# Finite Dimensional Uniform Attractors for the Nonautonomous Camassa-Holm Equations

## Related Articles

- Solvability of the Dirichlet problem for the general second-order elliptic equation. Dumanyan, V. Zh. // Doklady Mathematics;Feb2011, Vol. 83 Issue 1, p30
The article discusses the solvability of the Dirichlet problem which is a bounded domain for the second-order elliptic equation. It provides a proof that the problem contains a dimensionally continuous solution. This dimensional continuity can also be defined based on function values' proximity...

- Numerical Investigations on Impulsive Fuzzy Differential Equations. Shamsidah Bt Amir Hamzah, Nor; Mamat, Mustafa; Kavikumar, J.; Bt Ahmad, Noor'ani // Journal of Applied Sciences Research;Sep2013, Vol. 9 Issue 9, p5521
In this paper, we proposed a method for computing the approximate solution for impulsive fuzzy differential equations by utilizing the existing results in impulsive differential equations and fuzzy differential equations. The numerical solutions are investigated since many impulsive differential...

- Low-regularity solutions of the periodic Fornbergâ€“Whitham equation. Lixin Tian; Yuexia Chen; Xiuping Jiang; Limeng Xia // Journal of Mathematical Physics;Jul2009, Vol. 50 Issue 7, p073507
This paper studies low-regularity solutions of the periodic Fornbergâ€“Whitham equation with initial value. The existence and the uniqueness of solutions are proved. The results are illustrated by considering the periodic peakons of the periodic Fornbergâ€“Whitham equation.

- Generalized Eulerâ€“Lagrange Equations for Variational Problems with Scale Derivatives. Almeida, Ricardo; Torres, Delfim F. M. // Letters in Mathematical Physics;Jun2010, Vol. 92 Issue 3, p221
We obtain several Eulerâ€“Lagrange equations for variational functionals defined on a set of HÃ¶lder curves. The cases when the Lagrangian contains multiple scale derivatives, depends on a parameter, or contains higher-order scale derivatives are considered.

- Exact Explicit Traveling Wave Solution for the Generalized (2+1)-Dimensional Boussinesq Equation. Libing Zeng; Keding Qin; Shengqiang Tang // ISRN Applied Mathematics;2011, Special section p1
The sine-cosine method and the extended tanh method are used to construct exact solitary patterns solution and compactons solutions of the generalized (2+1)-dimensional Boussinesq equation. The compactons solutions and solitary patterns solutions of the generalized 21- dimensional Boussinesq...

- Jacobi spectral Galerkin methods for fractional integro-differential equations. Yang, Yin // Calcolo;Dec2015, Vol. 52 Issue 4, p519
We propose general spectral and pseudo-spectral Jacobi-Galerkin methods for fractional order integro-differential equations of Volterra type. The fractional derivative is described in the Caputo sense. We provide rigorous error analysis for spectral and pseudo-spectral Jacobi-Galerkin methods,...

- t 1/3 Superdiffusivity of Finite-Range Asymmetric Exclusion Processes on $${\mathbb{Z}}$$. Quastel, Jeremy; Valk�, Benedek // Communications in Mathematical Physics;Jul2007, Vol. 273 Issue 2, p379
We consider finite-range asymmetric exclusion processes on $${\mathbb{Z}}$$ with non-zero drift. The diffusivity D( t) is expected to be of $${\mathcal{O}}(t^{1/3})$$ . We prove that D( t) = Ct 1/3 in the weak (Tauberian) sense that $$\int_0^\infty e^{-\lambda t }tD(t)dt \ge C\lambda^{-7/3}$$ as...

- Traction patterns of tumor cells. Ambrosi, D.; Duperray, A.; Peschetola, V.; Verdier, C. // Journal of Mathematical Biology;Jan2009, Vol. 58 Issue 1/2, p163
The traction exerted by a cell on a planar deformable substrate can be indirectly obtained on the basis of the displacement field of the underlying layer. The usual methodology used to address this inverse problem is based on the exploitation of the Green tensor of the linear elasticity problem...

- Continuous dependence in case of permanent active effects on the partially bounded solutions of differential equations with variable structure. Dishlieva, Katya G.; Dishliev, Angel B.; Girginov, Cristian A.; Petkova, Sashka A. // Journal of Advanced Research in Dynamical & Control Systems;2013, Vol. 5 Issue 2, p16
A specific class of nonlinear non-autonomous systems of ordinary differential equations with variable structure is studied in this paper. The right sides of the system are countable many. Their change is done consecutively in time. The structure changes at the so called switching moments in...