Results 41 to 50 of about 1,264,456 (207)
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
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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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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
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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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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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Interior derivative blow-up for quasilinear parabolic equations [PDF]
, 1995 We give examples of bounded solutions whose gradient blow up in a finite time but it stays bounded on the boundary for a class of quasilinear parabolic equations with zero boundary data.
Giga, Y.
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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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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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Critical Fujita exponents for a class of quasilinear coupled parabolic equations
Electronic Journal of Differential EquationsThis article concerns the critical Fujita exponents for a class of quasilinear coupled parabolic equations. Using energy estimates, suitable supersolutions, and the comparison principle, the blow-up theorem of Fujita type is established, and the ...
Yuanyuan Nie +3 more
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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
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