Results 101 to 110 of about 518 (155)
Analyticity and Gevrey-Class Regularity for the Second-Grade Fluid Equations
, 2009 We address the global persistence of analyticity and Gevrey-class regularity of solutions to the two and three-dimensional visco-elastic second-grade fluid equations.
Marius Paicu +3 more
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Towards a safe and efficient clinical implementation of machine learning in radiation oncology by exploring model interpretability, explainability and data-model dependency. [PDF]
Phys Med Biol, 2022 Barragán-Montero A +12 more
europepmc +1 more source
Gevrey regularity for a class of dissipative equations with analytic nonlinearity
, 2014 In this paper, we establish Gevrey class regularity of solutions to a class of dissipative equations with an analytic nonlinearity in the whole space. This generalizes the results of Ferrari and Titi in the periodic space case with initial data in L2L2 ...
Biswas, Animikh, Bae, Hantaek
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A note on Gevrey class regularity for the solutions of the Navier-Stokes equations
, 1992 In this note we present results on Gevrey class regularity of the solutions of the Navier-Stokes equations with space periodic boundary conditions. We give a generalization of results of C. Foias and R. Temam (J. Funct. Anal. 87, 359–369, 1988)
Liu, Xiaosong
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, 2002 Treves, F., [15], proved the hypoellipticity of some regular operators. Later, Hörmander, L.,[11] Durand, M., [7], and Oleinik, O.A. & Radkevic, E. V., [13], considered independently second order operators which are sum of squares of real vector fields ...
Hazi, Mohammed
core
About Gevrey-L2-estimates of pseudo-differential operators associated to the Gevrey symbols
, 2005 This paper deals with the Gevrey regularity of pseudo-differential operators in C**.
Hazi, Mohammed
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Anisotropic Gevrey regularity for mKdV on the circle
, 2011 It is shown that the solution to the Cauchy problem for the modified Korteweg-de Vries equation with initial data in an analytic Gevrey space $G^\sigma$, $\sigma \>= 1$, as a function of the spacial variable belongs to the same Gevrey space. However, considered as function of time the solution does not belong to $G^\sigma$. In fact, it belong to $G^(3\
openaire +1 more source
Global Analytic and Gevrey Regularity for non-linear Operators on the Torus
, 2007 We prove a result of global Gevrey and analytic regularity on the torus for non-linear operators constructed from rigid vector fields, with coefficients depending on the solution and on its first derivatives.
ZANGHIRATI, Luisa, BOITI, Chiara
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Gevrey regularity and analyticity for the solutions of the Vlasov-Navier-Stokes system
In this paper, we prove propagation of $\frac{1}{s}$-Gevrey regularity $(s \in (0, 1))$ and analyticity $(s=1)$ for the Vlasov-Navier-Stokes system on $\mathbb{T}^d \times \mathbb{R}^d$ (and $\mathbb{R}^d\times\mathbb{R}^d$) using a Fourier space method ...
Dechicha, Dahmane
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