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1.
Journal of Thermal Analysis and Calorimetry - The present work deals with the synthesis of eight mixed complex combinations of Pd(II) with different α-amino acids. In order to prove the... 相似文献
2.
We obtain a family of nonlinear maximum principles for linear dissipative nonlocal operators, that are general, robust, and versatile. We use these nonlinear bounds to provide transparent proofs of global regularity for critical SQG and critical d-dimensional Burgers equations. In addition we give applications of the nonlinear maximum principle to the global regularity of a slightly dissipative anti-symmetric perturbation of 2D incompressible Euler equations and generalized fractional dissipative 2D Boussinesq equations. 相似文献
3.
Susan Friedlander Nata?a Pavlovi? Vlad Vicol 《Communications in Mathematical Physics》2009,292(3):797-810
We prove that linear instability implies non-linear instability in the energy norm for the critically dissipative quasi-geostrophic equation. 相似文献
4.
Peter?ConstantinEmail authorView authors OrcID profile Tarek?Elgindi Mihaela?Ignatova Vlad?Vicol 《Journal of Nonlinear Science》2017,27(1):197-211
We consider a model of electroconvection motivated by studies of the motion of a two-dimensional annular suspended smectic film under the influence of an electric potential maintained at the boundary by two electrodes. We prove that this electroconvection model has global in time unique smooth solutions. 相似文献
5.
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. We obtain an explicit novel lower bound on the radius of analyticity of the solutions
that does not vanish as t → ∞, and which is independent of the Rivlin–Ericksen material parameter α. Applications to the damped incompressible Euler equations are also given. 相似文献
6.
Peter Constantin Andrei Tarfulea Vlad Vicol 《Archive for Rational Mechanics and Analysis》2014,212(3):875-903
We prove the absence of anomalous dissipation of energy for long time averaged solutions of the forced critical surface quasi-geostrophic equation in two spatial dimensions. 相似文献
7.
We consider the Prandtl boundary layer equations on the half plane, with initial datum that lies in a weighted H1 space with respect to the normal variable, and is real-analytic with respect to the tangential variable. The boundary trace of the horizontal Euler flow is taken to be a constant. We prove that if the Prandtl datum lies within \({\varepsilon}\) of a stable profile, then the unique solution of the Cauchy problem can be extended at least up to time \({T_{\varepsilon} \geqq {\rm exp}(\varepsilon^{-1} / {\rm log}(\varepsilon^{-1}))}\). 相似文献
8.
Igor Kukavica Roger Temam Vlad Vicol Mohammed Ziane 《Comptes Rendus Mathematique》2010,348(11-12):639-645
We address the question of well-posedness in spaces of analytic functions for the hydrostatic incompressible Euler equations (inviscid primitive equations) on domains with boundary, with a novel side-boundary condition. 相似文献
9.
We address the problem of local uniqueness of weak solutions to the Navier–Stokes system, with the initial datum in a subspace
of . The existence and uniqueness of local mild solutions has been proven by Koch and Tataru (Adv Math 157:22–35, 2001). We present
a necessary and sufficient condition for two weak solutions to evolve from the same initial datum, and for weak solutions
to be mild.
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10.