Results 41 to 50 of about 16,555,549 (335)

On planar polynomial vector fields with elementary first integrals

Journal of Differential Equations, 2019
We show that under rather general conditions a polynomial differential system having an elementary first integral already must admit a Darboux first integral, and we explicitly characterize the vector fields in this class.
C. Christopher, J. Llibre, C. Pantazi, S. Walcher   +3 more
semanticscholar   +1 more source

Exponential Integrators Preserving First Integrals or Lyapunov Functions for Conservative or Dissipative Systems [PDF]

SIAM Journal on Scientific Computing, 2016
In this paper, combining the ideas of exponential integrators and discrete gradients, we propose and analyze a new structure-preserving exponential scheme for the conservative or dissipative system $\dot{y}=Q(My+\nabla U(y))$, where $Q$ is a $d\times d ...
Yu-Wen Li, Xinyuan Wu
semanticscholar   +1 more source

On the generic nonexistence of first integrals [PDF]

Proceedings of the American Mathematical Society, 1986
The property of having no C n {C^n} first integrals other than constants is shown to be generic in Diff r ( M ) {\operatorname {Diff} ^r}(M) for each r = 1 , 2 ,
openaire   +1 more source

A non-conventional discontinuous Lagrangian for viscous flow [PDF]

Royal Society Open Science, 2017
Drawing an analogy with quantum mechanics, a new Lagrangian is proposed for a variational formulation of the Navier–Stokes equations which to-date has remained elusive.
M. Scholle, F. Marner
doaj   +1 more source

On the topology of foliations with a first integral [PDF]

Boletim da Sociedade Brasileira de Matem�tica, 2000
31 ...
openaire   +2 more sources

Painleve property and the first integrals of nonlinear differential equations

, 2004
Link between the Painleve property and the first integrals of nonlinear ordinary differential equations in polynomial form is discussed. The form of the first integrals of the nonlinear differential equations is shown to determine by the values of the ...
Ablowitz, Conte, Conte, Cosgrove, Drach, Dubrovin, Elwakil, Fan, Fordy, Fordy, Hone, Hénon, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Liu, Lou, Musette, Newell, Nikolai A. Kudryashov, Olver, Weiss, Weiss, Yan   +31 more
core   +1 more source

Front speed enhancement by incompressible flows in three or higher dimensions [PDF]

, 2013
We study, in dimensions $N\geq 3$, the family of first integrals of an incompressible flow: these are $H^{1}_{loc}$ functions whose level surfaces are tangent to the streamlines of the advective incompressible field.
Communicated D. Kinderlehrer, Mohammad El Smaily, Stéphane Kirsch   +2 more
core   +2 more sources

Projective dynamics and first integrals

, 2014
We present the theory of tensors with Young tableau symmetry as an efficient computational tool in dealing with the polynomial first integrals of a natural system in classical mechanics.
A. Albouy, A. Albouy, A. Albouy, A. Nijenhuis, A. V. Borisov, A. Young, A.V. Borisov, A.V. Tsiganov, Alain Albouy, B. L. Waerden van der, B. O’Neill, C.G. J. Jacobi, D.E. Littlewood, E. Beltrami, E.T. Whittaker, G. Thompson, G.H. Katzin, H. Knörrer, H. Lundmark, H. Lundmark, H. Weyl, H. Weyl, H. Weyl, J. Chazy, J. L. Synge, J. Liouville, J. S. Frame, J. Towber, J. Vilms, J.-L. Lagrange, L. Euler, L.P. Eisenhart, M. Crampin, M. Crampin, M. Pedroni, P. Appell, P. Appell, P. Painlevé, P. S. Laplace, R. Brouzet, R. L. Agacy, R. Penrose, R. S. Palais, R.G. McLenaghan, S. Benenti, S. Bochner, S. Tabachnikov, T. Levi-Civita, T.Y. Thomas, T.Y. Thomas, V. I. Arnol’d, V. S. Matveev, V. S. Matveev, V.A. Fock, V.V. Kozlov, W. Fulton, W.-L. Chow   +56 more
core   +2 more sources

On the first-return integrals

Journal of Mathematical Analysis and Applications, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Reduction of Feynman integrals in the parametric representation II: reduction of tensor integrals

European Physical Journal C: Particles and Fields, 2021
In a recent paper by the author (Chen in JHEP 02:115, 2020), the reduction of Feynman integrals in the parametric representation was considered. Tensor integrals were directly parametrized by using a generator method.
Wen Chen
doaj   +1 more source