Zobrazeno 1 - 10
of 110
pro vyhledávání: '"Kohlmann, Martin"'
Autor:
Kohlmann, Martin1 (AUTHOR) info@martin-kohlmann.de
Publikováno v:
Journal of Mathematics & Music. Dec2024, p1-13. 13p. 9 Illustrations, 6 Charts.
Autor:
Kohlmann, Martin
In the present paper, a two-component Camassa-Holm (2CH) system with vorticity is studied as a geodesic flow on a suitable Lie group. The paper aims at presenting various details of the geometric formalism and a major result is the computation of the
Externí odkaz:
http://arxiv.org/abs/1509.00694
Publikováno v:
J. Math. Anal. Appl. 431(1) 202-227 (2015)
As a model for an interface in solid state physics, we consider two real-valued potentials $V^{(1)}$ and $V^{(2)}$ on the cylinder or tube $S=\mathbb R \times (\mathbb R/\mathbb Z)$ where we assume that there exists an interval $(a_0,b_0)$ which is f
Externí odkaz:
http://arxiv.org/abs/1412.6420
Autor:
Kohlmann, Martin
Publikováno v:
J. Math. Anal. Appl. 408(2) 513-524 (2013)
A moving boundary problem with two free boundaries modeling a two-dimensional idealized MEMS device with pull-in instability is discussed. We use a fixed point argument to show that the model possesses stationary solutions for small source voltages.
Externí odkaz:
http://arxiv.org/abs/1407.3662
Autor:
Kohlmann, Martin
Publikováno v:
Acta Appl. Math. 138(1) (2015) 171-197
In this paper, we reformulate a mathematical model for the dynamics of an idealized electrostatically actuated MEMS device with two elastic membranes as an initial value problem for an abstract quasilinear evolution equation. Applying the Contraction
Externí odkaz:
http://arxiv.org/abs/1407.3672
Autor:
Kohlmann, Martin
Publikováno v:
Appl. Anal. 94(9-10) 2176-2200 (2015)
We discuss an evolution free boundary problem of mixed type with two free boundaries modeling an idealized electrostatically actuated MEMS device. While the electric potential is the solution of an elliptic equation, the dynamics of the membranes' di
Externí odkaz:
http://arxiv.org/abs/1407.3666
Autor:
Kohlmann, Martin
Publikováno v:
Z. Angew. Math. Mech. 94(3) 264-272 (2014)
We present some new persistence results for the non-periodic two-component Camassa-Holm (2CH) system in weighted $L_p$ spaces. Working with moderate weight functions that are commonly used in time-frequency analysis, the paper generalizes some recent
Externí odkaz:
http://arxiv.org/abs/1303.0717
Autor:
Kohlmann, Martin
Publikováno v:
J. Phys. A: Math. Theor. 45 (2012) 125205
We present a $2n$-component nonlinear evolutionary PDE which includes the $n$-dimensional versions of the Camassa-Holm and the Hunter-Saxton systems as well as their partially averaged variations. Our goal is to apply Arnold's [V.I. Arnold, Sur la g\
Externí odkaz:
http://arxiv.org/abs/1108.1553
Autor:
Kohlmann, Martin
We introduce a periodic two-dimensional $\mu$-$b$-equation and a periodic two-dimensional two-component $(\mu)$-Camassa-Holm equation which we study as geodesic flows on the diffeomorphism group of the torus and a semidirect product respectively. The
Externí odkaz:
http://arxiv.org/abs/1107.5404