Quasilinear wave equation
Web104.Feng Dai and B. Liu, Asymptotic stability in a quasilinear chemotaxis-haptotaxis model with general logistic source and nonlinear signal production, J. Differential Equtaions, 269 ... 2024年 79. Lei Zhang and B. Liu, On the Cauchy problem for a class of shallow water wave equations with (k+1)-order nonlinearities, J. Math. Anal . Appl ... WebJan 1, 1991 · Printed in Great Britain. ON A QUASILINEAR WAVE EQUATION WITH MEMORY RICARDO TORREI Department of Mathematics, Southwest Texas State University, San …
Quasilinear wave equation
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WebAug 17, 2014 · The sharp, H^ {2+\epsilon}, local well-posedness result for general quasilinear wave equation was achieved by Smith and Tataru by constructing a …
Web%0 Book Section %A Alinhac, Serge %T An example of blowup at infinity for a quasilinear wave equation %B Autour de l'analyse microlocale - Volume en l'honneur de Jean-Michel … WebJan 1, 1988 · On a Nonlinear Wave Equation in Unbounded Domains. ... K. 0n a lobal solution of some quasilinear hyperl)olic equation, Tokyo J. Math. vol. 7, (2) 198. On a new class of …
WebJan 1, 2002 · In these coordinates (1) reduces to the following system of quasilinear wave equations g φ = 0, g g µν = −∂ µ φ∂ ν φ + P µν (∂g, ∂g), (2) where P µν is a quadratic form. … WebIt can be shown that Burgers’ equation is not Lipschitz continuous. Thus, a contraction mapping argument cannot hold. 1.2. Well-posedness of quasilinear wave equations. …
WebCunming LIU Peng QU. 1 Introduction. Consider the following first-order quasilinear hyperbolic system with one space variable: whereu=(u1,···,un)T∈Uis the unknown vector function of(t,x),taking values in a bounded and connected domainU⊂(for convenience,all equations hold foru∈throughout this paper,unless otherwise indicated),andA(u)=(aij(u))is …
WebSep 10, 2024 · Paul Wintz. 299 2 10. Add a comment. -3. The simplest definition of a quasi-linear PDE says: A PDE in which at least one coefficient of the partial derivatives is really a … thule opavaWebOn a quasilinear wave equation with memory. Nonlinear Analysis: Theory, Methods & Applications, Vol. 16, Issue. 1, p. 61. CrossRef; Google Scholar; Nakao, Mitsuhiro 1992. … thule onto towbar cargo carrier blackWebWe prove a constructive stable ODE-type blowup-result for open sets of solutions to a family of quasilinear wave equations in three spatial dimensions. The blowup is driven by a … thule onto testWebHis work provided a significant advancement over a large body of prior work concerning the long-time behavior of solutions to higher-dimensional quasilinear wave equations, … thule ophangsysteemWebNonlinear wave equations. instrucor: Dr. Jonathan Luk . We discuss the local and global theories for quasilinear wave equations and their applications to physical theories … thule opoleWebWe consider the following quasilinear Schrodinger equations of the form $$\begin{aligned} \triangle u-\varepsilon V(x)u+u\triangle u^2+u^{p}=0,\ u>0\ \text{ in ... thule opstaptredeWebPurpose of this page: This collection of web pages is concerned with the local and global well-posedness of various non-linear dispersive and wave equations. An equation is … thule oprijgoot easyfold 932