Results 41 to 50 of about 40,571 (332)
Riesz potentials and nonlinear parabolic equations [PDF]
, 2013 The spatial gradient of solutions to nonlinear degenerate parabolic equations can be pointwise estimated by the caloric Riesz potential of the right hand side datum, exactly as in the case of the heat equation.
A. Cianchi +31 more
core +1 more source
, 2015 We obtain new oscillation and gradient bounds for the viscosity solutions of fully nonlinear degenerate elliptic equations where the Hamiltonian is a sum of a sublinear and a superlinear part in the sense of Barles and Souganidis (2001).
Ley, Olivier, Nguyen, Vinh Duc
core +2 more sources
Impulsive Quenching for Degenerate Parabolic Equations
Journal of Mathematical Analysis and Applications, 1996 An impulsive problem for a singular degenerate parabolic equation is studied. Sufficient conditions for the existence of a unique critical length are given. The critical length \(a^*\) is the length of the space interval such that the solution with zero initial and boundary data quenches for intervals larger than \(a^*\) but it exists globally for ...
C.Y. Chan, P.C. Kong
openaire +3 more sources
From Nature to Engineering: Mortar Volume and Interfacial Mechanics in Bioinspired Ceramics
Advanced Engineering Materials, EarlyView.Inspired by natural armors like nacre, this study explores how varying the volume fraction of the soft mortar layer impacts the interfacial strength and toughness of bioinspired ceramics. Experimental and computational analysis reveals that higher mortar volumes increase energy dissipation but reduce interfacial stiffness, offering insights for ...
Ehsan Azad +4 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.The role of various alloying elements in face‐centered cubic aluminum on the barrier of a Shockley partial dislocation during its motion is presented. The study aims to understand how alloying atoms such as Mg, Si, and Zr affect the energy landscape for dislocation motion, thus influencing the solid solution hardening and softening in aluminum, which ...
Inna Plyushchay +3 more
wiley +1 more source
A Two-Species Cooperative Lotka-Volterra System of Degenerate Parabolic Equations
Abstract and Applied Analysis, 2011 We consider a cooperating two-species Lotka-Volterra model of degenerate parabolic equations. We are interested in the coexistence of the species in a bounded domain.
Jiebao Sun, Dazhi Zhang, Boying Wu
doaj +1 more source
Asymptotic behavior for parabolic equations with interior degeneracy
Examples and Counterexamples, 2022 The long time behavior of a class of degenerate parabolic equations in a bounded domain will be considered in the sense that the nonnegative diffusion coefficient a(x)is allowed to vanish in a set of positive measure in the interior of the domain.
María Astudillo +3 more
doaj +1 more source
Mixed problems for degenerate abstract parabolic equations and applications [PDF]
, 2017 Degenerate abstract parabolic equations with variable coefficients are studied. Here the boundary conditions are nonlocal. The maximal regularity properties of solutions for elliptic and parabolic problems and Strichartz type estimates in mixed $L_{p ...
Sahmurova, Aida, Shakhmurov, Veli
core +1 more source
High‐Temperature Oxidation of the CrFeNi Medium‐Entropy Alloy
Advanced Engineering Materials, EarlyView.The oxidation behavior of equiatomic CrFeNi MEA is a key issue that determines this material's suitability for high‐temperature application. The understanding of long‐term behavior is even more crucial than short‐term corrosion effects. The alloy is exposed to synthetic air at 1000, 1050, and 1100 °C for 24, 100, and 1000 h and systematically compared ...
Anna Maria Manzoni +5 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.Rotary friction welding of steel E355 and the aluminum alloy EN AW‐6082 can lead to the formation of brittle intermetallic phases. The primary process parameters are varied in order to determine their influence on this intermetallic phase formation and the resulting mechanical properties.
Laura Huber +4 more
wiley +1 more source