Results 61 to 70 of about 189,912,866 (144)
Maximum principles at infinity and the Ahlfors-Khas'minskii duality: an overview [PDF]
, 2019 This note is meant to introduce the reader to a duality principle for nonlinear equations recently discovered in cite{valtorta, marivaltorta, maripessoa}.
Mari, Luciano +1 more
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Reviews of Geophysics, Volume 64, Issue 4, December 2026.Abstract Spatial heterogeneity, manifested as strong variability in hydraulic conductivity (K) within geological formations, exerts a fundamental control on groundwater flow and solute transport. Because K can vary over multiple orders of magnitude in complex three‐dimensional patterns, predicting contaminant plume migration remains a long‐standing ...
Zhilin Guo +8 more
wiley +1 more source
A Potential Constraints Method of Finding Nonclassical Symmetry of PDEs Based on Wu’s Method
, 2019 Solving nonclassical symmetry of partial differential equations (PDEs) is a challenging problem in applications of symmetry method. In this paper, an alternative method is proposed for computing the nonclassical symmetry of PDEs.
Temuer Chaolu, Tonglaga Bai
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On the Global Asymptotic Stability of an Infection‐Age‐Structured Competitive Model
Mathematical Methods in the Applied Sciences, Volume 49, Issue 17, Page 18040-18072, 30 November 2026.ABSTRACT We investigate an infection‐age‐structured competitive epidemiological model involving multiple strains. While classical results establish competitive exclusion when a unique maximal basic reproduction number exists, we provide here a complete characterization of the asymptotic behavior for an arbitrary number of populations without assuming ...
S. Girel, Q. Richard
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Subwavelength Topology Optimization With Feature‐Mapping
International Journal for Numerical Methods in Engineering, Volume 127, Issue 21, 15 November 2026.ABSTRACT Acoustic topology optimization has been extensively studied since the earliest developments of structural optimization, and substantial progress has been made in the design of acoustic devices. More recently, wave‐focusing applications have attracted growing interest.
Felix Huber, Fabian Wein, Florian Toth
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Computational Models of the Foreign Body Response: A Focus on Biomaterial Properties
Journal of Biomedical Materials Research Part A, Volume 114, Issue 11, November 2026.ABSTRACT The foreign body response (FBR) is the main biological process governing the long‐term performance and safety of implantable biomaterials. As the FBR is complex, multifactorial, and unfolds over extended time scales, making in vitro replication challenging, standard biological evaluation frameworks continue to rely primarily on in vivo testing
Matilde Marradi +5 more
wiley +1 more source
Large sets at infinity and Maximum Principle on unbounded domains for a class of sub-elliptic operators [PDF]
, 2019 Maximum Principles on unbounded domains play a crucial role in several problems related to linear second-order PDEs of elliptic and parabolic type. In the present notes, based on a joint work with prof. E.
Biagi S., Biagi, Stefano
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Neutrophils: Heterogeneity, Biology, Diseases, and Therapeutic Strategies
MedComm, Volume 7, Issue 11, November 2026.Neutrophils exhibit remarkable functional plasticity and play dual roles in tissue protection and disease progression. This review summarizes their key biological functions and highlights the shift from conventional broad‐spectrum interventions to neutrophil‐based drug delivery systems.
Yibing Zhang +4 more
wiley +1 more source
, 2011 International audienceWe are concerned with fully nonlinear possibly degenerate elliptic partial differential equations (PDEs) with superlinear terms with respect to $Du$.
Ley, Olivier +3 more
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Remarks relevant to classical maximum principles [PDF]
, 2004 We extend, sharpen, or give independent proofs of classical maximum principles. We also concentrate on maximum principles for equations of higher order. All proofs (except for one) are derived via comparison principles.
Cristian-Paul Danet +1 more
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