Results 71 to 80 of about 12,485 (201)

Understanding Coherent Turbulence and the Roll‐Cell Transition With Lagrangian Coherent Structures and Frame‐Indifferent Fluxes

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, Marwan Katurji, Jiawei Zhang   +2 more
wiley   +1 more source

Blow-Up Analysis for a Quasilinear Degenerate Parabolic Equation with Strongly Nonlinear Source

Abstract and Applied Analysis, 2012
We investigate the blow-up properties of the positive solution of the Cauchy problem for a quasilinear degenerate parabolic equation with strongly nonlinear source ut=div(|∇um|p−2∇ul)+uq,  (x,t)∈RN×(0,T), where N≥1, p>2 , and m, l,  q>1, and give a ...
Pan Zheng, Chunlai Mu, Dengming Liu, Xianzhong Yao, Shouming Zhou   +4 more
doaj   +1 more source

Expanding solutions of quasilinear parabolic equations

Communications on Pure and Applied Analysis, 2021
By using the theory of maximal $L^{q}$-regularity and methods of singular analysis, we show a Taylor's type expansion--with respect to the geodesic distance around an arbitrary point--for solutions of quasilinear parabolic equations on closed manifolds. The powers of the expansion are determined explicitly by the local geometry, whose reflection to the
openaire   +4 more sources

Maximum principle for the weak solutions of the Cauchy problem for the fourth‐order hyperbolic equations

Proceedings in Applied Mathematics and Mechanics, Volume 24, Issue 1, June 2024.
Abstract We investigate the maximum principle for the weak solutions to the Cauchy problem for the hyperbolic fourth‐order linear equations with constant complex coefficients in the plane bounded domain.
Kateryna Buryachenko
wiley   +1 more source

Existence of stable periodic solutions for quasilinear parabolic problems in the presence of well-ordered lower and upper-solutions

Electronic Journal of Differential Equations, 2002
We present existence and stability results for periodic solutions of quasilinear parabolic equation related to Leray-Lions's type operators. To prove existence and localization, we use the penalty method; while for stability we use an approximation ...
Abderrahmane El Hachimi, Abdelilah Lamrani Alaoui   +1 more
doaj  

Potential estimates and quasilinear parabolic equations with measure data [PDF]

, 2014
In this paper, we study the existence and regularity of the quasilinear parabolic equations: $$u_t-\text{div}(A(x,t,\nabla u))=B(u,\nabla u)+\mu$$ in $\mathbb{R}^{N+1}$, $\mathbb{R}^N\times(0,\infty)$ and a bounded domain $\Omega\times (0,T)\subset ...
Quoc-hung Nguyen, See Profile
core   +7 more sources

Existence and uniqueness for a coupled parabolic‐hyperbolic model of MEMS

Mathematical Methods in the Applied Sciences, Volume 47, Issue 7, Page 6310-6353, 15 May 2024.
Local wellposedness for a nonlinear parabolic‐hyperbolic coupled system modeling Micro‐Electro‐Mechanical System (MEMS) is studied. The particular device considered is a simple capacitor with two closely separated plates, one of which has motion modeled by a semilinear hyperbolic equation.
Heiko Gimperlein, Runan He, Andrew A. Lacey   +2 more
wiley   +1 more source

A duality for prescribed mean curvature graphs in Riemannian and Lorentzian Killing submersions

Mathematische Nachrichten, Volume 297, Issue 5, Page 1581-1600, May 2024.
Abstract We develop a conformal duality for space‐like graphs in Riemannian and Lorentzian three‐manifolds that admit a Riemannian submersion over a Riemannian surface whose fibers are the integral curves of a Killing vector field, which is time‐like in the Lorentzian case.
Andrea Del Prete, Hojoo Lee, José Miguel Manzano   +2 more
wiley   +1 more source

The Mullins–Sekerka problem via the method of potentials

Mathematische Nachrichten, Volume 297, Issue 5, Page 1960-1977, May 2024.
Abstract It is shown that the two‐dimensional Mullins–Sekerka problem is well‐posed in all subcritical Sobolev spaces Hr(R)$H^r({\mathbb {R}})$ with r∈(3/2,2)$r\in (3/2,2)$. This is the first result, where this issue is established in an unbounded geometry.
Joachim Escher, Anca‐Voichita Matioc, Bogdan‐Vasile Matioc   +2 more
wiley   +1 more source

On one-dimensional stochastic control problems: applications to investment models [PDF]

The paper provides a systematic way for finding a partial differential equation that characterize directly the optimal control, in the framework of one?dimensional stochastic control problems of Mayer, with no constraints on the controls.
Juan Pablo Rincón-Zapatero, Ricardo Josa-Fombellida   +1 more
core