Results 21 to 30 of about 22,806,811 (229)

Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions [PDF]

open access: yes, 2018
In this article we provide a local wellposedness theory for quasilinear Maxwell equations with absorbing boundary conditions in $\mathcal{H}^m$ for $m \geq 3$.
Schnaubelt, Roland, Spitz, Martin
core   +3 more sources

Infinite time blow-up of many solutions to a general quasilinear parabolic-elliptic Keller-Segel system [PDF]

open access: yesDiscrete and Continuous Dynamical Systems. Series A, 2017
We consider a parabolic-elliptic chemotaxis system generalizing \[ \begin{cases}\begin{split} & u_t=\nabla\cdot((u+1)^{m-1}\nabla u)-\nabla \cdot(u(u+1)^{\sigma-1}\nabla v)\\ & 0 = \Delta v - v + u \end{split}\end{cases} \] in bounded smooth domains $
J. Lankeit
semanticscholar   +1 more source

A Plankton allelopathic model described by a delayed quasilinear parabolic system

open access: yesMathematical Modelling and Analysis, 2012
The quasilinear parabolic system has been applied to a variety of physical and engineering problems. However, most works lack effective techniques to deal with the asymptotic stability.
Canrong Tian, Peng Zhu
doaj   +1 more source

Local wellposedness of quasilinear Maxwell equations with conservative interface conditions [PDF]

open access: yes, 2018
We establish a comprehensive local wellposedness theory for the quasilinear Maxwell system with interfaces in the space of piecewise $H^m$-functions for $m \geq 3$.
Schnaubelt, Roland, Spitz, Martin
core   +3 more sources

Quasilinear hyperbolic systems [PDF]

open access: yesCommunications in Mathematical Physics, 1979
We construct global solutions for quasilinear hyperbolic systems and study their asymptotic behaviors. The systems include models of gas flows in a variable area duct and flows with a moving source. Our analysis is based on a numerical scheme which generalizes the Glimm scheme for hyperbolic conservation laws.
openaire   +3 more sources

Blow-Up of Solutions for a Coupled Nonlinear Viscoelastic Equation with Degenerate Damping Terms: Without Kirchhoff Term

open access: yesComplexity, 2021
In this work, we consider a quasilinear system of viscoelastic equations with degenerate damping and source terms without the Kirchhoff term. Under suitable hypothesis, we study the blow-up of solutions.
Salah Mahmoud Boulaaras   +4 more
doaj   +1 more source

Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems

open access: yesAbstract and Applied Analysis, 2002
This work is devoted to the study of a quasilinear elliptic system of resonant type. We prove the existence of infinitely many solutions of a related nonlinear eigenvalue problem.
Pablo L. de Nàpoli, M. Cristina Mariani
doaj   +1 more source

Phase-space structures in quantum-plasma wave turbulence [PDF]

open access: yes, 2008
The quasilinear theory of the Wigner-Poisson system in one spatial dimension is examined. Conservation laws and properties of the stationary solutions are determined.
A. A. Vedenov   +10 more
core   +5 more sources

One approach to solve a nonlinear boundary value problem for the Fredholm integro-differential equation

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
A quasilinear boundary value problem for a Fredholm integro-differential equation is considered. The interval is divided into N parts and the values of the solution to the equation at the left end points of the subintervals are introduced as additional ...
D.S. Dzhumabaev, S.T. Mynbayeva
doaj   +1 more source

A version of the Glimm method based on generalized Riemann problems [PDF]

open access: yes, 2006
We introduce a generalization of Glimm's random choice method, which provides us with an approximation of entropy solutions to quasilinear hyperbolic system of balance laws. The flux-function and the source term of the equations may depend on the unknown
Hong, John M., LeFloch, Philippe G.
core   +3 more sources

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