Results 71 to 80 of about 11,005 (190)
Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
wiley +1 more source
, 2018 Zero-curvature representations (ZCRs) are one of the main tools in the theory of integrable PDEs. In particular, Lax pairs for $(1+1)$-dimensional PDEs can be interpreted as ZCRs.
Igonin, Sergei, Manno, Gianni
core
Free Surface Waves in Electrohydrodynamics With a Prescribed Vorticity Distribution
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Traditionally, the study of free surface flows assumed irrotationality to simplify matters, and the results seemed to have great success, notably with the Korteweg‐de Vries(KdV) equation. In the past decade, there have been attempts to remove this seemingly strong condition and replace it with a global constant vorticity equivalent to a linear
M. J. Hunt, Denys Dutykh
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Modern engineering systems require advanced uncertainty‐aware model updating methods that address parameter correlations beyond conventional interval analysis. This paper proposes a novel framework integrating Riemannian manifold theory with Gaussian Process Regression (GPR) for systems governed by Symmetric Positive‐Definite (SPD) matrix ...
Yanhe Tao +3 more
wiley +1 more source
The von Neumann Stability Analysis of the Fixed‐Stress Schemes in Poroelastodynamics
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT We investigate splitting schemes based on the fixed‐stress sequential approach for poroelastodynamic problems. To assess numerical stability, we perform the von Neumann stability analysis on several fixed‐stress schemes for poroelastodynamics, including staggered, stabilized, and iterative methods. Our analysis reveals that while the staggered
Jihoon Kim +2 more
wiley +1 more source
Effect of Designed 3D Reinforcement in Mitigating Machining Damage on CFRP Plates
Polymer Composites, EarlyView.Effect of Edge Tufting on Surface Quality, Damage, and Mechanical Performance in CFRP Machining: A Comparative Topographical and Structural Analysis. ABSTRACT Composite materials made of carbon fiber‐reinforced epoxy (CFRP) are widely used in aerospace fields due to their high strength‐to‐weight ratio. However, due to low out‐of‐plane resistance, these
Thiago Luiz Lara Oliveira +2 more
wiley +1 more source
Treatment of pediatric epilepsy
Pediatric Investigation, EarlyView.Anti‐seizure medications are the first‐line treatment for the vast majority of children with epilepsy, with the advantages of non‐invasive wide adaptability. Surgery is the main treatment for drug‐resistant epilepsy and lesion‐related epilepsy, which can cure some cases of epilepsy in children. A ketogenic diet is often an add‐on therapy.
Junxiao Li +8 more
wiley +1 more source
Advanced Quantum Technologies, EarlyView.Quantum algorithms for differential equations are developed with applications in computational fluid dynamics. The methods follow an iterative simulation framework, implementing Jacobi and Gauss–Seidel schemes on quantum registers through linear combinations of unitaries.
Chelsea A. Williams +4 more
wiley +1 more source
Cardiac disease in systemic sclerosis: Integrating pathobiology with clinical management
Rheumatology &Autoimmunity, EarlyView.Abstract Systemic sclerosis (SSc) is a complex autoimmune disorder in which cardiovascular involvement remains a major determinant of morbidity and mortality. Cardiac injury in SSc results from the interplay of microvascular dysfunction, immune‐mediated inflammation, and progressive interstitial and replacement fibrosis, leading to myocardial disease ...
Henry Sutanto, Betty Rachma, Yuliasih
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Adaptive Sliding‐Mode Control of a Perturbed Diffusion Process With Pointwise In‐Domain Actuation
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT A sliding mode–based adaptive control law is proposed for a class of diffusion processes featuring a spatially‐varying uncertain diffusivity and equipped with several point‐wise actuators located at the two boundaries of the spatial domain as well as in its interior.
Paul Mayr +3 more
wiley +1 more source