Zobrazeno 1 - 10
of 38
pro vyhledávání: '"35c09"'
Autor:
Kaltenbacher, Barbara
Motivated by applications of nonlinear ultrasonics under continuous wave excitation, we study the Jordan-Moore-Gibson-Thompson (JMGT) equation -- a third order in time quasilinear PDE -- under time periodicity conditions. Here the coefficient of the
Externí odkaz:
http://arxiv.org/abs/2409.05355
Autor:
Matsuno, Yoshimasa
A nonlocal nonlinear Schr\"odinger equation with focusing nonlinearity is considered which has been derived as a continuum limit of the Calogero-Sutherland model in an integrable classical dynamical system. The equation is shown to stem from the comp
Externí odkaz:
http://arxiv.org/abs/2302.05108
Autor:
Paşa, Gelu
We study the linear stability of the displacement of three Stokes fluids with constant viscosity in a porous medium when the middle fluid is contained in a bounded region. We use the Hele-Shaw model. The eigenfunctions of the stability system are the
Externí odkaz:
http://arxiv.org/abs/2211.03519
Autor:
Pasa, Gelu I.
We study the displacement of three immiscible Stokes fluids with constant viscosities in a porous medium. The middle-layer fluid is contained in a bounded region. We give an analysis of the linear stability of this process. This stability problem has
Externí odkaz:
http://arxiv.org/abs/2203.11150
Autor:
Müller-Hoissen, Folkert
Using bidifferential calculus, we derive a vectorial binary Darboux transformation for the first member of the "negative" part of the AKNS hierarchy. A reduction leads to the first "negative flow" of the NLS hierarchy, which in turn is a reduction of
Externí odkaz:
http://arxiv.org/abs/2202.04512
We develop the uniform sparse Fast Fourier Transform (usFFT), an efficient, non-intrusive, adaptive algorithm for the solution of elliptic partial differential equations with random coefficients. The algorithm is an adaption of the sparse Fast Fourie
Externí odkaz:
http://arxiv.org/abs/2109.04131
Autor:
Han, Bin, Michelle, Michelle
Numerically solving the 2D Helmholtz equation is widely known to be very difficult largely due to its highly oscillatory solution, which brings about the pollution effect. A very fine mesh size is necessary to deal with a large wavenumber leading to
Externí odkaz:
http://arxiv.org/abs/2108.06469
Publikováno v:
The American Mathematical Monthly, 128:5, 387-406, 2021
The mathematics of crystalline structures connects analysis, geometry, algebra, and number theory. The planar crystallographic groups were classified in the late 19th century. One hundred years later, B\'erard proved that the fundamental domains of a
Externí odkaz:
http://arxiv.org/abs/2012.03288
Autor:
Paşa}, Gelu
An useful approximation for the displacement of two immiscible fluids in a porous medium is the Hele-Shaw model. We consider several liquids with different constant viscosities, inserted between the displacing fluids. The linear stability analysis of
Externí odkaz:
http://arxiv.org/abs/2008.12561
Autor:
Paşa, Gelu
We study the effects of some injection policies used in oil recovery process. The Saffman-Taylor instability occurs when a less viscous fluid is displacing a more viscous one, in a rectangular Hele-Shaw cell. The injection of $N$ successive intermedi
Externí odkaz:
http://arxiv.org/abs/1910.03576