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Breakdown of a shallow water equation [PDF]
Asian Journal of Mathematics, 1998 The author discusses the following two questions respecting the shallow water equations: 1. When does the shallow water flow breakdown? 2. How does the shallow water equation breakdown? To answer these questions he studies the 1D equation \(\partial v/\partial t+v(\partial v/\partial x)+\partial p/\partial x=0\) with ``pressure'' \(p(x)=(1/2)\int ...
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Advanced Materials Technologies, EarlyView.Extrusion‐based bioprinting (EBB) has emerged as a versatile biofabrication platform capable of precisely depositing bioinks composed of biomaterials, cells, and bioactive agents to generate patient‐specific, biomimetic skin constructs. This paper presents a state‐of‐the‐art and forward‐looking overview of EBB for wound healing, encompassing printing ...
Hien‐Phuong Le +4 more
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Stabilizing local boundary conditions for two-dimensional shallow water equations
Advances in Mechanical Engineering, 2018 In this article, we present a sub-critical two-dimensional shallow water flow regulation. From the energy estimate of a set of one-dimensional boundary stabilization problems, we obtain a set of polynomial equations with respect to the boundary values as
Ben Mansour Dia, Jesper Oppelstrup
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Advanced Materials Technologies, EarlyView.This work establishes Bi2MoO6/rGO heterostructures as a mechanism‐guided platform for high‐performance room‐temperature ethanol gas detection by showing that modest adsorption, in conjunction with dynamic interfacial band modulation, enables rapid charge‐transfer.
Sagarika Panda +7 more
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Conservative Semi-Lagrangian Scheme Applied to One-Dimensional Shallow Water Equations
Terrestrial, Atmospheric and Oceanic Sciences, 2007 A forward-in-time semi-Lagrangian scheme developed by Sun et al. (1996) and Sun and Yeh (1997) has been applied to one-dimensional shallow water equations in both rotational and irrotational systems. After obtaining numerical results, we employ variation
Wen-Yih Sun
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Advanced Materials Technologies, EarlyView.A dyed nylon fiber is implemented inside the scattering phantom and skin tissue. The deep‐tissue light generation via whispering gallery mode lasing is demonstrated, achieving a depth of >50 times transport mean free path in scattering phantom and 3 mm beneath skin.
Dongqin Ni +4 more
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The shallow water equations: conservation laws and symplectic geometry
International Journal of Mathematics and Mathematical Sciences, 1987 We consider the system of nonlinear differential equations governing shallow water waves over a uniform or sloping bottom. By using the hodograph method we construct solutions, conservation laws, and Böcklund transformations for these equations.
Yilmaz Akyildiz
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Advanced Robotics Research, EarlyView.Amphiphilic chloroazobenzenes, bearing different amino acids as end groups alanine, phenylalanine, and valine, exhibit excellent photoisomerizations. Varying structures of three amino acid groups participate in supramolecular formations and therefore photoinduced morphological transformations via adjusting intermolecular interactions. These interaction
Shuangshuang Meng +3 more
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Advanced Robotics Research, EarlyView.This review identifies key design considerations for insect‐inspired microrobots capable of multimodal locomotion. To draw inspiration, biological and robotic strategies for moving in air, on water surfaces, and underwater are examined, along with approaches for crossing the air–water interface.
Mija Jovchevska +2 more
wiley +1 more source
On the Cauchy Problem for a Class of Weakly Dissipative One-Dimensional Shallow Water Equations
Abstract and Applied Analysis, 2013 We investigate a more general family of one-dimensional shallow water equations with a weakly dissipative term. First, we establish blow-up criteria for this family of equations. Then, global existence of the solution is also proved.
Jingjing Xu, Zaihong Jiang
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