Results 81 to 90 of about 10,847 (104)
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Darboux points and integrability of Hamiltonian systems with homogeneous polynomial potential
Journal of Mathematical Physics, 2005In this paper we study the integrability of natural Hamiltonian systems with a homogeneous polynomial potential. The strongest necessary conditions for their integrability in the Liouville sense have been obtained by a study of the differential Galois group of variational equations along straight line solutions. These particular solutions can be viewed
Maciejewski, Andrzej J. +1 more
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On the dynamics of mechanical systems with homogeneous polynomial potentials of degree 4
Bulletin of the Brazilian Mathematical Society, New Series, 2007In this work we study mechanical systems defined by homogeneous polynomial potentials of degree 4 on the plane, when the potential has a definite or semi-definite sign and the energy is non-negative. We get a global description of the flow for the nonnegative potential case.
M. Falconi, E. A. Lacomba, C. Vidal
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On homogeneous polynomial solutions of the Riesz system and their harmonic potentials
Complex Variables and Elliptic Equations, 2007The spaces , of vector-valued homogeneous monogenic polynomials of degree k in are locally the building blocks of solutions to the Riesz system in . Furthermore, the Dirac operator ∂ x in determines an isomorphism between –the space of solid harmonics of degree (k + 1) in –and .
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2014
The present chapter covers certain existence results for Calm-Hilliard equations which are coupled with elasticity and partial damage processes (see Definition 3.4.1). We assume a binary mixture, a polynomial growth condition for the chemical potential, a homogeneous elastic energy density (with respect to the chemical concentration) and a p-Laplacian ...
Christian Heinemann, Christiane Kraus
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The present chapter covers certain existence results for Calm-Hilliard equations which are coupled with elasticity and partial damage processes (see Definition 3.4.1). We assume a binary mixture, a polynomial growth condition for the chemical potential, a homogeneous elastic energy density (with respect to the chemical concentration) and a p-Laplacian ...
Christian Heinemann, Christiane Kraus
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A Polynomial Membership Function Approach for Stability Analysis of Fuzzy Systems
IEEE Transactions on Fuzzy Systems, 2021Wen-Bo Xie, Hak-Keung Lam, Jian Zhang
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Simple Local Polynomial Density Estimators
Journal of the American Statistical Association, 2020Matias D Cattaneo, Michael Jansson
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Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics
Annual Review of Fluid Mechanics, 2009Habib N Najm
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