Global solvability and global hypoellipticity in Gevrey classes for vector fields on the torus
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.11.022
Abstract: Abstract Let L = ∂ / ∂ t + ∑ j = 1 N ( a j + i b j ) ( t ) ∂ / ∂ x j be a vector field defined… read more here.
Keywords: solvability global; global solvability; global hypoellipticity; hypoellipticity gevrey ... See more keywords
On Global Solvability of One-Dimensional Quasilinear Wave Equations
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DOI: 10.1134/s1995080220120422
Abstract: The paper concerns global solvability of initial value problem for one class of hyperbolic quasilinear second order equations with two independent variables, which have a rather wide range of applications. Besides existence and uniqueness of… read more here.
Keywords: dimensional quasilinear; solvability; quasilinear wave; solvability one ... See more keywords
On the three dimensional Kelvin-Voigt fluids: global solvability, exponential stability and exact controllability of Galerkin approximations
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DOI: 10.3934/eect.2020007
Abstract: In this work, we consider the three-dimensional viscoelastic fluid flow equations, arising from the motion of Kelvin-Voigt fluids in bounded and unbounded domains. We investigate the global solvability results, asymptotic behavior and also address some… read more here.
Keywords: galerkin; kelvin voigt; solvability; three dimensional ... See more keywords