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Relevant bibliographies by topics / Euler Equation

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Academic literature on the topic 'Euler Equation'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 September 2023

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Journal articles on the topic "Euler Equation"

1

Lettau, Martin, and Sydney C. Ludvigson. "Euler equation errors." Review of Economic Dynamics 12, no. 2 (April 2009): 255–83. http://dx.doi.org/10.1016/j.red.2008.11.004.

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Bodaghi, Abasalt, Hossein Moshtagh, and Amir Mousivand. "Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional Equations." Journal of Function Spaces 2022 (October 10, 2022): 1–9. http://dx.doi.org/10.1155/2022/3021457.

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The aim of the current article is to characterize and to prove the stability of multi-Euler-Lagrange quadratic mappings. In other words, it reduces a system of equations defining the multi-Euler-Lagrange quadratic mappings to an equation, say, the multi-Euler-Lagrange quadratic functional equation. Moreover, some results corresponding to known stability (Hyers, Rassias, and Gӑvruta) outcomes regarding the multi-Euler-Lagrange quadratic functional equation are presented in quasi- β -normed and Banach spaces by using the fixed point methods. Lastly, an example for the nonstable multi-Euler-Lagrange quadratic functional equation is indicated.

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Marian, Daniela, Sorina Anamaria Ciplea, and Nicolaie Lungu. "Hyers–Ulam Stability of Order k for Euler Equation and Euler–Poisson Equation in the Calculus of Variations." Mathematics 10, no. 15 (July 22, 2022): 2556. http://dx.doi.org/10.3390/math10152556.

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In this paper, we define and study Hyers–Ulam stability of order 1 for Euler’s equation and Hyers–Ulam stability of order m−1 for the Euler–Poisson equation in the calculus of variations in two special cases, when these equations have the form y″(x)=f(x) and y(m)(x)=f(x), respectively. We prove some estimations for Jyx−Jy0x, where y is an approximate solution and y0 is an exact solution of the corresponding Euler and Euler-Poisson equations, respectively. We also give two examples.

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4

Karthigai Selvam, S. "The Characteristic Equation of the Euler-Cauchy Differential Equation and its Related Solution Using MATLAB." Asian Journal of Science and Applied Technology 10, no. 1 (May 15, 2021): 1–4. http://dx.doi.org/10.51983/ajsat-2021.10.1.2792.

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The behavior of nature is usually modelled with Differential Equations in various forms. Depending on the constrains and the accuracy of a model, the connected equations may be more or less complicated. For simple models we may use Non Homogeneous Equations but in general, we have to deal with Homogeneous ones since from a physicists point of view nature seems to be Homogeneous. In many applications of sciences, for solving many of them, often appear equations of type nth order Linear differential equations, where the number of them is Euler-Cauchy differential equations. i.e. Euler-Cauchy differential equations often appear in analysis of computer algorithms, notably in analysis of quick sort and search trees; a number of physics and engineering applications. In this paper, the researcher aims to present the solutions of a homogeneous Euler-Cauchy differential equation from the roots of the characteristics equation related with this differential equation using MATLAB. It is hoped that this work can contribute to minimize the lag in teaching and learning of this important Ordinary Differential Equation.

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GUHA, PARTHA. "EULER–POINCARÉ FLOWS ON THE LOOP BOTT–VIRASORO GROUP AND SPACE OF TENSOR DENSITIES AND (2 + 1)-DIMENSIONAL INTEGRABLE SYSTEMS." Reviews in Mathematical Physics 22, no. 05 (June 2010): 485–505. http://dx.doi.org/10.1142/s0129055x10003989.

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Following the work of Ovsienko and Roger ([54]), we study loop Virasoro algebra. Using this algebra, we formulate the Euler–Poincaré flows on the coadjoint orbit of loop Virasoro algebra. We show that the Calogero–Bogoyavlenskii–Schiff equation and various other (2 + 1)-dimensional Korteweg–deVries (KdV) type systems follow from this construction. Using the right invariant H1 inner product on the Lie algebra of loop Bott–Virasoro group, we formulate the Euler–Poincaré framework of the (2 + 1)-dimensional of the Camassa–Holm equation. This equation appears to be the Camassa–Holm analogue of the Calogero–Bogoyavlenskii–Schiff type (2 + 1)-dimensional KdV equation. We also derive the (2 + 1)-dimensional generalization of the Hunter–Saxton equation. Finally, we give an Euler–Poincaré formulation of one-parameter family of (1 + 1)-dimensional partial differential equations, known as the b-field equations. Later, we extend our construction to algebra of loop tensor densities to study the Euler–Poincaré framework of the (2 + 1)-dimensional extension of b-field equations.

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Melliani, S., L. Chadli, and A. Harir. "Fuzzy Euler differential equation." SOP Transactions on Applied Mathematics 2, no. 1 (January 31, 2015): 1–12. http://dx.doi.org/10.15764/am.2015.01001.

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Hasan, Amna, Hakeem A. Othman, and Sami H. Altoum. "q-Euler Lagrange Equation." American Journal of Applied Sciences 16, no. 9 (September 1, 2019): 283–88. http://dx.doi.org/10.3844/ajassp.2019.283.288.

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8

CIPRA, BARRY A. "Solutions to Euler Equation." Science 239, no. 4839 (January 29, 1988): 464. http://dx.doi.org/10.1126/science.239.4839.464.

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9

CHEN, JUN. "SUBSONIC FLOWS FOR THE FULL EULER EQUATIONS IN HALF PLANE." Journal of Hyperbolic Differential Equations 06, no. 02 (June 2009): 207–28. http://dx.doi.org/10.1142/s0219891609001873.

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We study the subsonic flows governed by full Euler equations in the half plane bounded below by a piecewise smooth curve asymptotically approaching the x1-axis. Nonconstant conditions in the far field are prescribed to ensure the real Euler flows. The Euler system is reduced to a single elliptic equation for the stream function. The existence, uniqueness, and asymptotic behaviors of the solutions for the reduced equation are established by the Schauder fixed point argument and some delicate estimates. The existence of subsonic flows for the original Euler system is proved based on the results for the reduced equation, and their asymptotic behaviors in the far field are also obtained.

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10

Liu, Mingshuo, Huanhe Dong, Yong Fang, and Yong Zhang. "Lie Symmetry Analysis of Burgers Equation and the Euler Equation on a Time Scale." Symmetry 12, no. 1 (December 19, 2019): 10. http://dx.doi.org/10.3390/sym12010010.

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As a powerful tool that can be used to solve both continuous and discrete equations, the Lie symmetry analysis of dynamical systems on a time scale is investigated. Applying the method to the Burgers equation and Euler equation, we get the symmetry of the equation and single parameter groups on a time scale. Some group invariant solutions in explicit form for the traffic flow model simulated by a Burgers equation and Euler equation with a Coriolis force on a time scale are studied.

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Dissertations / Theses on the topic "Euler Equation"

1

Eti, Neslihan Pashaev Oktay. "Classical And Quantum Euler Equation/." [s.l.]: [s.n.], 2007. http://library.iyte.edu.tr/tezler/master/matematik/T000610.pdf.

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2

Voss, Alexander. "Exact Riemann solution for the Euler equations with nonconvex and nonsmooth equation of state." [S.l.] : [s.n.], 2005. http://deposit.ddb.de/cgi-bin/dokserv?idn=976791641.

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3

Edwards, M. G. "Moving element methods with emphasis on the Euler equations." Thesis, University of Reading, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.378193.

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4

Im, Jeong Sook. "Comparison of the Korteweg-de Vries (KdV) equation with the Euler equations with irrotational initial conditions." The Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1281472399.

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Roberts, Thomas Wesley. "Euler equation computations for the flow over a hovering helicopter rotor." Thesis, Massachusetts Institute of Technology, 1987. http://hdl.handle.net/1721.1/14907.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1987.
MICROFICHE COPY AVAILABLE IN ARCHIVES AND AERO.
Bibliography: leaves 227-233.
by Thomas Wesley Roberts.
Ph.D.

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6

Modiano, David. "Adaptive mesh Euler equation computation of vortex breakdown in delta wing flow." Thesis, Massachusetts Institute of Technology, 1993. http://hdl.handle.net/1721.1/49895.

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Nishiyama, Shinichi. "Testing the life cycle/permanent income model : the Cross-Euler equation approach." Connect to resource, 2002. http://rave.ohiolink.edu/etdc/view.cgi?acc%5Fnum=osu1261399905.

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Papadopoulos, George. "Semi-global symplectic invariants of the Euler top." Thesis, The University of Sydney, 2013. http://hdl.handle.net/2123/9221.

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The semi-global symplectic invariants were introduced by Dufour et. al. as a means of verifying equivalence of integrable systems in one degree of freedom. In the main part of the thesis we explicitly compute the semi-global symplectic invariants near the hyperbolic equilibrium point of the Euler top, otherwise known as the rigid body. As an interim step, the Birkhoff normal form of the Hamiltonian at this point is computed using Lie series. The Picard-Fuchs ODE for the action near the hyperbolic equilibrium is derived. Using the method of Frobenius on the Picard-Fuchs equation we show that the Birkhoff normal form can also be found by inverting the Frobenius series of the regular action integral. Composition of the regular action integral with the singular action integral leads to the symplectic invariant. To our knowledge this is the first time that such invariants near a hyperbolic point have been computed explicitly using the Picard-Fuchs equation. Finally we discuss the convergence of these invariants using both analytical and numerical arguments, as well as explore the possibility of equivalence with the pendulum.

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Cichowlas, Cyril. "Equation d' Euler tronquée : de la dynamique des singularités complexes à la relaxation turbulente." Paris 6, 2005. https://tel.archives-ouvertes.fr/tel-00070819.

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Sarria, Alejandro. "Blow-up of Solutions to the Generalized Inviscid Proudman-Johnson Equation." ScholarWorks@UNO, 2012. http://scholarworks.uno.edu/td/1555.

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The generalized inviscid Proudman-Johnson equation serves as a model for n-dimensional incompressible Euler flow, gas dynamics, high-frequency waves in shallow waters, and orientation of waves in a massive director field of a nematic liquid crystal. Furthermore, the equation also serves as a tool for studying the role that the natural fluid processes of convection and stretching play in the formation of spontaneous singularities, or of their absence. In this work, we study blow-up, and blow-up properties, in solutions to the generalized, inviscid Proudman-Johnson equation endowed with periodic or Dirichlet boundary conditions. More particularly,regularity of solutions in an Lp setting will be measured via a direct approach which involves the derivation of representation formulae for solutions to the problem. For a real parameter lambda, several classes of initial data are considered. These include the class of smooth functions with either zero or nonzero mean, a family of piecewise constant functions, and a large class of initial data with a bounded derivative that is, at least, continuous almost everywhere and satisfies Holder-type estimates near particular locations in the domain. Amongst other results, our analysis will indicate that for appropriate values of the parameter, the curvature of the data in a neighborhood of these locations is responsible for an eventual breakdown of solutions, or their persistence for all time. Additionally, we will establish a nontrivial connection between the qualitative properties of L-infinity blow-up in ux, and its Lp regularity. Finally, for smooth and non-smooth initial data, a special emphasis is made on the study of regularity of stagnation point-form solutions to the two and three dimensional incompressible Euler equations subject to periodic or Dirichlet boundary conditions.

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Books on the topic "Euler Equation"

1

Lettau, Martin. Euler equation errors. Cambridge, MA: National Bureau of Economic Research, 2005.

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2

Fuhrer, Claus. Formulation and numerical solution of the equations of constrained mechanical motion. Koln: DFLVR, 1989.

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3

Landis, Markley F., and United States. National Aeronautics and Space Administration. Scientific and Technical Information Division., eds. Minimal parameter solution of the orthogonal matrix differential equation. [Washington, D.C.]: National Aeronautics and Space Administration, Scientific and Technical Information Division, 1988.

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4

Cannizzaro, Frank E. A multiblock multigrid three-dimensional Euler equation solver. [S.l.]: [s.n.], 1991.

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5

Center, Langley Research, ed. Singularities of the Euler equation and hydrodynamic stability. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1992.

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Center, Langley Research, ed. Singularities of the Euler equation and hydrodynamic stability. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1992.

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7

Kujii, Kozo. Evaluation of Euler and Navier-Stokes solutions for leading-edge and shock-induced separations. Chofu, Tokyo, Japan: National Aerospace Laboratory, 1985.

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8

Center, Langley Research, ed. Canonical-variables multigrid method for steady-state Euler equation. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1994.

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9

Farhi, Emmanuel. Capital taxation: Quantitative exploration of the inverse Euler equation. Cambridge, MA: Massachusetts Institute of Technology, Dept. of Economics, 2005.

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10

Farhi, Emmanuel. Capital taxation: Quantitative explorations of the Inverse Euler equation. Cambridge, MA: Massachusetts Institute of Technology, Dept. of Economics, 2009.

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Book chapters on the topic "Euler Equation"

1

Maciel, Walter J. "The Euler Equation." In Undergraduate Lecture Notes in Physics, 15–38. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-04328-9_2.

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2

Loeb, Arthur L. "The Euler-Schlaefli Equation." In Space Structures, 11–16. Boston, MA: Birkhäuser Boston, 1991. http://dx.doi.org/10.1007/978-1-4612-0437-4_3.

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3

Brechtken-Manderscheid, U. "The Euler differential equation." In Introduction to the Calculus of Variations, 14–38. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4899-3172-6_2.

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4

Kielhöfer, Hansjörg. "The Euler-Lagrange Equation." In Texts in Applied Mathematics, 1–56. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-71123-2_1.

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5

Webb, Gary. "Euler-Poincaré Equation Approach." In Magnetohydrodynamics and Fluid Dynamics: Action Principles and Conservation Laws, 115–36. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72511-6_7.

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6

Chen, Jingkai. "Peridynamics Beam Equation." In Nonlocal Euler–Bernoulli Beam Theories, 9–21. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69788-4_3.

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7

Jebril, Iqbal, Ghada Eid, Ma’mon Abu Hammad, and Duha AbuJudeh. "Atomic Solution of Euler Equation." In Mathematics and Computation, 359–64. Singapore: Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-0447-1_31.

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Crisan, Dan, and Prince Romeo Mensah. "Blow-Up of Strong Solutions of the Thermal Quasi-Geostrophic Equation." In Mathematics of Planet Earth, 1–14. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-18988-3_1.

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AbstractThe Thermal Quasi-Geostrophic (TQG) equation is a coupled system of equations that governs the evolution of the buoyancy and the potential vorticity of a fluid. It has a local in time solution as proved in Crisan et al. (Theoretical and computational analysis of the thermal quasi-geostrophic model. Preprint arXiv:2106.14850, 2021). In this paper, we give a criterion for the blow-up of solutions to the Thermal Quasi-Geostrophic equation, in the spirit of the classical Beale–Kato–Majda blow-up criterion (cf. Beale et al., Comm. Math. Phys. 94(1), 61–66, 1984) for the solution of the Euler equation.

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9

Marchioro, Carlo, and Mario Pulvirenti. "General Considerations on the Euler Equation." In Applied Mathematical Sciences, 1–58. New York, NY: Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-4284-0_1.

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10

González-Sánchez, David, and Onésimo Hernández-Lerma. "Direct Problem: The Euler Equation Approach." In SpringerBriefs in Mathematics, 11–34. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-01059-5_2.

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Conference papers on the topic "Euler Equation"

1

BARHOUMI, Abdessatar, Habib OUERDIANE, and Hafedh RGUIGUI. "GENERALIZED EULER HEAT EQUATION." In Proceedings of the 29th Conference. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814295437_0008.

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2

Filipovic, Mirjana. "Euler-Bernoulli equation today." In 2009 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2009). IEEE, 2009. http://dx.doi.org/10.1109/iros.2009.5353898.

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3

Heisserman, Jeff A. "A generalized Euler-Poincare´ equation." In the first ACM symposium. New York, New York, USA: ACM Press, 1991. http://dx.doi.org/10.1145/112515.112590.

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Dababneh, Amer, Ma'mon Abu Hammad, Amjed Zreqat, Bilal Albarmawi, and Siham Ali Abrikah. "Conformable Fractional of Euler Type Equation." In 2021 International Conference on Information Technology (ICIT). IEEE, 2021. http://dx.doi.org/10.1109/icit52682.2021.9491675.

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De Oliveira Wardil, Gustavo, Ramon Molina Valle, and José Eduardo Mautone Barros. "MODIFIED EULER EQUATION MODELING FOR RADIALS TURBOCOMPRESSORS." In SAE Brasil 2005 Congress and Exhibit. 400 Commonwealth Drive, Warrendale, PA, United States: SAE International, 2005. http://dx.doi.org/10.4271/2005-01-4147.

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Nakazawa, T., and T. Nonomura. "New calculation scheme for compressible Euler equation." In 15th World Congress on Computational Mechanics (WCCM-XV) and 8th Asian Pacific Congress on Computational Mechanics (APCOM-VIII). CIMNE, 2022. http://dx.doi.org/10.23967/wccm-apcom.2022.081.

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Filipovic, Mirjana, and Miomir Vukobratovic. "New interpretation of the Euler-Bernoulli equation." In 2008 6th International Symposium on Intelligent Systems and Informatics (SISY 2008). IEEE, 2008. http://dx.doi.org/10.1109/sisy.2008.4664967.

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Bin Chen. "A new equation involving the euler function." In 2010 IEEE International Conference on Information Theory and Information Security (ICITIS). IEEE, 2010. http://dx.doi.org/10.1109/icitis.2010.5689661.

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Phillips, Tyrone, and Christopher J. Roy. "Error Transport Equation Boundary Conditions for the Euler and Navier-Stokes Equations." In 52nd Aerospace Sciences Meeting. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2014. http://dx.doi.org/10.2514/6.2014-1432.

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GILES, MICHAEL. "Non-reflecting boundary conditions for Euler equation calculations." In 9th Computational Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1989. http://dx.doi.org/10.2514/6.1989-1942.

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Reports on the topic "Euler Equation"

1

Lettau, Martin, and Sydney Ludvigson. Euler Equation Errors. Cambridge, MA: National Bureau of Economic Research, September 2005. http://dx.doi.org/10.3386/w11606.

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2

McKay, Alisdair, Emi Nakamura, and Jón Steinsson. The Discounted Euler Equation: A Note. Cambridge, MA: National Bureau of Economic Research, March 2016. http://dx.doi.org/10.3386/w22129.

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3

Lewbel, Arthur, Oliver Linton, Sorawoot Srisuma, Juan Carlos Escanciano, and Stefan Hoderlein. Nonparametric Euler equation identification and estimation. Institute for Fiscal Studies, October 2015. http://dx.doi.org/10.1920/wp.cem.2015.6115.

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4

Boyd, Zachary M., Scott D. Ramsey, and Roy S. Baty. Symmetries of the Euler compressible flow equations for general equation of state. Office of Scientific and Technical Information (OSTI), October 2015. http://dx.doi.org/10.2172/1223765.

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5

Chen, G., S. G. Krantz, D. W. Ma, C. E. Wayne, and H. H. West. The Euler-Bernoulli Beam Equation with Boundary Energy Dissipation. Fort Belvoir, VA: Defense Technical Information Center, January 1988. http://dx.doi.org/10.21236/ada189517.

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Cooper, Russell, John Haltiwanger, and Jonathan Willis. Euler-Equation Estimation for Discrete Choice Models: A Capital Accumulation Application. Cambridge, MA: National Bureau of Economic Research, January 2010. http://dx.doi.org/10.3386/w15675.

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7

Carroll, Christopher. Death to the Log-Linearized Consumption Euler Equation! (And Very Poor Health to the Second-Order Approximation). Cambridge, MA: National Bureau of Economic Research, December 1997. http://dx.doi.org/10.3386/w6298.

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Frydman, Roman, Søren Johansen, Anders Rahbek, and Morten Nyboe Tabor. Asset Prices Under Knightian Uncertainty. Institute for New Economic Thinking Working Paper Series, December 2021. http://dx.doi.org/10.36687/inetwp172.

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We extend Lucas’s classic asset-price model by opening the stochastic process driving dividends to Knightian uncertainty arising from unforeseeable change. Implementing Muth’s hypothesis, we represent participants’ expectations as being consistent with our model’s predictions and formalize their ambiguity-averse decisions with maximization of intertemporal multiple-priors utility. We characterize the asset-price function with a stochastic Euler equation and derive a novel prediction that the relationship between prices and dividends undergoes unforeseeable change. Our approach accords participants’ expectations, driven by both fundamental and psychological factors, an autonomous role in driving the asset price over time, without presuming that participants are irrational.

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Acharya, Sushant, William Chen, Marco Del Negro, Keshav Dogra, Aidan Gleich, Shlok Goyal, Ethan Matlin, Donggyu Lee, Reca Sarfati, and Sikata Sengupta. Estimating HANK for Central Banks. Federal Reserve Bank of New York, August 2023. http://dx.doi.org/10.59576/sr.1071.

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We provide a toolkit for efficient online estimation of heterogeneous agent (HA) New Keynesian (NK) models based on Sequential Monte Carlo methods. We use this toolkit to compare the out-of-sample forecasting accuracy of a prominent HANK model, Bayer et al. (2022), to that of the representative agent (RA) NK model of Smets and Wouters (2007, SW). We find that HANK’s accuracy for real activity variables is notably inferior to that of SW. The results for consumption in particular are disappointing since the main difference between RANK and HANK is the replacement of the RA Euler equation with the aggregation of individual households’ consumption policy functions, which reflects inequality.

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10

Attanasio, Orazio, and Hamish Low. Estimating Euler Equations. Cambridge, MA: National Bureau of Economic Research, May 2000. http://dx.doi.org/10.3386/t0253.

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