Zobrazeno 1 - 10
of 321
pro vyhledávání: '"35c10"'
Autor:
Nahon, Mickaël, Oudet, Édouard
We introduce a method to compute efficiently and with arbitrary precision a basis of harmonic functions with prescribed singularities on a general compact surface of genus two and more. This basis is obtained as a composition of theta functions and t
Externí odkaz:
http://arxiv.org/abs/2410.06763
Autor:
Xu, Fei
In this paper, under the exponential/polynomial decay condition in Fourier space, we prove that the nonlinear solution to the quasi-periodic Cauchy problem for the weakly nonlinear Schr\"odinger equation in higher dimensions will asymptotically appro
Externí odkaz:
http://arxiv.org/abs/2409.10006
Autor:
Lastra, Alberto, Malek, Stephane
A novel asymptotic representation of the analytic solutions to a family of singularly perturbed $q-$difference-differential equations in the complex domain is obtained. Such asymptotic relation shows two different levels associated to the vanishing r
Externí odkaz:
http://arxiv.org/abs/2408.12335
Autor:
Cañizo, José A., Tassi, Niccolò
We study a nonlocal approximation of the Fokker-Planck equation in which we can estimate the speed of convergence to equilibrium in a way which respects the local limit of the equation. This uniform estimate cannot be easily obtained with standard in
Externí odkaz:
http://arxiv.org/abs/2407.03870
Autor:
Lee, Haesung
In this paper, we study the Dirichlet problem for Laplace's equation in an open disk. The uniqueness of solutions is ensured by the well-known weak maximum principle. We introduce a novel approach to demonstrate the existence of a solution using harm
Externí odkaz:
http://arxiv.org/abs/2407.01197
Autor:
Gray, W. Steven, Pham, Natalie
A class of parameter dependent Chen--Fliess series is introduced where the series coefficients are taken from a noncommutative ring of multivariable differential operators. Such series are shown in the linear case to represent formal solutions to Cau
Externí odkaz:
http://arxiv.org/abs/2406.19077
Autor:
Angstmann, Christopher N., Burney, Stuart-James M., Han, Daniel S., Henry, Bruce I., Huang, Boris Z., Xu, Zhuang
In this work, exact solutions are derived for an integer- and fractional-order time-delayed diffusion equation with arbitrary initial conditions. The solutions are obtained using Fourier transform methods in conjunction with the known properties of d
Externí odkaz:
http://arxiv.org/abs/2406.08777
Autor:
Angstmann, Christopher N., Burney, Stuart-James M., Han, Daniel S., Henry, Bruce I., Xu, Zhuang
Transport phenomena play a vital role in various fields of science and engineering. In this work, exact solutions are derived for advection equations with integer- and fractional-order time derivatives and a constant time-delay in the spatial derivat
Externí odkaz:
http://arxiv.org/abs/2406.00897
Autor:
Duaibes, A., Karpeshina, Yu.
The goal is a construction of stationary solutions close to a non-trivial combination of two plane waves at high energies for a periodic non-linear Schroedinger equation in dimension two. The corresponding isoenergetic surfaces are described for ever
Externí odkaz:
http://arxiv.org/abs/2312.17687
Autor:
Lastra, Alberto, Malek, Stéphane
The asymptotic behavior of the analytic solutions of a family of singularly perturbed q-difference-differential equations in the complex domain is studied. Different asymptotic expansions with respect to the perturbation parameter and to the time var
Externí odkaz:
http://arxiv.org/abs/2312.11064