Behavior of critical solutions of a nonlocal hyperbolic problem in Ohmic heating of foods.
Blow-Up of Solutions of Nonlinear Wave Equations in Three Space Dimensions.
Blow-Up Theorems for Nonlinear Wave Equations.
Blow-up time estimates for a non-local reactive-convective problem modelling sterilization of food
Blow-up time estimates for a non-local reactive-convective problem modelling sterilization of food
Boundary layers and glancing blow-up in nonlinear geometric optics
Boundary values and the transformation problem for constant principal strain mappings.
Branching random motions, nonlinear hyperbolic systems and travellind waves
A branching random motion on a line, with abrupt changes of direction, is studied. The branching mechanism, being independent of random motion, and intensities of reverses are defined by a particle's current direction. A solution of a certain hyperbolic system of coupled non-linear equations (Kolmogorov type backward equation) has a so-called McKean representation via such processes. Commonly this system possesses travelling-wave solutions. The convergence of solutions with Heaviside terminal...