Results 21 to 30 of about 518 (155)

Gevrey Regularity for the Noncutoff Nonlinear Homogeneous Boltzmann Equation with Strong Singularity [PDF]

Abstract and Applied Analysis, 2014
The Cauchy problem of the nonlinear spatially homogeneous Boltzmann equation without angular cutoff is studied. By using analytic techniques, one proves the Gevrey regularity of the C∞ solutions in non-Maxwellian and strong singularity cases.
Shi-you Lin
doaj   +2 more sources

Gevrey Regularity for a Fluid-Structure Interaction Model

Journal of Optimization Theory and Applications
A result of Gevrey regularity is ascertained for a semigroup which models a fluid-structure interaction problem. In this model, the fluid evolves in a piecewise smooth or convex geometry $\mathcal{O}$.
McKnight, Sara, McKnight, Dylan, Avalos, George   +2 more
core   +2 more sources

Gevrey Regularity of Invariant Curves of Analytic Reversible Mappings [PDF]

Advances in Difference Equations, 2010
We prove the existence of a Gevrey family of invariant curves for analytic reversible mappings under weaker nondegeneracy condition. The index of the Gevrey smoothness of the family could be any number , where is the exponent in the small divisors ...
Cheng Rong, Zhang Dongfeng
doaj   +4 more sources

Gevrey regularity for a generalization of the Ole??nik???Radkevi?? operator

Journal of Mathematical Analysis and Applications, 2014
The Gevrey hypoellipticity of a class of models generalizing the Oleinik-Radkevic operator is studied. Some partial regularity result is also given. It is studied the partial and microlocal regularity of the operator[GRAPHICS]on Omega, open neighborhood ...
Gregorio Chinni
core   +5 more sources

Boundary Values in Ultradistribution Spaces Related to Extended Gevrey Regularity [PDF]

Mathematics, 2020
Following the well-known theory of Beurling and Roumieu ultradistributions, we investigate new spaces of ultradistributions as dual spaces of test functions which correspond to associated functions of logarithmic-type growth at infinity.
Stevan Pilipović, Nenad Teofanov, Filip Tomić   +2 more
doaj   +4 more sources

Advancements in Gevrey Regularity for a Coupled Kadomtsev–Petviashvili II System: New Insights and Findings

Axioms
In this work, we prove that the initial value problem for a system of two Kadomtsev–Petviashvili II (KP II) equations coupled via both dispersive and nonlinear terms is locally well-posed in anisotropic Gevrey spaces Gs1,s2δ1,δ2,ϱ(R2)×Gs1,s2δ1,δ2,ϱ(R2 ...
Feriel Boudersa, Abdelaziz Mennouni, Ravi P. Agarwal   +2 more
doaj   +2 more sources

Beyond Gevrey regularity [PDF]

Journal of Pseudo-Differential Operators and Applications, 2016
28 ...
Pilipović, Stevan, Teofanov, Nenad, Tomić, Filip   +2 more
openaire   +2 more sources

Landau Damping: Paraproducts and Gevrey Regularity [PDF]

Annals of PDE, 2016
We give a new, simpler, proof of nonlinear Landau damping on T^d in Gevrey-1/s regularity (s > 1/3) which matches the regularity requirement predicted by the formal analysis of Mouhot and Villani in the original proof of Landau damping [Acta Mathematica 2011].
Bedrossian, Jacob, Masmoudi, Nader, Mouhot, Clément   +2 more
openaire   +2 more sources

On 𝐶^{∞} and Gevrey regularity of sublaplacians [PDF]

Transactions of the American Mathematical Society, 2006
In this paper we consider zero order perturbations of a class of sublaplacians on the two-dimensional torus and give sufficient conditions for global C
A. Himonas, Gerson Petronilho
openaire   +1 more source

Global Dynamics of the Compressible Fluid Model of the Korteweg Type in Hybrid Besov Spaces

Mathematics, 2022
We are concerned with a system of equations governing the evolution of isothermal, viscous, and compressible fluids of the Korteweg type, which is used to describe a two-phase liquid–vapor mixture.
Zihao Song, Jiang Xu
doaj   +1 more source