Littérature scientifique sur le sujet « Geometric PDEs »
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Articles de revues sur le sujet "Geometric PDEs"
Shardlow, Tony. « Geometric ergodicity for stochastic pdes ». Stochastic Analysis and Applications 17, no 5 (janvier 1999) : 857–69. http://dx.doi.org/10.1080/07362999908809639.
Texte intégralKrantz, Steven G., et Vicentiu D. Radulescu. « Perspectives of Geometric Analysis in PDEs ». Journal of Geometric Analysis 30, no 2 (1 novembre 2019) : 1411. http://dx.doi.org/10.1007/s12220-019-00303-2.
Texte intégralVitagliano, Luca. « Characteristics, bicharacteristics and geometric singularities of solutions of PDEs ». International Journal of Geometric Methods in Modern Physics 11, no 09 (octobre 2014) : 1460039. http://dx.doi.org/10.1142/s0219887814600391.
Texte intégralBezerra Júnior, Elzon C., João Vitor da Silva et Gleydson C. Ricarte. « Geometric estimates for doubly nonlinear parabolic PDEs ». Nonlinearity 35, no 5 (21 avril 2022) : 2334–62. http://dx.doi.org/10.1088/1361-6544/ac636e.
Texte intégralTehseen, Naghmana, et Geoff Prince. « Integration of PDEs by differential geometric means ». Journal of Physics A : Mathematical and Theoretical 46, no 10 (21 février 2013) : 105201. http://dx.doi.org/10.1088/1751-8113/46/10/105201.
Texte intégralNODA, TAKAHIRO, et KAZUHIRO SHIBUYA. « ON IMPLICIT SECOND-ORDER PDE OF A SCALAR FUNCTION ON A PLANE VIA DIFFERENTIAL SYSTEMS ». International Journal of Mathematics 22, no 07 (juillet 2011) : 907–24. http://dx.doi.org/10.1142/s0129167x11007069.
Texte intégralUdriste, Constantin, et Ionel Tevy. « Geometric Dynamics on Riemannian Manifolds ». Mathematics 8, no 1 (3 janvier 2020) : 79. http://dx.doi.org/10.3390/math8010079.
Texte intégralBoyer, A. L., C. Cardenas, F. Gibou et D. Levy. « Segmentation for radiotherapy treatment planning using geometric PDEs ». International Journal of Radiation Oncology*Biology*Physics 54, no 2 (octobre 2002) : 82–83. http://dx.doi.org/10.1016/s0360-3016(02)03200-5.
Texte intégralSURI, JASJIT, DEE WU, LAURA REDEN, JIANBO GAO, SAMEER SINGH et SWAMY LAXMINARAYAN. « MODELING SEGMENTATION VIA GEOMETRIC DEFORMABLE REGULARIZERS, PDE AND LEVEL SETS IN STILL AND MOTION IMAGERY : A REVISIT ». International Journal of Image and Graphics 01, no 04 (octobre 2001) : 681–734. http://dx.doi.org/10.1142/s0219467801000402.
Texte intégralHirica, Iulia, Constantin Udriste, Gabriel Pripoae et Ionel Tevy. « Least Squares Approximation of Flatness on Riemannian Manifolds ». Mathematics 8, no 10 (13 octobre 2020) : 1757. http://dx.doi.org/10.3390/math8101757.
Texte intégralThèses sur le sujet "Geometric PDEs"
Ndiaye, Cheikh Birahim. « Geometric PDEs on compact Riemannian manifolds ». Doctoral thesis, SISSA, 2007. http://hdl.handle.net/20.500.11767/4088.
Texte intégralBurovskiy, Pavel Andreevich. « Second order quasilinear PDEs in 3D : integrability, classification and geometric aspects ». Thesis, Loughborough University, 2009. https://dspace.lboro.ac.uk/2134/26691.
Texte intégralCHERMISI, MILENA. « Crystalline flow of planar partitions and a geometric approach for systems of PDEs ». Doctoral thesis, Università degli Studi di Roma "Tor Vergata", 2006. http://hdl.handle.net/2108/202647.
Texte intégralThe present thesis deals with two different subjects. Chapter 1 and Chapter 2 concern interfaces evolution problems in the plane. In Chapter 1 I consider the evolution of a polycrystalline material with three (or more) phases, in presence of for an even crystalline anisotropy ϕo whose one-sublevel set Fϕ := {ϕo ≤ 1} (the Frank diagram) is a regular polygon of n sides. The dual function ϕ : R2 → R defined by ϕ(ξ) := sup{ξ ·η : ϕo(η) ≤ 1} is crystalline too and Wϕ := {ϕ ≤ 1} is called the Wulff shape. I am particularly interested in the motion by crystalline curvature of special planar networks called elementary triods, namely a regular three-phase boundary given by the union of three Lipschitz curves, the interfaces, intersecting at a point called triple junction. Each interface is the union of a segment of finite length and a half-line, reproducing two consecutive sides of Wϕ. I analyze local and global existence and stability of the flow. I prove that there exists, locally in time, a unique stable regular flow starting from a stable regular initial datum. I show that if n, the number of sides of Wϕ, is a multiple of 6 then the flow is global and converge to a homothetic flow as t → +∞. The analysis of the long time behavior requires the study of the stability. Stability is the ingredient that ensures that no additional segments develop at the triple junction during the flow. In general, the flow may become unstable at a finite time: if this occurs and none of the segments desappears, it is possible to construct a regular flow at subsequent times by adding an infinitesimal segment (or even an arc with zero crystalline curvature) at the triple junction. I also show that a segment may desappear. In such a case, the Cahn-Hoffman vector field Nmin has a jump discontinuity and the triple junction translates along the remaining adjacent half-line at subsequent times. Each of these flows has the property that all crystalline curvatures remain bounded (even if a segment appears or disappears). I want to stress that Taylor already predicted the appearance of new edges from a triple junction. I also consider the crystalline curvature flow starting from a stable ϕ-regular partition formed by two adjacent elementary triods. I discuss some examples of collapsing situations that lead to changes of topology, such as for instance the collision of two triple junctions. These examples (as well as the local in time existence result) show one of the advantages of crystalline flows with respect, for instance, to the usual mean curvature flow: explicit computations can be performed to some extent, and in case of nonuniqueness, a comparison between the energies of different evolutions (difficult in the euclidean case) can be made. In Chapter 2 we introduce, using the theory of S1-valued functions of bounded variations, a class of energy functionals defined on partitions and we produce, through the first variation, a new model for the evolution of interfaces which partially extends the one in Chapter 1 and which consists of a free boundary problem defined on S1-valued functions of bounded variation. This model is related to the evolution of polycrystals where the Wulff shape is allowed to rotate. Assuming the local existence of the flow, we show convexity preserving and embeddedness preserving properties. The second subject of the thesis is considered in Chapter 3 where we aim to extend the level set method to systems of PDEs. The method we propose is consistent with the previous research pursued by Evans for the heat equation and by Giga and Sato for Hamilton-Jacobi equations. Our approach follows a geometric construction related to the notion of barriers introduced by De Giorgi. The main idea is to force a comparison principle between manifolds of different codimension and require each sub-level of a solution of the level set equation to be a barrier for the graph of a solution of the corresponding system. We apply the method for a class of systems of first order quasi-linear equations. We compute the level set equation associated with suitable first order systems of conservation laws, with the mean curvature flow of a manifold of arbitrary codimension and with systems of reaction-diffusion equations. Finally, we provide a level set equation associated with the parametric curvature flow of planar curves.
Benatti, Luca. « Monotonicity Formulas in Nonlinear Potential Theory and their geometric applications ». Doctoral thesis, Università degli studi di Trento, 2022. http://hdl.handle.net/11572/346959.
Texte intégralMascellani, Giovanni. « Fourth-order geometric flows on manifolds with boundary ». Doctoral thesis, Scuola Normale Superiore, 2017. http://hdl.handle.net/11384/85715.
Texte intégralNakauchi, Gene. « Analytical and numerical results for a curvature-driven geometric flow rule ». Thesis, Queensland University of Technology, 2019. https://eprints.qut.edu.au/127335/1/Gene_Nakauchi_Thesis.pdf.
Texte intégralJunca, Stéphane. « Oscillating waves for nonlinear conservation laws ». Habilitation à diriger des recherches, Université Nice Sophia Antipolis, 2013. http://tel.archives-ouvertes.fr/tel-00845827.
Texte intégralJevnikar, Aleks. « Variational aspects of Liouville equations and systems ». Doctoral thesis, SISSA, 2015. http://hdl.handle.net/20.500.11767/4847.
Texte intégralCekić, Mihajlo. « The Calderón problem for connections ». Thesis, University of Cambridge, 2017. https://www.repository.cam.ac.uk/handle/1810/267829.
Texte intégralUgail, Hassan, M. I. G. Bloor et M. J. Wilson. « Manipulation of PDE surfaces using an interactively defined parameterisation ». Elsevier, 1999. http://hdl.handle.net/10454/2669.
Texte intégralManipulation of PDE surfaces using a set of interactively defined parameters is considered. The PDE method treats surface design as a boundary-value problem and ensures that surfaces can be defined using an appropriately chosen set of boundary conditions and design parameters. Here we show how the data input to the system, from a user interface such as the mouse of a computer terminal, can be efficiently used to define a set of parameters with which to manipulate the surface interactively in real time.
Livres sur le sujet "Geometric PDEs"
Gursky, Matthew J., Ermanno Lanconelli, Andrea Malchiodi, Gabriella Tarantello, Xu-Jia Wang et Paul C. Yang. Geometric Analysis and PDEs. Sous la direction de Sun-Yung Alice Chang, Antonio Ambrosetti et Andrea Malchiodi. Berlin, Heidelberg : Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-01674-5.
Texte intégralPonce, Augusto C. Elliptic PDEs, measures and capacities : From the Poisson equation to nonlinear Thomas-Fermi problems. Zürich : European Mathematical Society, 2016.
Trouver le texte intégralC.I.M.E. Summer School (2007 : Cetraro, Italy), dir. Geometric analysis and PDEs : Lectures given at the C.I.M.E. summer school held in Cetraro, Italy June 11-16, 2007. Berlin : Springer-Verlag, 2009.
Trouver le texte intégralHyperbolic partial differential equations and geometric optics. Providence, R.I : American Mathematical Society, 2012.
Trouver le texte intégralCitti, Giovanna, Maria Manfredini, Daniele Morbidelli, Sergio Polidoro et Francesco Uguzzoni, dir. Geometric Methods in PDE’s. Cham : Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-02666-4.
Texte intégralGeometric asymptotics for nonlinear PDE. Providence, R.I : American Mathematical Society, 2001.
Trouver le texte intégralGeometry of PDEs and mechanics. Singapore : World Scientific, 1996.
Trouver le texte intégralFerone, Vincenzo, Tatsuki Kawakami, Paolo Salani et Futoshi Takahashi, dir. Geometric Properties for Parabolic and Elliptic PDE's. Cham : Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-73363-6.
Texte intégralGazzola, Filippo, Kazuhiro Ishige, Carlo Nitsch et Paolo Salani, dir. Geometric Properties for Parabolic and Elliptic PDE's. Cham : Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-41538-3.
Texte intégralMagnanini, Rolando, Shigeru Sakaguchi et Angelo Alvino, dir. Geometric Properties for Parabolic and Elliptic PDE's. Milano : Springer Milan, 2013. http://dx.doi.org/10.1007/978-88-470-2841-8.
Texte intégralChapitres de livres sur le sujet "Geometric PDEs"
Gursky, Matthew J. « PDEs in Conformal Geometry ». Dans Geometric Analysis and PDEs, 1–33. Berlin, Heidelberg : Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-01674-5_1.
Texte intégralLanconelli, Ermanno. « Heat Kernels in Sub-Riemannian Settings ». Dans Geometric Analysis and PDEs, 35–61. Berlin, Heidelberg : Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-01674-5_2.
Texte intégralMalchiodi, Andrea. « Concentration of Solutions for Some Singularly Perturbed Neumann Problems ». Dans Geometric Analysis and PDEs, 63–115. Berlin, Heidelberg : Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-01674-5_3.
Texte intégralTarantello, Gabriella. « On Some Elliptic Problems in the Study of Selfdual Chern-Simons Vortices ». Dans Geometric Analysis and PDEs, 117–75. Berlin, Heidelberg : Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-01674-5_4.
Texte intégralWang, Xu-Jia. « The k-Hessian Equation ». Dans Geometric Analysis and PDEs, 177–252. Berlin, Heidelberg : Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-01674-5_5.
Texte intégralYang, Paul. « Minimal Surfaces in CR Geometry ». Dans Geometric Analysis and PDEs, 253–73. Berlin, Heidelberg : Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-01674-5_6.
Texte intégralUgail, Hassan. « Elliptic PDEs for Geometric Design ». Dans Partial Differential Equations for Geometric Design, 31–45. London : Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-784-6_4.
Texte intégralCalogero, F. « Universal Integrable Nonlinear PDEs ». Dans Applications of Analytic and Geometric Methods to Nonlinear Differential Equations, 109–14. Dordrecht : Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-2082-1_11.
Texte intégralMacià, Fabricio. « Geometric Control of Eigenfunctions of Schrödinger Operators ». Dans Research in PDEs and Related Fields, 151–68. Cham : Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-14268-0_5.
Texte intégralChan, Tony F., et Jianhong Shen. « Bayesian Inpainting Based on Geometric Image Models ». Dans Recent Progress in Computational and Applied PDES, 73–99. Boston, MA : Springer US, 2002. http://dx.doi.org/10.1007/978-1-4615-0113-8_5.
Texte intégralActes de conférences sur le sujet "Geometric PDEs"
Toutain, Matthieu, Abderrahim Elmoataz et Olivier Lezoray. « Geometric PDEs on Weighted Graphs for Semi-supervised Classification ». Dans 2014 13th International Conference on Machine Learning and Applications (ICMLA). IEEE, 2014. http://dx.doi.org/10.1109/icmla.2014.43.
Texte intégralBaniamerian, A., et K. Khorasani. « Fault detection and isolation of dissipative parabolic PDEs : Finite-dimensional geometric approach ». Dans 2012 American Control Conference - ACC 2012. IEEE, 2012. http://dx.doi.org/10.1109/acc.2012.6315006.
Texte intégralZhao, Yiming, et Jason D. Dykstra. « Vibrations of Curved and Twisted Beam ». Dans ASME 2015 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/dscc2015-9880.
Texte intégralMarquez, Ricardo, et Michael Modest. « Implementation of the PN-Approximation for Radiative Heat Transfer on OpenFOAM ». Dans ASME 2013 Heat Transfer Summer Conference collocated with the ASME 2013 7th International Conference on Energy Sustainability and the ASME 2013 11th International Conference on Fuel Cell Science, Engineering and Technology. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/ht2013-17556.
Texte intégralBanerjee, Abhishek, et Ameeya Kumar Nayak. « Assessment and Prediction of EOF Mixing in Binary Electrolytes ». Dans ASME 2017 Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/fedsm2017-69524.
Texte intégralLi, H. Z. « Variational problems and PDEs in affine differential geometry ». Dans PDEs, Submanifolds and Affine Differential Geometry. Warsaw : Institute of Mathematics Polish Academy of Sciences, 2005. http://dx.doi.org/10.4064/bc69-0-1.
Texte intégralBelkhelfa, Mohamed, Franki Dillen et Jun-ichi Inoguchi. « Surfaces with parallel second fundamental form in Bianchi-Cartan-Vranceanu spaces ». Dans PDEs, Submanifolds and Affine Differential Geometry. Warsaw : Institute of Mathematics Polish Academy of Sciences, 2002. http://dx.doi.org/10.4064/bc57-0-5.
Texte intégralDjorić, Mirjana, et Masafumi Okumura. « CR submanifolds of maximal CR dimension in complex manifolds ». Dans PDEs, Submanifolds and Affine Differential Geometry. Warsaw : Institute of Mathematics Polish Academy of Sciences, 2002. http://dx.doi.org/10.4064/bc57-0-6.
Texte intégralGálvez, J. A., et A. Martínez. « Hypersurfaces with constant curvature in Rn+1 ». Dans PDEs, Submanifolds and Affine Differential Geometry. Warsaw : Institute of Mathematics Polish Academy of Sciences, 2002. http://dx.doi.org/10.4064/bc57-0-7.
Texte intégralGollek, Hubert. « Natural algebraic representation formulas for curves in C3 ». Dans PDEs, Submanifolds and Affine Differential Geometry. Warsaw : Institute of Mathematics Polish Academy of Sciences, 2002. http://dx.doi.org/10.4064/bc57-0-8.
Texte intégralRapports d'organisations sur le sujet "Geometric PDEs"
Moreno, Giovanni. A Natural Geometric Framework for the Space of Initial Data of Nonlinear PDEs. GIQ, 2012. http://dx.doi.org/10.7546/giq-13-2012-245-257.
Texte intégralYau, Stephen S. PDE, Differential Geometric and Algebraic Methods in Nonlinear Filtering. Fort Belvoir, VA : Defense Technical Information Center, janvier 1993. http://dx.doi.org/10.21236/ada260967.
Texte intégralYau, Stephen S. PDE, Differential Geometric and Algebraic Methods for Nonlinear Filtering. Fort Belvoir, VA : Defense Technical Information Center, février 1996. http://dx.doi.org/10.21236/ada310330.
Texte intégralTannenbaum, Allen R. Geometric PDE's and Invariants for Problems in Visual Control Tracking and Optimization. Fort Belvoir, VA : Defense Technical Information Center, janvier 2005. http://dx.doi.org/10.21236/ada428955.
Texte intégralYau, Stephen S. T. PDE, Differential Geometric, Algebraic, Wavelet and Parallel Computation Methods in Nonlinear Filtering. Fort Belvoir, VA : Defense Technical Information Center, juin 2003. http://dx.doi.org/10.21236/ada415460.
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