Results 31 to 40 of about 242 (185)
Asymptotic behavior for parabolic equations with interior degeneracy
Examples and Counterexamples, 2022 The long time behavior of a class of degenerate parabolic equations in a bounded domain will be considered in the sense that the nonnegative diffusion coefficient a(x)is allowed to vanish in a set of positive measure in the interior of the domain.
María Astudillo +3 more
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Convergence of quasilinear parabolic equations to semilinear equations
Discrete and Continuous Dynamical Systems - B, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bezerra, Flank D. M. +2 more
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Model Adjustments and Solver Construction for Galvanic Cells Based on NPP‐Systems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Electroplated coatings on metallic substrates have a wide range of practical applications ranging from corrosion or wear protection on parts, good conductivity on electrical contacts to coating systems for bipolar plates in fuel cells. The large field of applications in electrochemical engineering motivates several questions for scientific ...
Stephan Daniel Schwöbel +2 more
wiley +1 more source
Blowup of solutions of semilinear parabolic equations
Journal of Mathematical Analysis and Applications, 1988 Consider the blow-up behavior of solutions of a semilinear parabolic equation \[ (1)\quad u_ t+uu_ x-u_{xx}=f(u)\quad (-a0)\), \(u(x,0)=\phi (x ...
Friedman, Avner, Lacey, Andrew A
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Fractal Dimension of a Random Invariant Set and Applications
Journal of Applied Mathematics, 2013 We prove an abstract result on random invariant sets of finite fractal dimension. Then this result is applied to a stochastic semilinear degenerate parabolic equation and an upper bound is obtained for the random attractors of fractal dimension.
Gang Wang, Yanbin Tang
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Modeling Heavy Metal Sorption and Interaction in a Multispecies Biofilm
Mathematics, 2019 A mathematical model able to simulate the physical, chemical and biological interactions prevailing in multispecies biofilms in the presence of a toxic heavy metal is presented.
Berardino D’Acunto +3 more
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Input Reconstruction by Feedback Control for the Schlögl and FitzHugh–Nagumo Equations
International Journal of Applied Mathematics and Computer Science, 2020 Dynamical reconstruction of unknown time-varying controls from inexact measurements of the state function is investigated for a semilinear parabolic equation with memory.
Maksimov Vyacheslav, Tröltzsch Fredi
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Quantitative maximal L2$L^2$‐regularity for viscous Hamilton–Jacobi PDEs in 2D and Mean Field Games
Bulletin of the London Mathematical Society, Volume 58, Issue 11, November 2026.Abstract We discuss quantitative Calderón–Zygmund estimates in W2,2$W^{2,2}$ for 2D viscous Hamilton–Jacobi equations with natural growth in the gradient. We apply the result to obtain the existence of classical solutions for stationary second‐order mean field games systems in 2D with (defocusing) coupling behaving like mα$m^\alpha$ for any α>0$\alpha >
Alessandro Goffi
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International Journal of Adaptive Control and Signal Processing, Volume 40, Issue 9, Page 1932-1944, September 2026.This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir +2 more
wiley +1 more source
A singular perturbation result for a class of periodic-parabolic BVPs
Open MathematicsIn this article, we obtain a very sharp version of some singular perturbation results going back to Dancer and Hess [Behaviour of a semilinear periodic-parabolic problem when a parameter is small, Lecture Notes in Mathematics, Vol. 1450, Springer-Verlag,
Cano-Casanova Santiago +2 more
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