Results 61 to 70 of about 1,312 (223)
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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Linearly convergent nonoverlapping domain decomposition methods for quasilinear parabolic equations
, 2023 We prove linear convergence for a new family of modified Dirichlet–Neumann methods applied to quasilinear parabolic equations, as well as the convergence of the Robin–Robin method.
Engström, Emil, Hansen, Eskil
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Abstract quasilinear parabolic equations
Mathematische Annalen, 1984 The author deals with an abstract quasilinear parabolic problem \(u'(t)=A(t,u(t))u(t)+f(t,u(t)), t>0\), \(u(0)=u_ 0\) in a Banach space X. His theorems on existence and uniqueness are such that a concrete quasilinear parabolic problem can be attacked without imposing growth conditions on the coefficients.
openaire +2 more sources
Regularizations of forward‐backward parabolic PDEs
GAMM-Mitteilungen, Volume 47, Issue 4, November 2024.Abstract Forward‐backward parabolic equations have been studied since the 1980s, but a mathematically rigorous picture is still far from being established. As quite a number of new papers have appeared recently, we review in this work the current state of the art.
Carina Geldhauser
wiley +1 more source
Codimension two mean curvature flow of entire graphs
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract We consider the graphical mean curvature flow of maps f:Rm→Rn$\mathbf {f}:{\mathbb {R}^{m}}\rightarrow {\mathbb {R}^{n}}$, m⩾2$m\geqslant 2$, and derive estimates on the growth rates of the evolved graphs, based on a new version of the maximum principle for properly immersed submanifolds that extends the well‐known maximum principle of Ecker ...
Andreas Savas Halilaj, Knut Smoczyk
wiley +1 more source
A Quasilinear Parabolic Equation with Quadratic Growth of the Gradient modeling Incomplete Financial Markets [PDF]
We consider a quasilinear parabolic equation with quadratic gradient terms. It arises in the modelling of an optimal portfolio which maximizes the expected utility from terminal wealth in incomplete markets consisting of risky assets and non-tradable ...
Ansgar Jüngel, Bertram Düring
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Null controllability of quasilinear parabolic equations with gradient dependent coefficients
, 2023 The aim of this paper is to study the null controllability of a class of quasilinear parabolic equations. In a first step we prove that the associated linear parabolic equations with non-constant diffusion coefficients are approximately null controllable
Cindea, Nicolae, Lacour, Geoffrey
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Journal of Geophysical Research: Atmospheres, Volume 129, Issue 18, 28 September 2024.Abstract We present the first analysis of frame‐indifferent (objective) fluxes and material vortices in Large Eddy Simulations of atmospheric boundary layer turbulence. We extract rotating fluid features that maintain structural coherence over time for near‐neutral, transitional, and convective boundary layers.
Nikolas Aksamit +2 more
wiley +1 more source
Well-posedness and stationary solutions
, 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 ...
Grinfeld, Michael, Burns, Martin
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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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