Results 21 to 30 of about 2,948 (219)
Large time behavior in a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system [PDF]
, 2023 summary:This paper deals with a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system. Boundedness, stabilization and blow-up in this system of the fully parabolic and parabolic-elliptic-elliptic versions have already been ...
Chiyo, Yutaro
core +1 more source
Boundedness in a quasilinear parabolic-parabolic chemotaxis system with nonlinear logistic source [PDF]
, 2015 summary:We study a quasilinear parabolic-parabolic chemotaxis system with nonlinear logistic source, under homogeneous Neumann boundary conditions in a smooth bounded domain.
Liu, Ji, Zheng, Jia-Shan
core +1 more source
On quasilinear parabolic systems
Mathematische Annalen, 1988 We prove local existence results for second order quasilinear parabolic systems with nonlinear boundary conditions in the class \[ C^{1+\alpha}([t_ 0,\tau],[L^ p(\Omega)]^ N)\cap C^{\alpha}([t_ 0,\tau],[W^{2,p}(\Omega)]^ N), \] where \(\alpha\) \(\in]0,[\), \(p>n\). Further space regularity properties are also shown.
ACQUISTAPACE, PAOLO, TERRENI B.
openaire +3 more sources
Қарағанды 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
Complexity, 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
Journal of Inequalities and Applications, 2019 Let X={X1,…,Xm} $X=\{X_{1} ,\ldots ,X_{m} \}$ be a system of smooth real vector fields satisfying Hörmander’s rank condition. We consider the interior regularity of weak solutions to an obstacle problem associated with the nonhomogeneous nondiagonal ...
Guangwei Du, Kelei Zhang, Yan Dong
doaj +1 more source
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 A quasilinear autonomous system with an operator of differentiation with respect to the characteristic directions of time and space variables associated with a Lyapunov’s vector field is considered.
Zh.A. Sartabanov, B.Zh. Omarova
doaj +1 more source
A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity [PDF]
, 2010 In this paper, we prove the existence and global boundedness from above for a solution to an integro-differential model for nonisothermal multi-phase transitions under nonhomogeneous third type boundary conditions.
P. Colli +12 more
core +1 more source
Conditional Symmetries and Riemann Invariants for Hyperbolic Systems of PDEs
, 2007 This paper contains an analysis of rank-k solutions in terms of Riemann invariants, obtained from interrelations between two concepts, that of the symmetry reduction method and of the generalized method of characteristics for first order quasilinear ...
Huard, Benoit, Grundland, A. Michel
core +1 more source
Quasilinear elliptic systems [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 1978 The quasilinear elliptic system $$\sum\limits_{l{\text{ = 1}}}^n {\frac{\partial }{{\partial x_l }}\left\{ {\sum\limits_{j = 1}^N {\sum\limits_{m = 1}^n {C_{ij}^{lm} [x,U]\frac{{\partial U^j }}{{\partial x_m }} + B_i^l [x,U]} } } \right\} + F_i [x,U] = 0} $$
openaire +1 more source