A5048359772- Navier-Stokes equation solutions
- Advanced Mathematical Physics Problems
- Stability and Controllability of Differential Equations
- Optimization and Variational Analysis
- Computational Fluid Dynamics and Aerodynamics
- Fluid Dynamics and Turbulent Flows
- Nonlinear Partial Differential Equations
- Advanced Differential Equations and Dynamical Systems
- Insect symbiosis and bacterial influences
- Phytoplasmas and Hemiptera pathogens
- Nonlinear Differential Equations Analysis
- Stochastic processes and financial applications
- Insect-Plant Interactions and Control
- Economic theories and models
- Nonlinear Waves and Solitons
- Advanced Mathematical Modeling in Engineering
- Geometric Analysis and Curvature Flows
- Control and Dynamics of Mobile Robots
- Mathematical and Theoretical Epidemiology and Ecology Models
- Gas Dynamics and Kinetic Theory
- Traffic control and management
- Mathematical Biology Tumor Growth
- Plant Virus Research Studies
- Transportation Planning and Optimization
- Evacuation and Crowd Dynamics
Pennsylvania State University
2015-2024
University of Hawaii System
2007-2024
University of Padua
1985-2022
Norwegian University of Science and Technology
2021-2022
University of Aveiro
2019
Bayer (United States)
2015-2017
National University of Patagonia San Juan Bosco
2015
University of Hawaiʻi at Mānoa
2009-2014
University of Houston
2014
University of Milano-Bicocca
2014
This paper is devoted to the continuation of solutions Camassa–Holm equation after wave breaking. By introducing a new set independent and dependent variables, evolution problem rewritten as semilinear hyperbolic system in an L ∞ space, containing non-local source term which discontinuous but has bounded directional variation. For given initial condition, Cauchy unique solution obtained fixed point contractive integral transformation. Returning original we obtain semigroup global dissipative...
We consider the Cauchy problem for a strictly hyperbolic, n × system in one-space dimension: u t + A(u)u x = 0, assuming that initial data have small total variation.We show solutions of viscous approximations εu xx are defined globally time and satisfy uniform BV estimates, independent ε.Moreover, they depend continuously on L 1 distance, with Lipschitz constant t, ε.Letting ε → these converge to unique limit, depending data.In conservative case where A Df is Jacobian some flux function f :...
The broad research thematic of flows on networks was addressed in recent years by many researchers, the area applied mathematics, with new models based partial differential equations. latter brought a significant innovation field previously dominated more classical techniques from discrete mathematics or methods ordinary In particular, number results, mainly dealing vehicular traffic, supply chains and data networks, were collected two monographs: Traffic flow , AIMSciences, Springfield,...
We construct a continuous semigroup of weak, dissipative solutions to nonlinear partial differential equation modeling nematic liquid crystals. A new distance functional, determined by problem optimal transportation, yields sharp estimates on the continuity with respect initial data.
The paper provides a direct proof the uniquenessof solutions to Camassa-Holm equation, based on characteristics.Given conservative solution $u=u(t,x)$,an equation is introduced which singles out unique characteristiccurve through each initial point.By studying evolution of quantities $u$ and $v= 2\arctan u_x$along characteristic, it proved that Cauchy problem with generalinitial data$u_0\in H^1(\mathbb{R})$ has solution, globally in time.
Maize chlorotic mottle virus (MCMV) (Tombusviridae: Machlomovirus) has been recorded in Hawaii (Kauai Island) since the early 1990s and become one of most widespread corn viruses Hawaiian Islands. In United States Mainland, MCMV reported to be transmitted by six different species chrysomelid beetles, including western rootworm, Diabrotica virgifera LeConte. However, none these beetle have where thrips, Frankliniella williamsi Hood (Thysanoptera: Thripidae) identified main vector. this study,...
This paper is concerned with the structure of asymptotically stabilizing feedbacks for a nonlinear control system on . We first introduce family discontinuous, piecewise smooth vector fields and derive number properties enjoyed by solutions corresponding O.D.E's. then define class "patchy feedbacks" which are obtained patching together locally finite controls. Our main result shows that, if controllable at origin, it can be stabilized constant patchy feedback control.