Results 171 to 180 of about 2,948 (219)

Stability of the surface diffusion flow and volume-preserving mean curvature flow in the flat torus. [PDF]

Math Ann
De Gennaro D, Diana A, Kubin A, Kubin A.
europepmc   +1 more source

On Lyapunov-type inequality for quasilinear systems

Applied Mathematics and Computation, 2010
A Lyapunov-type inequality is derived for the quasilinear system \[ -\left(r_1(x)|u'(x)|^{p-2}u'(x)\right)'=f_1(x) |u(x)|^{\alpha-2}u(x)|v(x)|^{\beta}, \] \[ -\left(r_2(x)|v'(x)|^{q-2}v'(x)\right)'=f_2(x) |u(x)|^{\theta}|v(x)|^{\gamma-2}v(x), \] where both components of the solution \((u(x),v(x))\) have consecutive zeros at the points \(a,b\in\mathbb R\
Devrim Çakmak, Aydin Tiryaki
openaire   +3 more sources

Quasilinear nonuniformly parabolic system modelling chemotaxis

Journal of Mathematical Analysis and Applications, 2007
A system of quasilinear nonuniformly parabolic equations modelling chemotaxis and taking into account the volume filling effect is studied under no-flux boundary conditions.
Tomasz Cieslak
exaly   +2 more sources

Nonexistence of positive solutions to a quasilinear elliptic system and blow-up estimates for a non-Newtonian filtration system

Applied Mathematics Letters, 2003
The prior estimate and decay property of positive solutions are derived for a system of quasilinear elliptic differential equations first. Then the result of nonexistence for a differential equation system of radially nonincreasing positive solutions is ...
Zuodong Yang, Qishao Lu
exaly   +2 more sources

Existence and boundedness of solutions for a singular cooperative quasilinear elliptic system

Complex Variables and Elliptic Equations, 2014
International audienceThis article sets forth results on the existence, a priori estimates and boundedness of positive solutions of a singular quasilinear system of elliptic equations.
Dumitru Motreanu, Abdelkrim Moussaoui
exaly   +2 more sources

Some of the next articles are maybe not open access.

Related searches:

Quasilinear hyperbolic systems with involutions

Archive for Rational Mechanics and Analysis, 1986
The author considers quasilinear hyperbolic systems \[ (1)\quad \partial_ tU+\sum^{m}_{\alpha =1}\partial_{\alpha}G_{\alpha}(U)=0 \] where \(x\in {\mathbb{R}}^ m\), the vector U(x,t) takes values in an open subset \({\mathcal O}\subset {\mathbb{R}}^ n\) and \(G_{\alpha}: {\mathcal O}\to {\mathbb{R}}^ n\) are given smooth functions. A classical solution
openaire   +2 more sources

AN INHOMOGENEOUS QUASILINEAR HYPERBOLIC SYSTEM

Acta Mathematica Scientia, 1981
Abstract : We consider quasilinear hyperbolic partial differential equations modeling ideal gas flow under various physical effects. When these effects are represented as Lipschitz continuous functions of the states, solutions to the initial value problem are shown to exist globally in time.
openaire   +2 more sources

On Quasilinearization of Elliptic Monge–Ampère Systems

Lobachevskii Journal of Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On optimal control over quasilinear systems

Ukrainian Mathematical Journal, 1995
Author studies the approximation method for the optimal stabilization control of the quasilinear system \(\dot x=Ax+Du+\mu \varphi (x)\), where \(\mu\) is a small parameter, \(A\) and \(D\) are matrices, the function \(\varphi (x)\) is analytic in some bounded domain, components of the vector-valued function \(x(t,\mu)\) are absolutely continuous ...
openaire   +1 more source