Results 21 to 30 of about 4,498 (109)

Parabolic regularization of the gradient catastrophes for the Burgers-Hopf equation and Jordan chain

, 2018
Non-standard parabolic regularization of gradient catastrophes for the Burgers-Hopf equation is proposed. It is based on the analysis of all (generic and higher order) gradient catastrophes and their step by step regularization by embedding the Burgers ...
Konopelchenko, B. G., Ortenzi, G.
core   +1 more source

An Extended Krylov Subspace Method for Decoding Edge‐Based Compressed Images by Homogeneous Diffusion

Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.
ABSTRACT The heat equation is often used to inpaint dropped data in inpainting‐based lossy compression schemes. We propose an alternative way to numerically solve the heat equation by an extended Krylov subspace method. The method is very efficient with respect to the computation of the solution of the heat equation at large times.
Volker Grimm, Kevin Liang
wiley   +1 more source

Virulence Regulation and Lifestyle Transitions: The Role of c‐di‐GMP and Two‐Component Systems in Erwinia amylovora and Their Evolutionary Context Within Enterobacterales

Molecular Plant Pathology, Volume 27, Issue 2, February 2026.
Erwinia amylovora infects apple blossoms by activating the T3SS, then spreads systemically via amylovoran‐mediated biofilms. Transitions between motile and sessile states are regulated by key two‐component systems and c‐di‐GMP. This review summarises infection biology, virulence factors, regulatory networks and evolutionary insights underlying fire ...
Dhirendra Niroula, Kalyani Bhandari, George W. Sundin, Janak R. Joshi   +3 more
wiley   +1 more source

Flow of Elastoviscous Nanofluid Through an Elongating Surface With Dissipative Heat: A Confluent Hypergeometric Solution

Asia-Pacific Journal of Chemical Engineering, Volume 21, Issue 1, January/February 2026.
ABSTRACT Thermal energy transport likely through polymer extrusion, cooling of metallic plates, and chemical processing equipment relating to the flow of viscoelastic nanofluid has a greater role in engineering because of its elastic characteristics.
Rupa Baithalu, S. R. Mishra, Ram Prakash Sharma, Laxmipriya Swain   +3 more
wiley   +1 more source

Analytic and Asymptotic Methods for Nonlinear Singularity Analysis: a Review and Extensions of Tests for the Painlev\'e Property

, 1997
The integrability (solvability via an associated single-valued linear problem) of a differential equation is closely related to the singularity structure of its solutions.
A. C. Newell, A. Fordy, A. Ramani, A. Ramani, B. Gambier, C. M. Cosgrove, C.M. Bender, C.S. Gardner, D.K. Ludlow, E.A. Coddington, E.L. Ince, F.J. Bureau, F.W.J. Olver, G. Halphen, H. Yoshida, J. Chazy, J. Chazy, J. Weiss, J.B. McLeod, L. Hlavatý, L.J. Mason, M.D. Kruskal, M.D. Kruskal, M.D. Kruskal, M.D. Kruskal, M.J. Ablowitz, M.J. Ablowitz, M.J. Ablowitz, M.J. Ablowitz, M.J. Ablowitz, N. Joshi, N. Joshi, N. Joshi, N. Joshi, N. Joshi, N. Joshi, P. Boutroux, P. Painlevé, P. Painlevé, P. Painlevé, P. Painlevé, P.A. Clarkson, R. Conte, R. Fuchs, R. Grimshaw, S. Kichenassamy, S. Kichenassamy, S. Kowalevski, S. Kowalevski, S. Ziglin, S. Ziglin, T. Bountis, V.I. Arnold, Z. Nehari   +53 more
core   +1 more source

A matter arising: When should inflammatory and autoimmune rheumatic diseases be considered ‘early’?

European Journal of Clinical Investigation, Volume 56, Issue 1, January 2026.
Timely recognition of inflammatory and autoimmune rheumatic diseases (IARDs) is important to optimize the early diagnosis with tailored interventions and possible prevention of irreversible organ damage. This narrative review provides an update by summarizing the advances in identifying the early stages of rheumatoid arthritis, systemic sclerosis and ...
Elvis Hysa, Emanuele Gotelli, Carmen Pizzorni, Sabrina Paolino, Alberto Sulli, Vanessa Smith, Rosanna Campitiello, Maurizio Cutolo   +7 more
wiley   +1 more source

A unified thermo‐chemo‐mechanical model for passive, active, and interfacial oxidation of silicon carbide

Journal of the American Ceramic Society, Volume 109, Issue 1, January 2026.
Abstract Silicon carbide (SiC) is a promising material for hypersonic thermal protection systems, but its complex oxidation behavior—marked by transitions between passive, active, and interfacial bubbling regimes—can lead to catastrophic failure. Existing SiC models typically focus exclusively on either passive or active oxidation.
Théo A. Rulko, Raúl A. Radovitzky
wiley   +1 more source

Cloaking for a quasi-linear elliptic partial differential equation

, 2017
In this article we consider cloaking for a quasi-linear elliptic partial differential equation of divergence type defined on a bounded domain in $\mathbb{R}^N$ for $N=2,3$.
Brown, André EX, Ch'ng, Quee-Lim, Currie, Michael, Grundy, Laura J, Hokanson, Jim, Javer, Avelino, Kerr, Rex, Lee, Chee Wai, Li, Chris, Li, Kezhi, Schafer, William R, Yemini, Eviatar   +11 more
core   +8 more sources

Module structure of Weyl algebras

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley   +1 more source

Computational Analysis of Prandtl on the Fluid Relaxation Time Features for the Energy and Concentration Nanomaterial Flow of Motile Microorganisms Induced by a Deformable Sheet With Chemical Reactions

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This study investigates the phenomenon of bioconvection in a Darcy–Forchheimer flow of a Prandtl fluid on a stretching sheet, considering dual diffusive processes and incorporating the Cattaneo–Christov heat conduction model. For the conversion of modeled equations to dimensionless, a suitable set of variables has been incorporated.
S. S. Zafar, Umair Khan, A. Zaib, Farhan Ali, M. Faizan, Deepali   +5 more
wiley   +1 more source