Results 31 to 40 of about 1,312 (223)
On the solvability of some parabolic equations involving nonlinear boundary conditions with L^{1} data [PDF]
Opuscula MathematicaWe analyze the existence of solutions for a class of quasilinear parabolic equations with critical growth nonlinearities, nonlinear boundary conditions, and \(L^1\) data.
Laila Taourirte +2 more
doaj +1 more source
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
Influence of Competitive C–P Segregation on Austenite Grain Growth in Iron Alloys
steel research international, Volume 97, Issue 3, Page 1432-1443, March 2026.This study investigates how carbon influences phosphorus‐induced solute drag effects during isothermal annealing of austenite grain growth in Fe–C–P alloys. Using in situ high‐temperature laser scanning confocal microscopy and density functional theory simulations, it demonstrates that carbon above a critical temperature significantly reduces P ...
Maximilian Kern +4 more
wiley +1 more source
Boundedness of solutions to quasilinear parabolic equations
, 2016 We prove boundedness of the weak solutions to the Cauchy–Dirichlet problem for quasilinear parabolic equations whose prototype is the parabolic m-Laplacian. The nonlinear terms satisfy sub-controlled growth conditions with respect to the unknown function
Palagachev, D. K. +2 more
core +1 more source
Advances in Astronomy, Volume 2026, Issue 1, 2026.This paper investigates the degradation of pointing accuracy in the Kunming 40‐m radio telescope due to long‐term equipment aging and environmental disturbances. Conventional linear pointing models are constrained by their linear modeling framework, making it difficult to accurately represent the nonlinear errors induced by temperature, wind speed, and
Yao He +3 more
wiley +1 more source
The effects of heat exchange and fluid production on the ignition of a porous solid
, 2008 In this paper we study a system of nonlinear parabolic equations representing the evolution of small perturbations in a modeldescribing the combustion of a porous solid.
McIntosh, A.C. +8 more
core +1 more source
Relative entropy in diffusive relaxation [PDF]
, 2012 We establish convergence in the diffusive limit from entropy weak solutions of the equations of compressible gas dynamics with friction to the porous media equation away from vacuum.
Tzavaras, Athanasios E. +1 more
core +1 more source
On qualitative behavior of multiple solutions of quasilinear parabolic functional equations
Electronic Journal of Qualitative Theory of Differential Equations, 2020 We shall consider weak solutions of initial-boundary value problems for semilinear and nonlinear parabolic differential equations for $t\in (0,\infty )$ with certain nonlocal terms.
László Simon
doaj +1 more source
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.We derive quantitative convergence rates for nonlocal‐to‐local limits in a class of multispecies interaction systems with finite‐range kernels. The nonlocal model consists of coupled aggregation–diffusion equations in which intra‐ and interspecies interactions are mediated by short‐range convolution operators.
S. C. Oukouomi Noutchie, John Venetis
wiley +1 more source
Systems of Quasilinear Parabolic Equations with Discontinuous Coefficients and Continuous Delays
Advances in Difference Equations, 2011 This paper is concerned with a weakly coupled system of quasilinear parabolic equations where the coefficients are allowed to be discontinuous and the reaction functions may depend on continuous delays.
Tan Qi-Jian
doaj +2 more sources