Results 41 to 50 of about 12,475 (200)
Well-posedness and stationary solutions [PDF]
, 2011 In this paper we prove existence and uniqueness of variational inequality solutions for a bistable quasilinear parabolic equation arising in the theory of solid-solid phase transitions and discuss its stationary solutions, which can be ...
Burns, Martin, Grinfeld, Michael
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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
Determination of a diffusion coefficient in a quasilinear parabolic equation
Open Mathematics, 2017 This paper investigates the inverse problem of finding the time-dependent diffusion coefficient in a quasilinear parabolic equation with the nonlocal boundary and integral overdetermination conditions.
Kanca Fatma
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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
wiley +1 more source
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
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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Mathematical study of a parabolic system describing the evolution of the solar magnetic field [PDF]
, 2004 We study a system of two strongly coupled parabolic equations describing a solar dynamo wave. We investigate the existence and uniqueness of a classical solution and the existence of a periodic in time solution.
Gianni, Roberto, Mannucci, Paola
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