Found 986 Documents (Results 1–100)
On a porous medium equation with weighted inner source terms and a nonlinear nonlocal boundary condition. (English) Zbl 07922295
Strong solutions to the equations of the unconsolidated porous media in 3D thin domains. (English) Zbl 07915848
Finite volume approximation of a class of 2D elliptic equations with discontinuous and highly oscillating coefficients. (English) Zbl 07907356
Local and global well-posedness for fractional porous medium equation in critical Fourier-Besov spaces. (English) Zbl 07905427
Homogenization of attractors to reaction-diffusion system in a medium with random obstacles. (English) Zbl 07901513
On two notions of solutions to the obstacle problem for the singular porous medium equation. (English) Zbl 07901506
Biological invasion with a porous medium type diffusion in a heterogeneous space. (English) Zbl 07899615
Aronson-Bénilan gradient estimates for porous medium equations under lower bounds of \(n\)-weighted Ricci curvature with \(n < 0\). (English) Zbl 07898743
A characterization of nonnegative stationary solutions for certain 1D degenerate parabolic equations and their applications. (English) Zbl 07896652
An energy formula for fully nonlinear degenerate parabolic equations in one spatial dimension. (English) Zbl 07892688
A trajectorial approach to entropy dissipation for degenerate parabolic equations. (English) Zbl 1542.35235
Classification of nonnegative traveling wave solutions for certain 1D degenerate parabolic equation and porous medium type equation. (English) Zbl 1542.35106
Traveling waves for the porous medium equation in the incompressible limit: asymptotic behavior and nonlinear stability. (English) Zbl 1541.35115
Self-similar shrinking of supports and non-extinction for a nonlinear diffusion equation with spatially inhomogeneous strong absorption. (English) Zbl 1541.35058
Homogenisation of the Stokes equations for evolving microstructure. (English) Zbl 07839398
Reviewer: Adrian Muntean (Karlstad)
Looking forwards and backwards: dynamics and genealogies of locally regulated populations. (English) Zbl 1536.92086
Corrector estimates and numerical simulations of a system of diffusion-reaction-dissolution-precipitation model in a porous medium. (English) Zbl 1536.35035
Continuity up to the boundary for obstacle problems to porous medium type equations. (English) Zbl 1535.35115
Existence of weak solutions for porous medium equation with a divergence type of drift term in a bounded domain. (English) Zbl 1534.35073
Fujita-type results for the degenerate parabolic equations on the Heisenberg groups. (English) Zbl 1533.35022
One-dimensional short-range nearest-neighbor interaction and its nonlinear diffusion limit. (English) Zbl 07802044
Multiscale topology optimization of modulated fluid microchannels based on asymptotic homogenization. (English) Zbl 1536.35034
Global existence and blow-up of solutions to the double nonlinear porous medium equation. (English) Zbl 1531.35166
Properties of the free boundaries for the obstacle problem of the porous medium equations. (English) Zbl 1530.35372
Time-fractional porous medium equation: Erdélyi-Kober integral equations, compactly supported solutions, and numerical methods. (English) Zbl 07784320
Aronson-Bénilan and Harnack estimates for the discrete porous medium equation. (English) Zbl 1527.35455
Application of the semigroup theory to a combustion problem in a multi-layer porous medium. (English) Zbl 07921253
On the global existence and analyticity of the mild solution for the fractional porous medium equation. (English) Zbl 1536.35346
Numerical investigation of MHD Carreau nanofluid flow with nonlinear thermal radiation and Joule heating by employing Darcy-Forchheimer effect over a stretching porous medium. (English) Zbl 1536.35254
A chemotaxis-Stokes system with nonhomogeneous boundary condition: global large-datum solution and asymptotic behavior. (English) Zbl 1536.35335
Quadratic regression analysis of the unsteady \(\mathrm{Ag+TiO_2/H_2O}\), \(\mathrm{Ag+TiO_2/CH_3 OH}\) and \(\mathrm{Ag+TiO_2/H_2 O}\)-\(\mathrm{C_2 H_6O_2}\) hybrid nano-fluids flow along a deformable cylinder with oblique Lorentz force: a comparative approach. (English) Zbl 1537.35294
MSC:
35Q35
35Q74
35Q79
76T20
76S05
76V05
80A19
80A21
78A35
82D80
74F10
74F05
74F15
74F25
74M10
35A24
62J05
65L10
65L06
Global existence for reaction-diffusion evolution equations driven by the \(p \)-Laplacian on manifolds. (English) Zbl 1536.35195
Liouville-type theorem for one-dimensional porous medium systems with sources. (English) Zbl 1533.35048
Blow-up phenomena of solutions to a nonlocal porous medium parabolic equation with space-dependent coefficients and inner absorption terms under nonlinear boundary conditions. (Chinese. English summary) Zbl 07801532
Pointwise estimates of solutions to weighted porous medium and fast diffusion equations via weighted Riesz potentials. (Ukrainian. English summary) Zbl 07799305
Radial equivalence and applications to the qualitative theory for a class of nonhomogeneous reaction-diffusion equations. (English) Zbl 1531.35157
Global sensitivity analysis using multi-resolution polynomial chaos expansion for coupled Stokes-Darcy flow problems. (English) Zbl 1528.76077
Spatial decay estimates for the Forchheimer fluid equations in a semi-infinite cylinder. (English) Zbl 07790539
Generalized parabolic problems having a gradient term with natural growth and a measure initial data. (English) Zbl 1530.35132
Analysis of degenerate Burgers’ equations involving small perturbation and large wave amplitude. (English) Zbl 1530.35153
Aronson-Bénilan estimates for weighted porous medium equations under the geometric flow. (English) Zbl 1536.53201
Reviewer: Lubomira Softova (Fisciano)
Thermal instability of magnetohydrodynamic couple stress nanofluid in rotating porous medium. (English) Zbl 07769125
Optimal lumped control of moisture transfer in porous media. (English. Ukrainian original) Zbl 07765741
Cybern. Syst. Anal. 59, No. 5, 803-811 (2023); translation from Kibern. Sist. Anal. 59, No. 5, 135-143 (2023).
Expansion of positivity for doubly nonlinear parabolic equations and its application. (English) Zbl 1528.35027
Reviewer: Vincenzo Vespri (Firenze)
Incompressible limit of a porous media equation with bistable and monostable reaction term. (English) Zbl 1526.35036
Harnack’s inequality for porous medium equation with singular absorption term. (English) Zbl 1527.35018
Reviewer: Vincenzo Vespri (Firenze)
Flow and heat transfer of a nanofluid through a porous medium due to stretching/shrinking sheet with suction, magnetic field and thermal radiation. (English) Zbl 1538.35383
A Hele-Shaw limit with a variable upper bound and drift. (English) Zbl 1529.35584
Reviewer: Giuseppe Maria Coclite (Bari)
The fractional porous medium equation on manifolds with conical singularities. II. (English) Zbl 1531.35367
Global solvability, pattern formation and stability to a chemotaxis-haptotaxis model with porous medium diffusion. (English) Zbl 1528.35009
Periodic measures for a class of SPDEs with regime-switching. (English) Zbl 1527.60047
Reviewer: Alain Brillard (Riedisheim)
Interface behaviour of the slow diffusion equation with strong absorption: intermediate-asymptotic properties. (English) Zbl 1522.35012
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling. (English) Zbl 1525.35200
Reviewer: Lucio Galeati (Lausanne)
Lower semicontinuity and pointwise behavior of supersolutions for some doubly nonlinear nonlocal parabolic \(p\)-Laplace equations. (English) Zbl 1521.35113
Global boundedness to a 3D chemotaxis-Stokes system with porous medium cell diffusion and general sensitivity under Dirichlet signal boundary condition. (English) Zbl 1518.35117
Convergence rate for the incompressible limit of nonlinear diffusion-advection equations. (English) Zbl 1519.35038
Reviewer: Gelu Paşa (Bucureşti)
Phenotypic heterogeneity in a model of tumour growth: existence of solutions and incompressible limit. (English) Zbl 1518.35159
Dual solutions for the problem of mixed convection flow through a porous medium using an iterative finite difference method. (English) Zbl 1538.35292
Two layer shallow water equations for wave attenuation of a submerged porous breakwater. (English) Zbl 07704185
Local bounds of the gradient of weak solutions to the porous medium equation. (English) Zbl 1518.35452
The porous medium equation with large data on Cartan-Hadamard manifolds under general curvature bounds. (English) Zbl 1518.35453
Uniform tail estimates and \(L^p( {\mathbb{R}}^N) \)-convergence for finite-difference approximations of nonlinear diffusion equations. (English) Zbl 07700760
A note to the large-time behavior of a 3D chemotaxis-Navier-Stokes system with porous medium slow diffusion. (English) Zbl 1516.35097
Global existence and blow-up of solutions to the porous medium equation with reaction and singular coefficients. (English) Zbl 1514.35065
Existence results for a class of nonlinear parabolic equations of generalized porous medium type with measure data. (English) Zbl 1514.35450
Local approximation of heterogeneous porous medium equation by some nonlocal dispersal problems. (English) Zbl 1512.35093
Complexity of asymptotic behavior of solutions for the fractional porous medium equation. (English) Zbl 1512.35472
An inverse problem for the porous medium equation with partial data and a possibly singular absorption term. (English) Zbl 1517.35258
Reviewer: Dinh Nho Hào (Hanoi)
General framework to construct local-energy solutions of nonlinear diffusion equations for growing initial data. (English) Zbl 1510.35137
The porous medium equation as a singular limit of the thin film Muskat problem. (English) Zbl 1509.35228
Derivation of the fractional porous medium equation from a microscopic dynamics. (English) Zbl 1524.76445
A unified approach towards the impossibility of finite time vanishing depth for incompressible free boundary flows. (English) Zbl 1504.35253
Homogenisation of local colloid evolution induced by reaction and diffusion. (English) Zbl 1505.35028
Reviewer: Adrian Muntean (Karlstad)
On the global solvability of porous media type equations with space dependent advection flux. (English) Zbl 1503.35096
Global boundedness to a 3D chemotaxis-Stokes system with porous medium cell diffusion and general sensitivity. (English) Zbl 1498.35086
Reviewer: Yuanyuan Ke (Beijing)
Significance of nanoparticles aggregation and Coriolis force on the dynamics of Prandtl nanofluid: the case of rotating flow. (English) Zbl 07843018
Micropolar fluid flow over a frustum of cone subjected to convective boundary condition: Darcy-Forchheimer model. (English) Zbl 07833127
Saha Ray, Santanu (ed.) et al., Applied analysis, computation and mathematical modelling in engineering. Select proceedings of AACMME 2021, Rourkela, India, February 24–26, 2021. Singapore: Springer. Lect. Notes Electr. Eng. 897, 129-146 (2022).
Hybrid nanofluid flow in a porous medium with second-order velocity slip, suction and heat absorption. (English) Zbl 07811510
The well-posedness and long-time behavior of the nonlocal diffusion porous medium equations with nonlinear term. (English) Zbl 1529.35080
Space-time homogenization problems for porous medium equations with nonnegative initial data. (English) Zbl 1507.35019
Analysis and mean-field derivation of a porous-medium equation with fractional diffusion. (English) Zbl 1502.60102
A RBF-WENO finite difference scheme for non-linear degenerate parabolic equations. (English) Zbl 1504.65165
Asymptotic behavior of solutions to coupled porous medium systems with boundary degeneracy. (English) Zbl 1501.35079
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