Zobrazeno 1 - 10
of 42 091
pro vyhledávání: '"Mathematics - Classical Analysis and ODEs"'
Autor:
Stefanescu, Eduard
We investigate the boundary-value problem of atmospheric Ekman flows with piecewise-uniform eddy viscosity. In addition we present a method for finding more general solutions by considering eddy viscosity as an arbitrary step-function. We discuss the
Externí odkaz:
http://arxiv.org/abs/2409.04052
We continue to study a quintic Z2-equivariant Li\'enard system $\dot x=y,\dot y=-(a_0x+a_1x^3+a_2x^5)-(b_0+b_1x^2)y$ with $a_2b_1\ne 0$, arising from the complex Ginzburg-Landau equation. Global dynamics of the system have been studied in [{\it SIAM
Externí odkaz:
http://arxiv.org/abs/2409.04024
Autor:
Petek, Tatjana, Romanovski, Valery
We investigate the integrability of polynomial vector fields through the lens of duality in parameter spaces. We examine formal power series solutions anihilated by differential operators and explore the properties of the integrability variety in rel
Externí odkaz:
http://arxiv.org/abs/2409.04322
Autor:
Sampedro, Juan Carlos
In this paper we use abstract bifurcation theory for Fredholm operators of index zero to deal with periodic even solutions of the one-dimensional equation $\mathcal{L}u=\lambda u+|u|^{p}$, where $\mathcal{L}$ is a nonlocal pseudodifferential operator
Externí odkaz:
http://arxiv.org/abs/2409.04253
We consider Schatten class membership of multi-parameter Hankel operators on the Paley--Wiener space of a bounded convex domain $\Omega$. For admissible domains, we develop a framework and theory of Besov spaces of Paley--Wiener type. We prove that a
Externí odkaz:
http://arxiv.org/abs/2409.04184
The paper investigates a generalization of the classical Sitnikov problem, concentrating on the movement of a satellite along the Z-axis as it interacts with $n$ primary bodies in periodic motion. It establishes the existence of an infinite number of
Externí odkaz:
http://arxiv.org/abs/2409.03934
Autor:
Fraser, Jonathan M.
Given $s \in (0,1]$ and $t \in [0,2]$, suppose a set $X$ in the plane has the following property:~there is a collection of lines of packing dimension $t$ such that every line from the collection intersects $X$ in a set of packing dimension at least $
Externí odkaz:
http://arxiv.org/abs/2409.03678
We prove Sobolev-Poincar\'e and Poincar\'e inequalities in variable Lebesgue spaces $L^{p(\cdot)}(\Omega)$, with $\Omega\subset{\mathbb R}^n$ a bounded John domain, with weaker regularity assumptions on the exponent $p(\cdot)$ that have been used pre
Externí odkaz:
http://arxiv.org/abs/2409.03660
Autor:
Sheng, Fangze
The Dubrovin conjecture predicts a relationship between the monodromy data of the Frobenius manifold associated to the quantum cohomology of a smooth projective variety and the bounded derived category of the same variety. A refinement of this conjec
Externí odkaz:
http://arxiv.org/abs/2409.03590
In this article, we introduce Lyapunov-type results to investigate the stability of the trivial solution of a Stieltjes dynamical system. We utilize prolongation results to establish the global existence of the maximal solution. Using Lyapunov's seco
Externí odkaz:
http://arxiv.org/abs/2409.03408