Results 41 to 50 of about 12,988 (199)
Existence of a local strong solution to the beam–polymeric fluid interaction system
Mathematische Nachrichten, Volume 298, Issue 7, Page 2327-2379, July 2025.Abstract We construct a unique local strong solution to the finitely extensible nonlinear elastic (FENE) dumbbell model of Warner‐type for an incompressible polymer fluid (described by the Navier–Stokes–Fokker–Planck equations) interacting with a flexible elastic shell.
Dominic Breit, Prince Romeo Mensah
wiley +1 more source
Rate of Convergence of Implicit Approximations for stochastic evolution equations [PDF]
, 2006 Stochastic evolution equations in Banach spaces with unbounded nonlinear drift and diffusion operators are considered. Under some regularity condition assumed for the solution, the rate of convergence of implicit Euler approximations is estimated under ...
Gyöngy, Istvan, Millet, Annie
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Quasilinear Differential Constraints for Parabolic Systems of Jordan‐Block Type
Studies in Applied Mathematics, Volume 154, Issue 6, June 2025.ABSTRACT We prove that linear degeneracy is a necessary conditions for systems in Jordan‐block form to admit a compatible quasilinear differential constraint. Such condition is also sufficient for 2×2$2\times 2$ systems and turns out to be equivalent to the Hamiltonian property.
Alessandra Rizzo, Pierandrea Vergallo
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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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Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces
, 2015 Convergence results are shown for full discretizations of quasilinear parabolic partial differential equations on evolving surfaces. As a semidiscretization in space the evolving surface finite element method is considered, using a regularity result of a
Adams +40 more
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Stability of solutions of quasilinear parabolic equations
Journal of Mathematical Analysis and Applications, 2005 17 ...
COCLITE, Giuseppe Maria, HOLDEN H.
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Quasilinear generalized parabolic Anderson model equation [PDF]
Stochastics and Partial Differential Equations: Analysis and Computations, 2018 We present in this note a local in time well-posedness result for the singular $2$-dimensional quasilinear generalized parabolic Anderson model equation $$ \partial_t u - a(u) u = g(u) $$ The key idea of our approach is a simple transformation of the equation which allows to treat the problem as a semilinear problem.
Bailleul, I. +2 more
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Hermite solution for a new fractional inverse differential problem
Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 3811-3824, February 2025.Mathematics, mathematical modeling of real systems, and mathematical and computer methodologies aimed at the qualitative and quantitative study of real physical systems interact in a nontrivial way. This work aims to examine a new class of inverse problems for a fractional partial differential equation with order fractional 0<ρ≤1$$ 0<\rho \le 1 ...
Mohammed Elamine Beroudj +2 more
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
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Global solutions to semilinear parabolic equations driven by mixed local–nonlocal operators
Bulletin of the London Mathematical Society, Volume 57, Issue 1, Page 265-284, January 2025.Abstract We are concerned with the Cauchy problem for the semilinear parabolic equation driven by the mixed local–nonlocal operator L=−Δ+(−Δ)s$\mathcal {L}= -\Delta +(-\Delta)^s$, with a power‐like source term. We show that the so‐called Fujita phenomenon holds, and the critical value is exactly the same as for the fractional Laplacian.
Stefano Biagi +2 more
wiley +1 more source