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Gevrey regularity and analyticity for the modified Camassa–Holm equation
This paper deals with the analyticity and Gevrey regularity for the Cauchy problem of a modified Camassa–Holm (mCH) equation in Sobolev–Gevrey space
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The Gevrey analyticity and decay for the micropolar system in the critical Besov space
In this paper, we are concerned with the 3-D incompressible micropolar fluid system, which is a non-Newtonian fluid exhibiting micro-rotational...
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On sequences preserving q-Gevrey asymptotic expansions
The modification of the coefficients of formal power series is analyzed in order that such variation preserves q -Gevrey asymptotic properties, in...
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Wave-breaking phenomena and Gevrey regularity for the weakly dissipative generalized Camassa–Holm equation
This paper aims to establish a mechanism for the blow-up on a class of weakly dissipative shallow-water equations with a vavariable dipersion term,...
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The global existence and analyticity of a mild solution to the 3D regularized MHD equations
In this paper, we study the three-dimensional regularized MHD equations with fractional Laplacians in the dissipative and diffusive terms. We...
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The smoothing effect in sharp Gevrey space for the spatially homogeneous non-cutoff Boltzmann equations with a hard potential
In this article, we study the smoothing effect of the Cauchy problem for the spatially homogeneous non-cutoff Boltzmann equation for hard potentials....
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Gevrey regularity of the solutions of some inhomogeneous semilinear partial differential equations with variable coefficients
In this article, we are interested in the Gevrey properties of the formal power series solution in time of some partial differential equations with a...
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Gevrey Class for Locally Three-Phase-Lag Thermoelastic Beam System
In this article we study the behavior of the solutions for the three-phase-lag heat equation with localized dissipation on an Euler–Bernoulli beam...
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Spectral theory of the multi-frequency quasi-periodic operator with a Gevrey type perturbation
In this paper we study the multi-frequency quasi-periodic operator with a Gevrey type perturbation. We first establish the large deviation theorem...
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New lower bounds for the radius of analyticity for the mKdV equation and a system of mKdV-type equations
This paper is devoted to obtaining new lower bounds to the radius of spatial analyticity for the solutions of modified Korteweg–de Vries (mKdV)...
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On the global existence and analyticity of the mild solution for the fractional Porous medium equation
In this research article we focus on the study of existence of global solution for a three-dimensional fractional Porous medium equation. The main...
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Global well-posedness of a Prandtl model from MHD in Gevrey function spaces
We consider a Prandtl model derived from MHD in the Prandtl-Hartmann regime that has a dam** term due to the effect of the Hartmann boundary layer....
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Well-Posedness in Gevrey Function Space for the 3D Axially Symmetric MHD Boundary Layer Equations Without Structural Assumption
In this paper, we establish the well-posedness theory for the three-dimensional axially symmetric magnetohydrodynamic (MHD) boundary layer system in...
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Lower bounds on the radius of spatial analyticity of solution for KdV-BBM type equations
In this paper, we analyze the evolution of the radius of spatial analyticity to the solutions of generalized Korteweg-de Vries, Benjamin–Bona–Mahony...
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Gevrey class regularity for the global attractor of a two-dimensional non-Newtonian fluid
This article investigates Gevrey class regularity for the global attractor of an incompressible non-Newtonian fluid in a two-dimensional domain with...