Galerkin/Runge-Kutta discretizations for semilinear parabolic equations [PDF]
A new class of fully discrete Galerkin/Runge-Kutta methods is constructed and analyzed for semilinear parabolic initial boundary value problems. Unlike any classical counterpart, this class offers arbitrarily high, optimal order convergence.
Keeling, Stephen L.
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Determining Projections and Functionals for Weak Solutions of the Navier-Stokes Equations
, 2010 In this paper we prove that an operator which projects weak solutions of the two- or three-dimensional Navier-Stokes equations onto a finite-dimensional space is determining if it annihilates the difference of two "nearby" weak solutions asymptotically ...
Holst, Michael, Titi, Edriss
core
Dynamics of Fractional Delayed Reaction-Diffusion Equations. [PDF]
Entropy (Basel), 2023 Liu L, Nieto JJ.
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A mixed virtual element method for Biot's consolidation model. [PDF]
Comput Math Appl, 2022 Wang F, Cai M, Wang G, Zeng Y.
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Weakly singular Gronwall inequalities and applications to fractional differential equations
Journal of Mathematical Analysis and Applications, 2019 J. Webb
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Effective Dynamics of Extended Fermi Gases in the High-Density Regime. [PDF]
Commun Math Phys, 2023 Fresta L, Porta M, Schlein B.
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Uniform Error Estimates of the Finite Element Method for the Navier-Stokes Equations in R2 with L2 Initial Data. [PDF]
Entropy (Basel), 2023 Ren S, Wang K, Feng X.
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Study of Results of Katugampola Fractional Derivative and Chebyshev Inequailities. [PDF]
Int J Appl Comput Math, 2022 Nazeer N, Asjad MI, Azam MK, Akgül A.
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An impulsive nonlinear singular version of the Gronwall-Bihari inequality
Journal of Inequalities and Applications, 2006 We find bounds for a Gronwall-Bihari type inequality for piecewise continuous functions. Unlike works in the prior literature, here we consider inequalities involving singular kernels in addition to functions with delays.
Tatar Nasser-Eddine
doaj
On the Strong Subregularity of the Optimality Mapping in an Optimal Control Problem with Pointwise Inequality Control Constraints. [PDF]
Appl Math Optim, 2023 Osmolovskii NP, Veliov VM.
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