Results 31 to 40 of about 240 (185)
Semilinear Parabolic Equations, Diffusions, and Superdiffusions
Journal of Functional Analysis, 1998 This paper deals with first and second initial-boundary value problems of the heat equation in a bounded domain lying in \(\mathbb{R}^{n+1}\) with \(L^p\) boundary data. The author defines certain mixed (thermal) potentials in terms of the fundamental solution for the heat equation.
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Spreading Speed for a Vector‐Borne Disease System on Non‐Coincident Straight Infinite Cylinders
Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.ABSTRACT Vector‐borne diseases remain an increasing global public health concern. In this work, we investigate the spreading speed of vector‐borne disease via a four‐component reaction–diffusion system posed on non‐coincident straight infinite cylinders, which stands for an unconventional spatial configuration.
Arnaud Ducrot +2 more
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Boundary Value Problems, 2017 This paper deals with a semilinear parabolic equation with variable source under the case that the initial energy is less than the potential well depth. We deduce a sharp threshold for blow-up and global existence of solutions.
Jinge Yang, Haixiong Yu
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Optimal Control of Semilinear Parabolic Equations by BV-Functions [PDF]
SIAM Journal on Control and Optimization, 2017 The work of the first author was supported by Spanish Ministerio de Economía y Competitividad under project MTM2014-57531-P. The work of the third author was supported by the Austrian Science Fund (FWF) under grant SFB F32 (SFB “Mathematical Optimization and Applications in Biomedical Sciences”).
Eduardo Casas +2 more
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Global weak solutions for the compressible Poisson–Nernst–Planck–Navier–Stokes system
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We consider the compressible Poisson–Nernst–Planck–Navier–Stokes (PNPNS) system of equations, governing the transport of charged particles under the influence of the self‐consistent electrostatic potential, in a three‐dimensional bounded domain.
Daniel Marroquin, Dehua Wang
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Strong well‐posedness for a stochastic fluid‐rigid body system via stochastic maximal regularity
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We develop a rigorous analytical framework for a coupled stochastic fluid‐rigid body system in R3$\mathbb {R}^3$. The model describes the motion of a rigid ball immersed in an incompressible Newtonian fluid subjected to both additive noise in the fluid and body equations and transport‐type noise in the fluid equation. We establish local strong
Felix Brandt, Arnab Roy
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Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane +3 more
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A cell complex structure for the space of heteroclines for a semilinear parabolic equation
Electronic Journal of Differential Equations, 2009 It is well known that for many semilinear parabolic equations there is a global attractor which has a cell complex structure with finite dimensional cells.
Michael Robinson
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Existence and Uniqueness of Nonmonotone Solutions in Porous Media Flow
Axioms, 2022 Existence and uniqueness of solutions for a simplified model of immiscible two-phase flow in porous media are obtained in this paper. The mathematical model is a simplified physical model with hysteresis in the flux functions.
Rouven Steinle +3 more
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Communications on Pure and Applied Mathematics, Volume 79, Issue 1, Page 3-88, January 2026.Abstract We address the problem of regularity of solutions ui(t,x1,…,xN)$u^i(t, x^1, \ldots, x^N)$ to a family of semilinear parabolic systems of N$N$ equations, which describe closed‐loop equilibria of some N$N$‐player differential games with Lagrangian having quadratic behaviour in the velocity variable, running costs fi(x)$f^i(x)$ and final costs gi(
Marco Cirant, Davide Francesco Redaelli
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