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One invariant measure and different Poisson brackets for two nonholonomic systems
Poisson nonholonomic Chaplygin Borisov-Mamaev-Fedorov system
2011/7/5
We discuss the nonholonomic Chaplygin and the Borisov-Mamaev-Fedorov systems, for
which symplectic forms are different deformations of the square root from the corresponding
invariant volume form. I...
A Discussion on the Different Notions of Symmetry of Differential Equations
Discussion Different Notions of Symmetry of Differential Equations
2011/1/19
A discussion is presented, within a simple unifying scheme, about dif-ferent types of symmetry of PDE’s, with the introduction and a precise characterization of the notions of “standard” and “weak” co...
Convergence to Diffusion Waves for Nonlinear Evolution Equations with Ellipticity and Damping, and with Different End States
evolution equations diffusion waves decay rate energy method a priori estimates
2007/12/11
In this paper, we consider the global existence and the asymptotic behavior of solutions to the Cauchy problem for the following nonlinear evolution equations with ellipticity and dissipative effects:...