Results 51 to 60 of about 953 (219)
Mathematics, 2022 The paper studies a degenerate nonlinear parabolic equation containing a convective term and a source (reaction) term. It considers the construction of approximate solutions to this equation with a specified law of diffusion wave motion, the existence of
Alexander Kazakov, Lev Spevak
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Studies in Applied Mathematics, Volume 155, Issue 3, September 2025.ABSTRACT We consider reaction–diffusion systems with multiplicative noise on a spatial domain of dimension two or higher. The noise process is white in time, colored in space, and invariant under translations. Inspired by previous works on the real line, we establish the multidimensional stability of planar waves on a cylindrical domain on timescales ...
M. van den Bosch, H. J. Hupkes
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Formación de singularidades en algunos problemas de reacción-difusión no lineales [PDF]
, 2007 El nexo común entre los trabajos que integran la siguiente Memoria es el estudio del fenómeno de explosión en ciertos problemas de evolución de tipo parabólico.
Pérez Pérez, María Teresa
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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
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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
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On the Long-time Behaviour of the Quasilinear Parabolic Equation
, 2010 We study the long-time behaviour of the quasilinear parabolic equation involving weighted p-Laplacian operator. We prove that the multi-valued semi flow generated by this equation posseses a global attractor in L-2(R-n)
Khanmamedov, A. Kh., Geredeli, P. G.
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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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Numerical identification of a coefficient in a parabolic quasilinear equation [PDF]
, 1985 summary:In the article the following optimal control problem is studied: to determine a certain coefficient in a quasilinear partial differential equation of parabolic type so that the solution of a boundary value problem for this equation would minimise
Neumann, Jan
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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
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Hyperbolic–parabolic singular perturbation for quasilinear equations of Kirchhoff type
, 2007 We consider a hyperbolic–parabolic singular perturbation problem for a quasilinear equation of Kirchhoff type, and obtain parameter-dependent time decay estimates of the difference between the solutions of a quasilinear dissipative hyperbolic equation of
Taeko Yamazaki +3 more
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