Results 51 to 60 of about 2,438 (123)

Dissipativity and Gevrey regularity of a Smoluchowski equation [PDF]

Indiana University Mathematics Journal, 2005
Summary: We investigate a Smoluchowski equation (a nonlinear Fokker-Planck equation on the unit sphere), which arises in modeling of colloidal suspensions. We prove the dissipativity of the equation in 2D and 3D, in certain Gevrey classes of analytic functions.
Constantin, Peter, Titi, Edriss S., Vukadinovic, Jesenko   +2 more
openaire   +2 more sources

Taylor dispersion and phase mixing in the non‐cutoff Boltzmann equation on the whole space

Proceedings of the London Mathematical Society, Volume 129, Issue 1, July 2024.
Abstract In this paper we describe the long‐time behavior of the non‐cutoff Boltzmann equation with soft potentials near a global Maxwellian background on the whole space in the weakly collisional limit (that is, infinite Knudsen number 1/ν→∞$1/\nu \rightarrow \infty$). Specifically, we prove that for initial data sufficiently small (independent of the
Jacob Bedrossian, Michele Coti Zelati, Michele Dolce   +2 more
wiley   +1 more source

Resurgent aspects of applied exponential asymptotics

Studies in Applied Mathematics, Volume 152, Issue 3, Page 974-1025, April 2024.
Abstract In many physical problems, it is important to capture exponentially small effects that lie beyond‐all‐orders of an algebraic asymptotic expansion; when collected, the full asymptotic expansion is known as a trans‐series. Applied exponential asymptotics has been enormously successful in developing practical tools for studying the leading ...
Samuel Crew, Philippe H. Trinh
wiley   +1 more source

Solutions of Inhomogeneous Multiplicatively Advanced ODEs and PDEs with a q‐Fredholm Theory and Applications to a q‐Advanced Schrödinger Equation

Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.
For q > 1, a new Green’s function provides solutions of inhomogeneous multiplicatively advanced ordinary differential equations (iMADEs) of form y(N)(t) − Ay(qt) = f(t) for t ∈ [0, ∞). Such solutions are extended to global solutions on ℝ. Applications to inhomogeneous separable multiplicatively advanced partial differential equations are presented ...
David W. Pravica, Njinasoa Randriampiry, Michael J. Spurr, Paul Eloe   +3 more
wiley   +1 more source

Gevrey class regularity for the viscous Camassa–Holm equations

Applied Mathematics Letters, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu, Yongjiang, Li, Kaitai
openaire   +1 more source

Kirchhoff equations in generalized Gevrey spaces: local existence, global existence, uniqueness [PDF]

, 2009
In this note we present some recent results for Kirchhoff equations in generalized Gevrey spaces. We show that these spaces are the natural framework where classical results can be unified and extended.
Ghisi, Marina, Gobbino, Massimo
core   +2 more sources

Gevrey class regularity for analytic differential-delay equations [PDF]

Proceedings of The 10'th Colloquium on the Qualitative Theory of Differential Equations (July 1–4, 2015, Szeged, Hungary) edited by: T. Krisztin, 2016
Summary: This paper considers differential-delay equations of the form \[ x'(t)=p(t)x(t-1), \] where the coefficient function \(p\colon\mathbb R\rightarrow\mathbb C\) is analytic and not bounded on any \(\delta\)-neighborhood of the intervals \((-\infty,\gamma]\), \(\gamma\in\mathbb R\).
Nussbaum Roger D., Vas Gabriella
openaire   +4 more sources

Band-limited wavelets beyond Gevrey regularity

International Journal of Wavelets, Multiresolution and Information Processing
It is known that a smooth function of exponential decay at infinity cannot be an orthonormal wavelet. Dziubański and Hernández constructed smooth orthonormal wavelets of Gevrey-type subexponential decay. We weaken the Gevrey-type decay and construct orthonormal wavelets of subexponential decay related to the so-called extended Gevrey classes.
Nenad Teofanov, Filip Tomić, Stefan Tutić   +2 more
openaire   +3 more sources

On nonlinear Landau damping and Gevrey regularity

, 2023
In this article we study the problem of nonlinear Landau damping for the Vlasov-Poisson equations on the torus. As our main result we show that for perturbations initially of size $\epsilon > 0$ and time intervals $(0, \epsilon−N)$ one obtains nonlinear stability in regularity classes larger than Gevrey 3, uniformly in ǫ.
openaire   +1 more source

Gevrey Smoothing Effect for Solutions of the Non-Cutoff Boltzmann Equation in Maxwellian Molecules Case [PDF]

, 2013
In this paper we study the Gevrey regularity for the weak solutions to the Cauchy problem of the non-cutoff spatially homogeneous Botlzmann equation for the Maxwellian molecules model with the singularity exponent $s\in (0,1)$. We establish that any weak
Yin, Zhaoyang, Zhang, Teng-Fei
core