Academic literature on the topic 'Hele-Shaw problem'
Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles
Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Hele-Shaw problem.'
Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.
You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.
Journal articles on the topic "Hele-Shaw problem":
CROWDY, DARREN G. "Hele-Shaw flows and water waves." Journal of Fluid Mechanics 409 (April 25, 2000): 223–42. http://dx.doi.org/10.1017/s0022112099007685.
Kimura, Masato, Daisuke Tagami, and Shigetoshi Yazaki. "Polygonal Hele–Shaw problem with surface tension." Interfaces and Free Boundaries 15, no. 1 (2013): 77–93. http://dx.doi.org/10.4171/ifb/295.
Vasil’ev †, Alexander. "Robin's Modulus in a Hele-Shaw Problem." Complex Variables, Theory and Application: An International Journal 49, no. 7-9 (June 10, 2004): 663–72. http://dx.doi.org/10.1080/02781070410001732188.
Mellet, Antoine, Benoît Perthame, and Fernando Quirós. "A Hele–Shaw problem for tumor growth." Journal of Functional Analysis 273, no. 10 (November 2017): 3061–93. http://dx.doi.org/10.1016/j.jfa.2017.08.009.
Yadav, Dhananjay. "The effect of pulsating throughflow on the onset of magneto convection in a layer of nanofluid confined within a Hele-Shaw cell." Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering 233, no. 5 (March 13, 2019): 1074–85. http://dx.doi.org/10.1177/0954408919836362.
Saffman, P. G. "Viscous fingering in Hele-Shaw cells." Journal of Fluid Mechanics 173 (December 1986): 73–94. http://dx.doi.org/10.1017/s0022112086001088.
Moog, Mathias, Rainer Keck, and Aivars Zemitis. "SOME NUMERICAL ASPECTS OF THE LEVEL SET METHOD." Mathematical Modelling and Analysis 3, no. 1 (December 15, 1998): 140–51. http://dx.doi.org/10.3846/13926292.1998.9637097.
Rogosin, Sergei, and Tatsyana Vaitekhovich. "Hele-Shaw Model for Melting/Freezing with Two Dendrits." Materials Science Forum 553 (August 2007): 143–51. http://dx.doi.org/10.4028/www.scientific.net/msf.553.143.
Rogosin, S. "Real variable Hele-Shaw problem with kinetic undercooling." Lobachevskii Journal of Mathematics 38, no. 3 (May 2017): 510–19. http://dx.doi.org/10.1134/s1995080217030210.
Jerison, David, and Inwon Kim. "The one-phase Hele-Shaw problem with singularities." Journal of Geometric Analysis 15, no. 4 (December 2005): 641–67. http://dx.doi.org/10.1007/bf02922248.
Dissertations / Theses on the topic "Hele-Shaw problem":
Dallaston, Michael C. "Mathematical models of bubble evolution in a Hele-Shaw Cell." Thesis, Queensland University of Technology, 2013. https://eprints.qut.edu.au/63701/1/Michael_Dallaston_Thesis.pdf.
Jackson, Michael. "Interfacial instability analysis of viscous flows in a Hele-Shaw channel." Thesis, Queensland University of Technology, 2021. https://eprints.qut.edu.au/212417/1/Michael_Jackson_Thesis.pdf.
David, Noemi. "Asymptotic analysis for a model of tumor growth: from a cell density model to a Hele-Shaw problem." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/17066/.
Estacio, Kémelli Campanharo. ""Simulação do processo de moldagem por injeção 2D usando malhas não estruturadas"." Universidade de São Paulo, 2004. http://www.teses.usp.br/teses/disponiveis/55/55134/tde-28072004-145944/.
Injection molding is one of the most important industrial processes for the manufacturing of thin plastic products. This process can be divided into four stages: plastic melting, filling, packing and cooling phases. The flow of a fluid characterized by high viscosity in a narrow gap is a problem typically found in injection molding processes. In this case, the flow can be described by a formulation known as Hele-Shaw approach. Such formulation can be btained from the three-dimensional conservation equation using a number of assumptions regarding the injected polymer and the geometry of the mold, together with the integration and the coupling of the momentum and continuity equations. This approach, referring to limitations of the mould geometry to narrow, weakly curved channels, is usually called 2 1/2D approach. In this work a technique for the simulation of the filling stage of the injection molding process, using this 2 1/2D approach, with a finite volume method and unstructured meshes, is presented. The modified-Cross model with Arrhenius temperature dependence is employed to describe the viscosity of the melt. The temperature field is 3D and it is solved using a semi-Lagrangian scheme based on the finite volume method. The employed unstructured meshes are generated by Delaunay triangulation and the implemented numerical method uses the topological data structure SHE - Singular Handle Edge, capable to deal with boundary conditions and singularities, aspects commonly found in numerical simulation of fluid flow.
Morrow, Liam Christopher. "A numerical investigation of Darcy-type moving boundary problems." Thesis, Queensland University of Technology, 2020. https://eprints.qut.edu.au/204264/1/Liam_Morrow_Thesis.pdf.
David, Noemi. "Incompressible limit and well-posedness of PDE models of tissue growth." Electronic Thesis or Diss., Sorbonne université, 2022. https://accesdistant.sorbonne-universite.fr/login?url=https://theses-intra.sorbonne-universite.fr/2022SORUS235.pdf.
Both compressible and incompressible porous medium models have been used in the literature to describe the mechanical aspects of living tissues, and in particular of tumor growth. Using a stiff pressure law, it is possible to build a link between these two different representations. In the incompressible limit, compressible models generate free boundary problems of Hele-Shaw type where saturation holds in the moving domain. Our work aims at investigating the stiff pressure limit of reaction-advection-porous medium equations motivated by tumor development. Our first study concerns the analysis and numerical simulation of a model including the effect of nutrients. Then, a coupled system of equations describes the cell density and the nutrient concentration. For this reason, the derivation of the pressure equation in the stiff limit was an open problem for which the strong compactness of the pressure gradient is needed. To establish it, we use two new ideas: an L3-version of the celebrated Aronson-Bénilan estimate, also recently applied to related problems, and a sharp uniform L4-bound on the pressure gradient. We further investigate the sharpness of this bound through a finite difference upwind scheme, which we prove to be stable and asymptotic preserving. Our second study is centered around porous medium equations including convective effects. We are able to extend the techniques developed for the nutrient case, hence finding the complementarity relation on the limit pressure. Moreover, we provide an estimate of the convergence rate at the incompressible limit. Finally, we study a multi-species system. In particular, we account for phenotypic heterogeneity, including a structured variable into the problem. In this case, a cross-(degenerate)-diffusion system describes the evolution of the phenotypic distributions. Adapting methods recently developed in the context of two-species systems, we prove existence of weak solutions and we pass to the incompressible limit. Furthermore, we prove new regularity results on the total pressure, which is related to the total density by a power law of state
Huntingford, C. "Unstable Hele-Shaw and Stefan problems." Thesis, University of Oxford, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.305462.
Khalid, A. H. "Free boundary problems in a Hele-Shaw cell." Thesis, University College London (University of London), 2015. http://discovery.ucl.ac.uk/1463159/.
Mostefai, Mohamed Sadek. "Déduction rigoureuse de l'équation de Reynolds à partir d'un système modélisant l'écoulement à faible épaisseur d'un fluide micropolaire, et étude de deux problèmes à frontière libre : Hele-Shaw généralisé et Stephan à deux phases pour un fluide non newtonien." Saint-Etienne, 1997. http://www.theses.fr/1997STET4019.
Jonsson, Karl. "Two Problems in non-linear PDE’s with Phase Transitions." Licentiate thesis, KTH, Matematik (Avd.), 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-223562.
QC 20180222
Books on the topic "Hele-Shaw problem":
Pugh, Mary Claire. Dynamics of interfaces of incompressible fluids: The Hele-Shaw problem. 1993.
Book chapters on the topic "Hele-Shaw problem":
Tani, Hisasi. "On Boundary Conditions for Hele-Shaw Problem." In Mathematical Analysis of Continuum Mechanics and Industrial Applications, 185–94. Singapore: Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-2633-1_14.
Fasano, A., and M. Primicerio. "Blow-Up and Regularization for the Hele-Shaw Problem." In Variational and Free Boundary Problems, 73–85. New York, NY: Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4613-8357-4_6.
Kuznetsov, Alexander. "A Note on Life-span of Classical Solutions to the Hele—Shaw Problem." In Analysis and Mathematical Physics, 369–76. Basel: Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-7643-9906-1_17.
Tani, Atusi, and Hisasi Tani. "Classical Solvability of the Two-Phase Radial Viscous Fingering Problem in a Hele-Shaw Cell." In Mathematical Fluid Dynamics, Present and Future, 317–48. Tokyo: Springer Japan, 2016. http://dx.doi.org/10.1007/978-4-431-56457-7_11.
Andreucci, Daniele, Giovanni Caruso, and Emmanuele DiBenedetto. "Ill-Posed Hele—Shaw Flows." In Free Boundary Problems, 27–51. Basel: Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-7893-7_3.
Meyer, Gunter H. "Front Tracking for the Unstable Hele-Shaw and Muskat Problems." In Flow in Porous Media, 129–37. Basel: Birkhäuser Basel, 1993. http://dx.doi.org/10.1007/978-3-0348-8564-5_12.
Andreucci, D., A. Fasano, and M. Primicerio. "On the Occurrence of Singularities in Axisymmetrical Problems of Hele-Shaw Type." In Free Boundary Problems in Continuum Mechanics, 23–38. Basel: Birkhäuser Basel, 1992. http://dx.doi.org/10.1007/978-3-0348-8627-7_3.
"2. The Hele–Shaw problem." In Free Boundaries in Rock Mechanics, 25–52. De Gruyter, 2017. http://dx.doi.org/10.1515/9783110546163-003.
"Chapter 26: Laplacian growth and Hele-Shaw flow." In Solving Problems in Multiply Connected Domains, 391–404. Philadelphia, PA: Society for Industrial and Applied Mathematics, 2020. http://dx.doi.org/10.1137/1.9781611976151.ch26.
"Computational Rheology and Applications." In Engineering Rheology, edited by Roger I. Tanner, 369–446. Oxford University PressOxford, 2000. http://dx.doi.org/10.1093/oso/9780198564737.003.0008.
Conference papers on the topic "Hele-Shaw problem":
Zhitnikov, Vladimir, Nataliya Sherykhalina, Aleksandra Sokolova, and Sergey Porechny. "Multi-Stage Filtering of Numerical Solutions With an Application to the Hele-Shaw Problem." In 8th Scientific Conference on Information Technologies for Intelligent Decision Making Support (ITIDS 2020). Paris, France: Atlantis Press, 2020. http://dx.doi.org/10.2991/aisr.k.201029.034.
Dupret, F., V. Verleye, and B. Languillier. "Numerical Prediction of the Molding of Composite Parts." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0476.
Courbebaisse, G., D. Garcia, and P. Bourgin. "A Way Towards Optimization of Injection Molding." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45763.
Etrati, Ali, and Ian Frigaard. "Laminar Displacement Flows in Vertical Eccentric Annuli: Experiments and Simulations." In ASME 2019 38th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/omae2019-95180.
Kabanemi, Kalonji K., Jean-François Hétu, and Abdessalem Derdouri. "Design Sensitivity Analysis Applied to Injection Molding Process: Injection Pressure and Multi-Gate Location Optimization." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-1223.
Rai, S. N., and B. S. Bhadauria. "Heat/mass transport in walter-B nanoliquid filled in hele-shaw cell under 3-types of g-Jitters with magnetic field." In PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0201333.
Kumar, Anish, and B. S. Bhadauria. "Nonlinear exploration of Oldroyd-B nano-liquid filled in hele-shaw cell under several types of gravity modulation with a thermal difference." In PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0201179.
Dai, Q., Y. Meng, K. Duan, and C. Y. Kwok. "Development of Multiphase Flow Simulation Method in DEM Under a Fixed-Grain Condition." In 57th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2023. http://dx.doi.org/10.56952/arma-2023-0532.