A nonexistence result for Yamabe type problems on thin annuli
A nonlinear heat equation with temperature-dependent parameters.
A nonlinear oblique derivative boundary value problem for the heat equation : analogy with the porous medium equation
A nonlinear transmission problem with time dependent coefficients.
A nonlocal mixed semilinear problem for second-order hyperbolic equations.
A Note on Maximal Rate of Decay for Solutions to Some Linear Wave Equations.
A note on nontrivial periodic solutions of dynamical systems with subquadratic potential.
We obtain non-constant periodic solutions for a class of second-order autonomous dynamic systems whose potential is subquadratic at infinity. We give a theorem on conjugate points for convex potentials.
A note on the Cahn-Hilliard equation in involving critical exponent
We consider the Cahn-Hilliard equation in with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as and logistic type nonlinearities. In both situations we prove the -bound on the solutions and show that the individual solutions are suitably attracted by the set of equilibria. This complements the results in the literature; see J. W. Cholewa, A. Rodriguez-Bernal (2012).
A predictive method allowing the use of a single ionic model in numerical cardiac electrophysiology
One of the current debate about simulating the electrical activity in the heart is the following: Using a realistic anatomical setting, i.e. realistic geometries, fibres orientations, etc., is it enough to use a simplified 2-variable phenomenological model to reproduce the main characteristics of the cardiac action potential propagation, and in what sense is it sufficient? Using a combination of dimensional and asymptotic analysis, together with the well-known Mitchell − Schaeffer model, it is shown...
A qualitative theory for parabolic problems under dynamical boundary conditions.
A quantitative asymptotic theorem for contraction semigroups with countable unitary spectrum
Let T be a semigroup of linear contractions on a Banach space X, and let . Then is the annihilator of the bounded trajectories of T*. If the unitary spectrum of T is countable, then is the annihilator of the unitary eigenvectors of T*, and for each x in X.
A quasi-linear parabolic system of chemotaxis.
A Reduced Model for Flame-Flow Interaction
The paper is concerned with an extension of the classical relation between the flame speed and the curvature-flow stretch, valid only for high Lewis numbers (diffusively stable flames). At low Lewis numbers the corresponding flame-flow system suffers short-wavelength instability, making the associated initial value problem ill-posed. In this study the difficulty is resolved by incorporation of higher-order effects. As a result one ends up with a reduced model based on a coupled system of second-order...
A remark on global smooth solutions for quasilinear wave equations
A remark on the blow-up of the solutions of a partial differential equation.
A remark on the large time behavior of solutions of viscous Hamilton-Jacobi equations
A review on the improved regularity for the primitive equations
In this work we will study some types of regularity properties of solutions for the geophysical model of hydrostatic Navier-Stokes equations, the so-called Primitive Equations (PE). Also, we will present some results about uniqueness and asymptotic behavior in time.
A Riemann problem with small viscosity and dispersion.
A semidiscretization scheme for a phase-field type model for solidification.
A semi-linear elliptic equation in a strip arising in a two-dimensional flame propagation model.