Results 41 to 50 of about 1,295,553 (207)
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
Global Sobolev Solutions of Quasilinear Parabolic Equations
Differential and Integral Equations, 1998 Global existence, uniqueness and a priori estimates of solutions to the initial and homogeneous Dirichlet boundary value problem for the equation \[ u_t - \sum _{i,j=1}^{n} a_{i,j}(\nabla u) \partial _i \partial _j u = f(x,t)\quad\text{on} \Omega \times (0,T) \] is proved in Sobolev spaces \(X_{s+2}(T)\) for sufficiently large \(s.\) Here \[ X_m(T) = \{
McLeod, Kevin, Milani, Albert
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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
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Abstract and Applied Analysis, 2014 We investigate an initial-boundary value problem for a quasilinear parabolic equation with inner absorption and nonlinear Neumann boundary condition. We establish, respectively, the conditions on nonlinearity to guarantee that u(x,t) exists globally or ...
Zhong Bo Fang, Yan Chai
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On an Inverse Problem for Quasilinear Parabolic Equations
Tokyo Journal of Mathematics, 1998 Under specific conditions the problem of identifying the parameter function \(a(x,u)\) in the initial-boundary value problem \[ u_t- a(x,u) u_{xx}= 0,\quad ...
openaire +3 more sources
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
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Existence of extremal periodic solutions for quasilinear parabolic equations
Abstract and Applied Analysis, 1997 In this paper we consider a quasilinear parabolic equation in a bounded domain under periodic Dirichlet boundary conditions. Our main goal is to prove the existence of extremal solutions among all solutions lying in a sector formed by appropriately ...
Siegfried Carl
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Simulation of Heat Waves in An Nonlinear Anisotropic Space
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2010 For the first time analytical solution of the problem with boundary conditions in the non-linear anisotropic space for the quasilinear parabolic heat equation where heat conductivity tensor's components are temperature functions is obtained.
E. L. Kuznetcova +2 more
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International Journal of Differential Equations, Volume 2026, Issue 1, 2026.In this study, we considered a singular perturbation problem of two‐dimensional, linear elliptic partial differential equations having both positive and negative shifts in both directions of the reaction terms, whose solution exhibits characteristic boundary layers.
Vivek K. +2 more
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IEEE Access, 2020 We investigate the initial boundary value problem for the Gamma equation transformed from the nonlinear Black-Scholes equation for pricing option to a quasilinear parabolic equation of second derivative.
Le Minh Hieu +2 more
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