Results 21 to 30 of about 240 (185)
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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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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The Global Dynamics of Discrete Semilinear Parabolic Equations [PDF]
SIAM Journal on Numerical Analysis, 1993 The authors consider a semilinear parabolic initial value problem possessing absorbing sets. The dynamical properties of various fininte difference and finite element schemes are analysed. The existence of absorbing sets, Lyapunov functions and attractors for the approximation are studied. The authors construct implicit schemes for which absorbing sets
Elliott, C. M., Stuart, A. M.
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Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.ABSTRACT In this work, we present an extension of the semi‐discrete Lagrangian‐Eulerian numerical scheme for diffusive‐dispersive conservation law problems, including a jump discontinuous flux function. As in the one‐dimensional scalar hyperbolic case, the no‐flow curves also organize the geometry of the method.
Eduardo Abreu +2 more
wiley +1 more source
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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Well‐Posedness and Analyticity of Solutions to the Stationary MHD Equations
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 8, August 2026.ABSTRACT We consider the stationary problem of the MHD equations in R3$\mathbb {R}^3$. The aim of this article is to show existence, uniqueness, regularity, and analyticity of solutions in the scaling invariant homogeneous Besov space Ḃp,q−1+3/p$\dot{B}^{-1 + 3/p}_{p, q}$ for 1⩽p<3$1 \leqslant p < 3$ and 1⩽q⩽∞$1 \leqslant q \leqslant \infty$.
Kento Sube
wiley +1 more source
Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation
Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 11775-11793, 30 July 2026.ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh +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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