Results 11 to 20 of about 6,399 (264)
A regularized gradient flow for the p-elastic energy
Advances in Nonlinear Analysis, 2022 We prove long-time existence for the negative L2{L}^{2}-gradient flow of the p-elastic energy, p≥2p\ge 2, with an additive positive multiple of the length of the curve.
Blatt Simon +2 more
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Frontiers in Physics, 2021 Solitons are coherent structures that describe the nonlinear evolution of wave localizations in hydrodynamics, optics, plasma and Bose-Einstein condensates.
Amin Chabchoub +12 more
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DEGENERATE DISTRIBUTED CONTROL SYSTEMS WITH FRACTIONAL TIME DERIVATIVE
Ural Mathematical Journal, 2016 The existence of a unique strong solution for the Cauchy problem to semilinear nondegenerate fractional differential equation and for the generalized Showalter–Sidorov problem to semilinear fractional differential equation with degenerate operator at the
Marina V. Plekhanova
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Two-Scale Homogenization of Implicit Degenerate Evolution Equations
Journal of Mathematical Analysis and Applications, 1997 In the framework of two-scale convergence for homogenization of partial differential equations with periodic coefficients, the authors show how the two-scale method can also be applied to evolution equations, including degenerate and implicit equations, where the coefficients are \(\varepsilon\)-periodic in the space variable.
Clark, G.W., Packer, L.A.
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Stochastic models associated to a Nonlocal Porous Medium Equation
Modern Stochastics: Theory and Applications, 2018 The nonlocal porous medium equation considered in this paper is a degenerate nonlinear evolution equation involving a space pseudo-differential operator of fractional order.
Alessandro De Gregorio
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Multi-Term Fractional Degenerate Evolution Equations and Optimal Control Problems
Mathematics, 2020 A theorem on unique solvability in the sense of the strong solutions is proved for a class of degenerate multi-term fractional equations in Banach spaces.
Marina Plekhanova, Guzel Baybulatova
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On a nonlinear degenerate evolution equation with strong damping
International Journal of Mathematics and Mathematical Sciences, 1992 In this paper we consider the nonlinear degenerate evolution equation with strong damping,(*) {K(x,t)utt−Δu−Δut+F(u)=0 in Q=Ω×]0,T[u(x,0)=u0, (ku′)(x,0)=0 in Ωu(x,t)=0 on ∑=Γ×]0,T[where K is a function with K(x,t)≥0, K(x,0)=0 ...
Jorge Ferreira +1 more
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Early evolution of fully convective stars in scalar–tensor gravity
European Physical Journal C: Particles and Fields, 2023 In this work, the early evolution of low-mass fully convective stars is studied in the context of DHOST (degenerate higher order scalar-tensor) theories of gravity.
Débora Aguiar Gomes, Aneta Wojnar
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Evolution Equations for Non-Degenerate 2-Forms [PDF]
International Mathematics Research Notices, 2019 AbstractIn this paper we introduce several geometric flows that evolve primarily non-degenerate 2-forms, with the motivation to develop a geometric flow to approach the existence of the symplectic forms on a compact manifold that supports a non-degenerate 2-form.
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Regularity for degenerate evolution equations with strong absorption [PDF]
Journal of Differential Equations, 2018 In this manuscript, we study geometric regularity estimates for degenerate parabolic equations of $p$-Laplacian type ($2 \leq p< \infty$) under a strong absorption condition: $ _p u - \frac{\partial u}{\partial t} = _0 u_{+}^q \quad \mbox{in} \quad _T \defeq \times (0, T), $ where $0 \leq q < 1$ and $ _0$ is a function bounded away from ...
João Vitor da Silva +2 more
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