Blowup of small data solutions for a quasilinear wave equation in two space dimensions
For the quasilinear wave equation \partial_t^2u - \Delta u = u_t u_{tt}, we analyze the long-time behavior of classical solutions with small (not rotationally invariant) data.
Alinhac, Serge
core
Partial regularity for quasilinear nonuniformly elliptic systems
We prove the partial regularity of the weak solutions of the quasilinear nonuniformely elliptic system div(A(∇u))=0 under an ellipticity condition which lies between strong ellipticity and Legendre-Hadamard condition.
Michele Frasca, Alexandre V. Ivanov
doaj
Simulating accurate and effective solutions of some nonlinear nonlocal two-point BVPs: Clique and QLM-clique matrix methods. [PDF]
Izadi M, Singh J, Noeiaghdam S.
europepmc +1 more source
Existence result of continuous positive solutions for a reaction–diffusion system
This paper mainly seeks to contribute to the study of a quasilinear parabolic reaction–diffusion system of arbitrary order with initial conditions. Using potential analysis techniques, we establish the existence of continuous positive solutions.
Mounir Redjouh +2 more
doaj +1 more source
Higher order approximation in exponential form based on half-step grid-points for 2D quasilinear elliptic BVPs on a variant domain. [PDF]
Setia N, Mohanty RK.
europepmc +1 more source
In this article we study the existence of weak solutions for quasilinear parabolic system in divergence form with variable growth. By means of Young measures, Galerkin's approximation method and the theory of variable exponents spaces, we obtain the ...
Miaomiao Yang, Yongqiang Fu
doaj
Solving nonlinear systems with fractional derivative damping is often challenging, particularly in cases of strong damping and excitation. To derive solutions for such strong nonlinear systems more concisely, this manuscript presents an approximate ...
Ming Xu
doaj +1 more source
Computational Procedure for Analysis of Crystallites in Polycrystalline Solids of Quasilinear Molecules. [PDF]
Iliev S +5 more
europepmc +1 more source
Minimizing the distortions in electrophysiological source imaging of cortical oscillatory activity via Spectral Structured Sparse Bayesian Learning. [PDF]
Paz-Linares D +11 more
europepmc +1 more source
High precision compact numerical approximation in exponential form for the system of 2D quasilinear elliptic BVPs on a discrete irrational region. [PDF]
Mohanty RK +3 more
europepmc +1 more source

