Results 41 to 50 of about 1,150,426 (301)
Flows of singular vector fields and applications to fluid and kinetic equations [PDF]
, 2015 Several physical phenomena arising in fluid dynamics and kinetic equations can be modeled by nonlinear transport PDE. Such quantities are the vorticity of a fluid, or the density of a collection of particles advected by a velocity field which is highly ...
Bohun, Anna
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Nonlinear Parabolic Equations with Regularized Derivatives
Journal of Mathematical Analysis and Applications, 1999 Nonlinear systems of differential equations \[ \partial_tu+\partial_xf(u)+g(u)=\Delta u\tag{1} \] are considered on \(\mathbb R_+^{n+1}\) \((t>0)\), where \(u=(u_1,\dots,u_m)^T\), \(f(u)=(f_1(u),\dots,f_n(u))^T\), \(\partial_xf(u)=\sum_{i=1}^n\partial_{x_i}f_i(u)\).
Wang, Y.G., Oberguggenberger, M.
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Regularity results for nonlocal fully nonlinear elliptic equations [PDF]
, 2013 Rang M. Regularity results for nonlocal fully nonlinear elliptic equations. Bielefeld: Universitätsbibliothek; 2013.In this thesis we consider nonlocal fully nonlinear elliptic operators derived from a certain class of linear integro-differential ...
Rang, Marcus
core
Arthritis Care &Research, EarlyView.Objective Youth who experience a sport‐related knee injury have elevated odds of becoming overweight or developing obesity in 3 to 10 years, compounding their risk for posttraumatic osteoarthritis (PTOA). To inform prevention strategies, this study compared patterns of adiposity change between youth with a sport‐related knee injury and uninjured youth ...
Justin M. Losciale +6 more
wiley +1 more source
Arthritis Care &Research, EarlyView.Objective Despite guideline recommendations, long‐term glucocorticoid (GC) use is common in rheumatoid arthritis (RA). We conducted a clinician survey nested within a large registry to identify patient and clinician factors associated with GC use. Methods Clinicians contributing patients to the CorEvitas Rheumatoid Arthritis Registry were surveyed ...
Michael D. George +7 more
wiley +1 more source
A regularity criterion for the three-dimensional micropolar fluid system in homogeneous Besov spaces
Electronic Journal of Qualitative Theory of Differential Equations, 2016 By establishing a new trilinear estimate, we show a regularity criterion for the three dimensional micropolar fluid system via the velocity in homogeneous Besov spaces. This improves [B. Q. Dong, Z. L.
Zujin Zhang
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On the set of positive solutions for resonant Robin (p, q)-equations
Advances in Nonlinear Analysis, 2021 We consider a nonlinear Robin problem driven by the (p, q)-Laplacian and a parametric reaction exhibiting the competition of a concave term and of a resonant perturbation.
Papageorgiou Nikolaos S., Zhang Youpei
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Advances in Sustainable and Wearable Textile Based Soft Robotics
Advanced Functional Materials, EarlyView.This Review examines advances in wearable textile‐based soft robotics, focusing on sustainable materials, integrated sensing, and scalable actuation. It discusses manufacturing and system integration across healthcare, assistive robotics, prosthetics, and human–machine interfaces, and highlights key challenges in circular design, including life‐cycle ...
Zahir Abbas +6 more
wiley +1 more source
Positive Solutions for Resonant (p, q)-equations with convection
Advances in Nonlinear Analysis, 2020 We consider a nonlinear parametric Dirichlet problem driven by the (p, q)-Laplacian (double phase problem) with a reaction exhibiting the competing effects of three different terms. A parametric one consisting of the sum of a singular term and of a drift
Liu Zhenhai, Papageorgiou Nikolaos S.
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Ellipticity and Regularity for Periodic Nonlinear Equations [PDF]
Proceedings of the American Mathematical Society, 1969 The composition of two strongly elliptic linear operators with suitably differentiable coefficients is also strongly elliptic. This fact has been used [3, pp. 178-181] to yield a particularly simple proof of the regularity of weak solutions of periodic strongly elliptic linear equations.
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