX XMLCite \textit{H. T. Banks} et al., Q. Appl. Math. 75, No. 4, 697--735 (2017; Zbl 1372.49029) Full Text: DOI Link
Bociu, Lorena; Guidoboni, Giovanna; Sacco, Riccardo; Webster, Justin T. Analysis of nonlinear poro-elastic and poro-visco-elastic models. (English) Zbl 1361.35139 Arch. Ration. Mech. Anal. 222, No. 3, 1445-1519 (2016). Reviewer: S. C. Rajvanshi (Chandigarh) MSC: 35Q35 76A10 76S05 76M10 PDFBibTeX XMLCite \textit{L. Bociu} et al., Arch. Ration. Mech. Anal. 222, No. 3, 1445--1519 (2016; Zbl 1361.35139) Full Text: DOI Link
Augustin, Matthias On the role of poroelasticity for modeling of stress fields in geothermal reservoirs. (English) Zbl 1254.35221 GEM. Int. J. Geomath. 3, No. 1, 67-93 (2012). MSC: 35Q86 35D30 74F10 86A04 PDFBibTeX XMLCite \textit{M. Augustin}, GEM. Int. J. Geomath. 3, No. 1, 67--93 (2012; Zbl 1254.35221) Full Text: DOI
Chełmiński, Krzysztof; Neff, Patrizio; Owczarek, Sebastian Poroplasticity with Cosserat effects. (English) Zbl 1328.74034 ZAMM, Z. Angew. Math. Mech. 92, No. 6, 462-478 (2012). MSC: 74F10 74H20 35Q74 PDFBibTeX XMLCite \textit{K. Chełmiński} et al., ZAMM, Z. Angew. Math. Mech. 92, No. 6, 462--478 (2012; Zbl 1328.74034) Full Text: DOI
Bartczak, Leszek Mathematical analysis of a thermo-visco-plastic model with Bodner-Partom constitutive equations. (English) Zbl 1238.74010 J. Math. Anal. Appl. 385, No. 2, 961-974 (2012). Reviewer: K. N. Shukla (Gurgaon) MSC: 74F05 74C10 80A20 35Q74 PDFBibTeX XMLCite \textit{L. Bartczak}, J. Math. Anal. Appl. 385, No. 2, 961--974 (2012; Zbl 1238.74010) Full Text: DOI
Owczarek, Sebastian Convergence of coercive approximations for a model of gradient type in poroplasticity. (English) Zbl 1172.35076 Math. Methods Appl. Sci. 32, No. 12, 1541-1563 (2009). Reviewer: M. Marin (Brasov) MSC: 35Q72 74F10 74D10 PDFBibTeX XMLCite \textit{S. Owczarek}, Math. Methods Appl. Sci. 32, No. 12, 1541--1563 (2009; Zbl 1172.35076) Full Text: DOI