Results 51 to 60 of about 12,485 (201)
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
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
doaj +1 more source
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
Nonlinear Parabolic Equations arising in Mathematical Finance
, 2017 This survey paper is focused on qualitative and numerical analyses of fully nonlinear partial differential equations of parabolic type arising in financial mathematics.
A. Tourin +39 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
Existence of solutions for quasilinear parabolic equations with nonlocal boundary conditions
Electronic Journal of Differential Equations, 2011 We prove the existence of a generalized solution a quasilinear parabolic equation with nonlocal boundary conditions, using the Faedo-Galerkin approximation.
Baili Chen
doaj
On the Cauchy Problem of a Quasilinear Degenerate Parabolic Equation
Discrete Dynamics in Nature and Society, 2009 By Oleinik's line method, we study the existence and the uniqueness of the classical solution of the Cauchy problem for the following equation in [0,T]×R2: ∂xxu+u∂yu−∂tu=f(⋅,u), provided that T is suitable small.
Zongqi Liang, Huashui Zhan
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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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Large deviations for quasilinear parabolic stochastic partial differential equations
, 2019 In this paper, we establish the Freidlin-Wentzell's large deviations for quasilinear parabolic stochastic partial differential equations with multiplicative noise, which are neither monotone nor locally monotone.
Dong, Zhao +2 more
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Resonance and Quasilinear Parabolic Partial Differential Equations
Journal of Differential Equations, 1993 For a certain quasilinear parabolic equation, the authors prove the existence of a weak periodic solution in an adequate Hilbert space under both resonance and nonresonance conditions. The results are obtained by using a Galerkin-type technique.
Lefton, L.E., Shapiro, V.L.
openaire +2 more sources