Results 51 to 60 of about 242 (185)

Strong well‐posedness for a stochastic fluid‐rigid body system via stochastic maximal regularity

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We develop a rigorous analytical framework for a coupled stochastic fluid‐rigid body system in R3$\mathbb {R}^3$. The model describes the motion of a rigid ball immersed in an incompressible Newtonian fluid subjected to both additive noise in the fluid and body equations and transport‐type noise in the fluid equation. We establish local strong
Felix Brandt, Arnab Roy
wiley   +1 more source

Optimal Control of Semilinear Parabolic Equations by BV-Functions [PDF]

SIAM Journal on Control and Optimization, 2017
The work of the first author was supported by Spanish Ministerio de Economía y Competitividad under project MTM2014-57531-P. The work of the third author was supported by the Austrian Science Fund (FWF) under grant SFB F32 (SFB “Mathematical Optimization and Applications in Biomedical Sciences”).
Eduardo Casas, Florian Kruse, Karl Kunisch   +2 more
openaire   +3 more sources

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, Tang Quoc Bao, Nguyen Van Thanh   +2 more
doaj  

Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane, Ahmad Z. Fino, Berikbol T. Torebek, Zineb Sabbagh   +3 more
wiley   +1 more source

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
openaire   +4 more sources

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

A priori estimates and large population limits for some nonsymmetric Nash systems with semimonotonicity

Communications on Pure and Applied Mathematics, Volume 79, Issue 1, Page 3-88, January 2026.
Abstract We address the problem of regularity of solutions ui(t,x1,…,xN)$u^i(t, x^1, \ldots, x^N)$ to a family of semilinear parabolic systems of N$N$ equations, which describe closed‐loop equilibria of some N$N$‐player differential games with Lagrangian having quadratic behaviour in the velocity variable, running costs fi(x)$f^i(x)$ and final costs gi(
Marco Cirant, Davide Francesco Redaelli
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  

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, Matthias Hieber, Tarek Zöchling   +2 more
wiley   +1 more source

Switched Observer Design for Reaction–Advection–Diffusion Systems: An LMI‐SOS Approach with Adaptive Sensor Configuration

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, Gustavo Pérez, Carlos Raymundo   +2 more
wiley   +1 more source