Results 41 to 50 of about 240 (185)
Dynamic boundary conditions with noise for an energy balance model coupled to geophysical flows
Mathematische Nachrichten, Volume 299, Issue 1, Page 60-84, January 2026.Abstract This paper investigates a Sellers‐type energy balance model coupled to the primitive equations by a dynamic boundary condition with and without noise on the boundary. It is shown that this system is globally strongly well‐posed both in the deterministic setting for arbitrary large data in W2(1−1/p),p$W^{2(1-\nicefrac {1}{p}),p}$ for p∈[2,∞)$p \
Gianmarco Del Sarto +2 more
wiley +1 more source
IET Control Theory &Applications, Volume 20, Issue 1, January/December 2026.A switched observer design methodology for semilinear parabolic PDEs is developed using adaptive sensor configurations and LMI‐based synthesis conditions. The approach guarantees exponential stability through polynomial parameterization and sum‐of‐squares programming, enabling computationally tractable observer design for infinite‐dimensional systems ...
Ivan Francisco Yupanqui Tello +2 more
wiley +1 more source
Regularity of random attractors for stochastic semilinear degenerate parabolic equations
Electronic Journal of Differential Equations, 2012 We consider the stochastic semilinear degenerate parabolic equation $$ du+[- operatorname{div}(sigma(x)abla u) + f(u) + lambda u]dt = gdt+ sum_{j=1}^{m}h_j{domega_j} $$ in a bounded domain $mathcal{O}subset mathbb {R}^N$, with the nonlinearity ...
Cung The Anh +2 more
doaj
On weak solutions of semilinear hyperbolic‐parabolic equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper we prove the existence and uniqueness of weak solutions of the mixed problem for the nonlinear hyperbolic‐parabolic equation urn:x-wiley:01611712:media:ijmm289648:ijmm289648-math-0001 with null Dirichlet boundary conditions and zero initial data, where F(s) is a continuous function such that sF(s) ≥ 0, ∀s ∈ R and {A(t); t ≥ 0} is a ...
openaire +2 more sources
Stabilization by Sparse Controls for a Class of Semilinear Parabolic Equations [PDF]
SIAM Journal on Control and Optimization, 2017 Stabilization problems for parabolic equations with polynomial nonlinearities are investigated in the context of an optimal control formulation with a sparsity enhancing cost functional. This formulation allows that the optimal control completely shuts down once the trajectory is sufficiently close to a stable steady state.
Casas Rentería, Eduardo, Kunisch, Karl
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Stability and Reproduction Dynamics in Fractional‐Order Reaction‐Diffusion Models of HIV/AIDS
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This research focuses on introducing fractional‐order derivatives to an HIV/AIDS mathematical model in order to provide a good representation of disease dynamics. The central point of this work is evaluating the stability of equilibrium points through the use of fractional calculus with an important attention to the role of the basic reproductive ...
Khelifa Bouaziz +6 more
wiley +1 more source
Blow-up of solutions to a viscoelastic parabolic equation with positive initial energy
Boundary Value Problems, 2017 In this paper, a semilinear viscoelastic parabolic equation with nonlinear boundary flux is studied. Due to the comparison principle being invalid, potential well method and concavity argument are used to prove that the solutions blow up in finite time ...
Haixia Li, Yuzhu Han
doaj +1 more source
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we investigate the dynamics of higher‐order solutions for a class of damped wave equations posed in Rn and driven by a nonlocal cubic convolution source of Hartree type. The model incorporates a higher order Laplacian of order σ, spatially dependent density functions, and frictional damping mechanisms.
Khaled Zennir +4 more
wiley +1 more source
Construction of entire solutions for semilinear parabolic equations
Electronic Journal of Differential Equations, 2008 Entire solutions of parabolic equations (those which are defined for all time) are typically rather rare. For example, the heat equation has exactly one entire solution - the trivial solution.
Michael Robinson
doaj
Semilinear parabolic equations with prescribed energy [PDF]
Rendiconti del Circolo Matematico di Palermo, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Bei, Yin, Hong-Ming
openaire +1 more source